Linda Cummings

Professor, Mathematical Sciences

208C Cullimore Hall

About Me

Professor Cummings studied for her BA and PhD at the University of Oxford. She held postdoctoral positions at U. Oxford, Technion IIT, Ecole Normale Superieure (Paris), and a faculty position at the University of Nottingham, before coming to NJIT in 2008.

Education

Ph.D.; University of Oxford; Mathematics; 1996

B.A.; University of Oxford; Mathematics; 1993

B.A.; University of Oxford; Mathematics; 1993

Website

2022 Fall Courses

MATH 790A - DOCT DISSERTATION & RES

MATH 790C - DOCT DISSERTATION & RES

MATH 790E - DOCTORAL DISSERTATION

MATH 792B - PRE DOCTORAL RESEARCH

MATH 790B - DOCT DISSERTATION & RES

MATH 790D - DOCT DISSERTATION & RES

MATH 790C - DOCT DISSERTATION & RES

MATH 790E - DOCTORAL DISSERTATION

MATH 792B - PRE DOCTORAL RESEARCH

MATH 790B - DOCT DISSERTATION & RES

MATH 790D - DOCT DISSERTATION & RES

Office Hours

By appointment

Teaching Interests

Complex analysis, fluid dynamics, differential equations, mathematical modeling, calculus.

Past Courses

MATH 112: CALCULUS II

MATH 213: CALCULUS IIIB

MATH 222: DIFFERENTIAL EQUATIONS

MATH 227: MATHEMATICAL MODELING

MATH 331: INTRO PARTIAL DIFF EQ

MATH 331: INTRODUCTION TO PARTIAL DIFFERENTIAL EQUATIONS

MATH 332: INTRO COMPLEX VARIABLES

MATH 451: METHODS APPL MATH II

MATH 613: ADV APPLIED MATH-MODELNG

MATH 656: COMPLEX VARIABLES

MATH 656: COMPLEX VARIABLES I

MATH 689: ADV APPLIED MATH II

MATH 715: MATHEMATICAL FLUID DYNAMICS I

MATH 756: COMPLEX VARIABLES II

MATH 791: GRADUATE SEMINAR

MATH 213: CALCULUS IIIB

MATH 222: DIFFERENTIAL EQUATIONS

MATH 227: MATHEMATICAL MODELING

MATH 331: INTRO PARTIAL DIFF EQ

MATH 331: INTRODUCTION TO PARTIAL DIFFERENTIAL EQUATIONS

MATH 332: INTRO COMPLEX VARIABLES

MATH 451: METHODS APPL MATH II

MATH 613: ADV APPLIED MATH-MODELNG

MATH 656: COMPLEX VARIABLES

MATH 656: COMPLEX VARIABLES I

MATH 689: ADV APPLIED MATH II

MATH 715: MATHEMATICAL FLUID DYNAMICS I

MATH 756: COMPLEX VARIABLES II

MATH 791: GRADUATE SEMINAR

Research Interests

Fluid dynamics, liquid crystals, free boundary problems, asymptotics, complex variable methods, mathematical modeling of industrial and biomedical systems.

Journal Article

Sun, Yixuan, & Cummings, Linda, & Kondic, Lou (2022). Filtration with Multiple Species of Particles.

Gu, Binan, & Cummings, Linda, & Kondic, Lou (2022). Network-based membrane filters: Influence of network and pore size variability on filtration performance.

Gu, Binan, & Cummings, Linda, & Kondic, Lou (2022). A Graphical Representation of Membrane Filtration.

Allaire, Ryan, & Cummings, Linda, & Kondic, Lou (2022). Influence of thermal effects on the breakup of thin films of nanometric thickness.

Fong, D., & Cummings, Linda, & Chapman, S., & Sanaei, P. (2021). On the performance of multilayered membrane filters.

*Transport in Porous Media*,*5*, 044306.Gu, Binan, & Cummings, Linda, & Kondic, Lou (2022). Network-based membrane filters: Influence of network and pore size variability on filtration performance.

*J. Membrane Science*,*657*, 120668.Gu, Binan, & Cummings, Linda, & Kondic, Lou (2022). A Graphical Representation of Membrane Filtration.

*SIAM J. Appl. Math.*,*82*, 950.Allaire, Ryan, & Cummings, Linda, & Kondic, Lou (2022). Influence of thermal effects on the breakup of thin films of nanometric thickness.

*Phys. Rev. Fluids*,*7*, 064001.Fong, D., & Cummings, Linda, & Chapman, S., & Sanaei, P. (2021). On the performance of multilayered membrane filters.

*Journal of Engineering Mathematics*,*127*(1), SHOW MORE

Kondic, Lou, & Cummings, Linda (2021). Instabilities of nematic liquid crystal films.

Allaire, Ryan, & Cummings, Linda, & Kondic, Lou (2021). On efficient asymptotic modelling of thin films on thermally conductive substrates.

Allaire, Ryan, & Kondic, Lou, & Cummings, Linda, & Rack, Philip, & Fuentes-Cabrera, Miguel (2021). The Role of Phase Separation on Rayleigh-Plateau Type Instabilities in Alloys.

Mema, Ensela, & Kondic, Lou, & Cummings, Linda (2021). Dielectrowetting of a thin nematic liquid crystal layer.

Lam, Michael, & Cummings, Linda, & Kondic, Lou (2020). Effects of spatially-varying substrate anchoring on instabilities and dewetting of thin Nematic Liquid Crystal films.

Gu, Binan, & Renaud, Dilan, & Sanai, Pejman, & Kondic, Lou, & Cummings, Linda (2020). On the influence of pore connectivity on performance of membrane filters.

Sun, Yixuan, & Sanaei, Pejman, & Kondic, Lou, & Cummings, Linda (2020). Modeling and design optimization for pleated membrane filters.

Sanaei, Pejman, & Cummings, Linda (2019). Membrane filtration with multiple fouling mechanisms.

Batson, William, & Cummings, Linda, & Shirokoff, David, & Kondic, Lou (2019). Oscillatory instability of liquid ﬁlms nonlocally heated from below.

Sanaei, Pejman, & Cummings, Linda, & Waters, Sarah, & Griffiths, Ian (2019). Curvature- and fluid-stress-driven growth in a tissue engineering scaffold.

Allaire, Ryan , & Dhakane, A., & Emery, R. , & Ganesh, P. , & Rack, P. , & Kondic, Lou, & Cummings, Linda, & Fuentes-Cabrera, M. (2019). Surface, Interface, and Temperature Effects on the Phase Separation and Nanoparticle Self Assembly of Bi-Metallic Ni0.5Ag0.5: A Molecular Dynamics Study.

Lam, Michael, & Cummings, Linda, & Kondic, Lou (2019). Computing dynamics of thin films via large-scale GPU-based simulations.

Sanaei, Pejman, & Cummings, Linda (2018). Membrane filtration with complex branching pore morphology.

Mema, Ensela, & Kondic, Lou, & Cummings, Linda (2018). Director gliding in a nematic liquid crystal layer: Quantitative comparison with experiments.

Lam, Michael, & Cummings, Linda, & Kondic, Lou (2018). Stability of thin fluid films characterized by a complex form of effective disjoining pressure.

Fong, Daniel, & Cummings, Linda (2017). Mathematical Modeling of Ischemia-Reperfusion Injury and Postconditioning Therapy .

Sanaei, Pejman, & Cummings, Linda (2017). Flow and fouling in membrane filters: effects of membrane morphology.

Mema, Ensela, & Kondic, Lou, & Cummings, Linda (2017). Effects of flexoelectricity and weak anchoring on a Freedericksz transition cell.

Sanaei, Pejman , & Richardson, Giles, & Witelski, Tom, & Cummings, Linda (2016). Flow and fouling in a pleated membrane filter.

Afkhami , Shahriar, & Cummings, Linda, & Griffiths, Ian (2016). Interfacial deformation and jetting of a magnetic fluid.

Mema, Ensela, & Kondic, Lou, & Cummings, Linda (2015). Substrate induced gliding in a nematic liquid crystal layer.

Anderson, Thomas, & Mema, Ensela, & Kondic, Lou, & Cummings, Linda (2015). Transitions in Poiseuille flow of nematic liquid crystal.

Lam, Michael, & Cummings, Linda, & Lin, Te-Sheng, & Kondic, Lou (2015). Three-dimensional coating flow of nematic liquid crystal on an inclined substrate.

Cummings, Linda, & Low, Jonathan, & Myers, Tim (2014). Extensional flow of nematic liquid crystal with an applied electric field.

Cummings, Linda, & Mema, Ensela, & Cai, Chenjing, & Kondic, Lou (2014). Electric field variations within a nematic liquid crystal layer.

Pohlmeyer, Jeffrey, & Cummings, Linda (2013). Cyclic loading of growing tissue in a bioreactor: Mathematical model and asymptotic analysis.

Lin, Te-Sheng, & Cummings, Linda, & Archer, Andrew, & Kondic, Lou, & Thiele, Uwe (2013). Note on the hydrodynamic description of thin nematic films: strong anchoring model.

Cummings, Linda, & Cai, Chenjing, & Kondic, Lou (2013). Bifurcation properties of nematic liquid crystals exposed to an electric field: switchability, bistability & multistability.

Lin, Te-Sheng, & Kondic, Lou, & Thiele, Uwe, & Cummings, Linda (2013). Modelling spreading dynamics of liquid crystals in three spatial dimensions.

Cummings, Linda, & Cai, Chenjing, & Kondic, Lou (2013). Towards an optimal model for a bistable nematic liquid crystal display device.

Taroni, Michele, & Breward, Chris, & Cummings, Linda, & Griffiths, Ian (2013). Asymptotic solutions of glass temperature profiles during steady optical fibre drawing.

Pohlmeyer, Jeffrey, & Waters, Sarah, & Cummings, Linda (2013). Mathematical model of growth factor driven haptotaxis and proliferation in a tissue engineering scaffold.

Cummings, Linda, & Perez-Castillejos, Raquel, & Mack, Eric (2012). Analysis of biochemical equilibria relevant to the immune response: finding the dissociation constants.

Lin, Te-Sheng, & Kondic, Lou, & Cummings, Linda (2012). Defect modeling in spreading nematic droplets.

Naughton, Sean, & Patel, Namrata, & Seric, Ivana, & Kondic, Lou, & Lin, Te-Sheng, & Cummings, Linda (2012). Instability of gravity-driven flow of liquid crystal films.

Lin, Te-Sheng, & Kondic, Lou, & Cummings, Linda (2012). Defect modeling in spreading nematic droplets.

Cummings, Linda, & Lin, Te-Sheng, & Kondic, Lou (2011). Modeling and simulations of the spreading and destabilization of small nematic droplets.

Mack, Eric, & Cummings, Linda, & Perez-Castillejos, Raquel (2010). Mathematical Model for Determining the Binding Constants between Immunoglobulins, Bivalent Ligands, and Monovalent Ligands.

Ashi, Hala, & Cummings, Linda, & Matthews, Paul (2010). Exponential time-differencing methods: stability analysis and application to the nonlinear Schrodinger equation.

Cummings, Linda, & Band, Leah, & Waters, Sarah, & Wattis, Jonathan (2009). Modelling crystal aggregation and deposition in the catheterised lower urinary tract.

Cummings, Linda, & Sawyer, Nicholas, & Morgan, Stephen, & Rose, Felicity, & Waters, Sarah (2009). Tracking large solid constructs suspended in a rotating bioreactor: a combined experimental and theoretical study.

Yi, Xiang, & Wattis, Jonathan, & Susanto, Hadi, & Cummings, Linda (2009). Discrete breathers in a 2D spring-mass lattice.

Cummings, Linda, & Yi, Xiang, & Wattis, Jonathan, & Susanto, Hadi (2009). Discrete breathers in a two-dimensional spring-mass lattice.

Cummings, Linda, & Ashi, Hala , & Matthews, Paul (2009). Comparison of Methods for evaluating functions of a matrix exponential.

Cummings, Linda, & Whittaker, Robert, & Booth, Richard, & Dyson, Rosemary, & Bailey, Claire, & Chini, Louise, & Naire, Shailesh, & Payvandi, Sevil, & Rong, Zimei, & Woollard, Hannah , & Waters, Sarah (2009). Mathematical modelling of fibre-enhanced perfusion in a tissue engineering bioreactor.

Cummings, Linda, & Siggers, Jennifer, & Waters, Sarah, & Wattis, Jonathan (2009). Flow dynamics in a stented ureter.

*Curries. Opin. Colloid In.*,*455*, 101478.Allaire, Ryan, & Cummings, Linda, & Kondic, Lou (2021). On efficient asymptotic modelling of thin films on thermally conductive substrates.

*Journal of Fluid Mechanics*,*915*, A133.Allaire, Ryan, & Kondic, Lou, & Cummings, Linda, & Rack, Philip, & Fuentes-Cabrera, Miguel (2021). The Role of Phase Separation on Rayleigh-Plateau Type Instabilities in Alloys.

*Journal of Physical Chemistry C*,*125*, 5723.Mema, Ensela, & Kondic, Lou, & Cummings, Linda (2021). Dielectrowetting of a thin nematic liquid crystal layer.

*Physical Review E*,*103*, 032702.Lam, Michael, & Cummings, Linda, & Kondic, Lou (2020). Effects of spatially-varying substrate anchoring on instabilities and dewetting of thin Nematic Liquid Crystal films.

*Soft Matter*,*16*, 10187.Gu, Binan, & Renaud, Dilan, & Sanai, Pejman, & Kondic, Lou, & Cummings, Linda (2020). On the influence of pore connectivity on performance of membrane filters.

*Journal of Fluid Mechanics*,*902*, A5.Sun, Yixuan, & Sanaei, Pejman, & Kondic, Lou, & Cummings, Linda (2020). Modeling and design optimization for pleated membrane filters.

*Physical Review Fluids*,*5*(4), 044306.Sanaei, Pejman, & Cummings, Linda (2019). Membrane filtration with multiple fouling mechanisms.

*Physical Review Fluids*,*4*(12), 124301.Batson, William, & Cummings, Linda, & Shirokoff, David, & Kondic, Lou (2019). Oscillatory instability of liquid ﬁlms nonlocally heated from below.

*Journal of Fluid Mechanics*,*872*, 928-962.Sanaei, Pejman, & Cummings, Linda, & Waters, Sarah, & Griffiths, Ian (2019). Curvature- and fluid-stress-driven growth in a tissue engineering scaffold.

*Biomechanics and modeling in Mechanobiology*,*18*(3), 589.Allaire, Ryan , & Dhakane, A., & Emery, R. , & Ganesh, P. , & Rack, P. , & Kondic, Lou, & Cummings, Linda, & Fuentes-Cabrera, M. (2019). Surface, Interface, and Temperature Effects on the Phase Separation and Nanoparticle Self Assembly of Bi-Metallic Ni0.5Ag0.5: A Molecular Dynamics Study.

*Nanomaterials*,*9*, 1040.Lam, Michael, & Cummings, Linda, & Kondic, Lou (2019). Computing dynamics of thin films via large-scale GPU-based simulations.

*Journal of Computational Physics X*,*2*, 100001.Sanaei, Pejman, & Cummings, Linda (2018). Membrane filtration with complex branching pore morphology.

*Physical Review Fluids*,*3*(9), 094305.Mema, Ensela, & Kondic, Lou, & Cummings, Linda (2018). Director gliding in a nematic liquid crystal layer: Quantitative comparison with experiments.

*Physical Review E*,*97*(3), 032704.Lam, Michael, & Cummings, Linda, & Kondic, Lou (2018). Stability of thin fluid films characterized by a complex form of effective disjoining pressure.

*Journal of Fluid Mechanics*,*841*, 925-961.Fong, Daniel, & Cummings, Linda (2017). Mathematical Modeling of Ischemia-Reperfusion Injury and Postconditioning Therapy .

*Bulletin of Mathematical Biology*,*79*(11), 2474-2511.Sanaei, Pejman, & Cummings, Linda (2017). Flow and fouling in membrane filters: effects of membrane morphology.

*Journal of Fluid Mechanics*,*818*, 744-771.Mema, Ensela, & Kondic, Lou, & Cummings, Linda (2017). Effects of flexoelectricity and weak anchoring on a Freedericksz transition cell.

*Physical Review E*,*95*, 012701.Sanaei, Pejman , & Richardson, Giles, & Witelski, Tom, & Cummings, Linda (2016). Flow and fouling in a pleated membrane filter.

*Journal of Fluid Mechanics*,*795*, 36-59.Afkhami , Shahriar, & Cummings, Linda, & Griffiths, Ian (2016). Interfacial deformation and jetting of a magnetic fluid.

*Computers and Fluids*,*124*, 149–156.Mema, Ensela, & Kondic, Lou, & Cummings, Linda (2015). Substrate induced gliding in a nematic liquid crystal layer.

*Physical Review E*,*92*(6), 062513.Anderson, Thomas, & Mema, Ensela, & Kondic, Lou, & Cummings, Linda (2015). Transitions in Poiseuille flow of nematic liquid crystal.

*International Journal of Nonlinear Mechanics*,*75*, 15-21.Lam, Michael, & Cummings, Linda, & Lin, Te-Sheng, & Kondic, Lou (2015). Three-dimensional coating flow of nematic liquid crystal on an inclined substrate.

*European Journal of Applied Mathematics*,*26*(5), 647-669.Cummings, Linda, & Low, Jonathan, & Myers, Tim (2014). Extensional flow of nematic liquid crystal with an applied electric field.

*European Journal of Applied Mathematics*,*25*(4), 397.Cummings, Linda, & Mema, Ensela, & Cai, Chenjing, & Kondic, Lou (2014). Electric field variations within a nematic liquid crystal layer.

*Physical Review E*,*90*, 012503.Pohlmeyer, Jeffrey, & Cummings, Linda (2013). Cyclic loading of growing tissue in a bioreactor: Mathematical model and asymptotic analysis.

*Bulletin of Mathematical Biology*,*Online*,Lin, Te-Sheng, & Cummings, Linda, & Archer, Andrew, & Kondic, Lou, & Thiele, Uwe (2013). Note on the hydrodynamic description of thin nematic films: strong anchoring model.

*Physics of Fluids*,*25*(8), 082102.Cummings, Linda, & Cai, Chenjing, & Kondic, Lou (2013). Bifurcation properties of nematic liquid crystals exposed to an electric field: switchability, bistability & multistability.

*Physical Review E*,*88*, 012509.Lin, Te-Sheng, & Kondic, Lou, & Thiele, Uwe, & Cummings, Linda (2013). Modelling spreading dynamics of liquid crystals in three spatial dimensions.

*Journal of Fluid Mechanics*,*729*, 214-230.Cummings, Linda, & Cai, Chenjing, & Kondic, Lou (2013). Towards an optimal model for a bistable nematic liquid crystal display device.

*Journal of Engineering Mathematics*,*80*(1), 21-38.Taroni, Michele, & Breward, Chris, & Cummings, Linda, & Griffiths, Ian (2013). Asymptotic solutions of glass temperature profiles during steady optical fibre drawing.

*Journal of Engineering Mathematics*,*80*(1), 1-20.Pohlmeyer, Jeffrey, & Waters, Sarah, & Cummings, Linda (2013). Mathematical model of growth factor driven haptotaxis and proliferation in a tissue engineering scaffold.

*Bulletin of Mathematical Biology*,*75*(3), 393-427.Cummings, Linda, & Perez-Castillejos, Raquel, & Mack, Eric (2012). Analysis of biochemical equilibria relevant to the immune response: finding the dissociation constants.

*Bulletin of Mathematical Biology*,*74*(5), 1171-1206.Lin, Te-Sheng, & Kondic, Lou, & Cummings, Linda (2012). Defect modeling in spreading nematic droplets.

*Physical Review E*,*85*, 012702.Naughton, Sean, & Patel, Namrata, & Seric, Ivana, & Kondic, Lou, & Lin, Te-Sheng, & Cummings, Linda (2012). Instability of gravity-driven flow of liquid crystal films.

*SIAM Undergraduate Research Online*,*5*, 1.Lin, Te-Sheng, & Kondic, Lou, & Cummings, Linda (2012). Defect modeling in spreading nematic droplets.

*Physical Review E*, 012702.Cummings, Linda, & Lin, Te-Sheng, & Kondic, Lou (2011). Modeling and simulations of the spreading and destabilization of small nematic droplets.

*Physics of Fluids*,*23*, 043102, 1 - 11.Mack, Eric, & Cummings, Linda, & Perez-Castillejos, Raquel (2010). Mathematical Model for Determining the Binding Constants between Immunoglobulins, Bivalent Ligands, and Monovalent Ligands.

*Analytical and Bioanalytical Chemistry*,*399*(4), 1641-1652.Ashi, Hala, & Cummings, Linda, & Matthews, Paul (2010). Exponential time-differencing methods: stability analysis and application to the nonlinear Schrodinger equation.

*International Journal of Numerical Methods and Applications*,*4*, 99-128.Cummings, Linda, & Band, Leah, & Waters, Sarah, & Wattis, Jonathan (2009). Modelling crystal aggregation and deposition in the catheterised lower urinary tract.

*Journal of Mathematical Biology*,*59*(6), 809-840.Cummings, Linda, & Sawyer, Nicholas, & Morgan, Stephen, & Rose, Felicity, & Waters, Sarah (2009). Tracking large solid constructs suspended in a rotating bioreactor: a combined experimental and theoretical study.

*Biotechnology & Bioengineering*,*104*(6), 1224-1234.Yi, Xiang, & Wattis, Jonathan, & Susanto, Hadi, & Cummings, Linda (2009). Discrete breathers in a 2D spring-mass lattice.

*Journal of Physics A: Mathematical & Theoretical*,*42*(35), 355207.Cummings, Linda, & Yi, Xiang, & Wattis, Jonathan, & Susanto, Hadi (2009). Discrete breathers in a two-dimensional spring-mass lattice.

*Journal of Physics A: Mathematical & Theoretical*,*42*(35), 355207.Cummings, Linda, & Ashi, Hala , & Matthews, Paul (2009). Comparison of Methods for evaluating functions of a matrix exponential.

*Applied Numerical Mathematics*,*59*, 468-486.Cummings, Linda, & Whittaker, Robert, & Booth, Richard, & Dyson, Rosemary, & Bailey, Claire, & Chini, Louise, & Naire, Shailesh, & Payvandi, Sevil, & Rong, Zimei, & Woollard, Hannah , & Waters, Sarah (2009). Mathematical modelling of fibre-enhanced perfusion in a tissue engineering bioreactor.

*Journal of Theoretical Biology*,*256*(4), 533-546.Cummings, Linda, & Siggers, Jennifer, & Waters, Sarah, & Wattis, Jonathan (2009). Flow dynamics in a stented ureter.

*Oxford Journals/IMA*,*26*(1), 1-24.COLLAPSE

Conference Abstract

Dewetting of nematic liquid crystal films

Bulletin of the American Physical Society, March 2020

Simulating instabilities of liquid metal alloys on nanoscale using molecular dynamics simulations

Bulletin of the American Physical Society, March 2020

Wetting and dewetting of nanoscale films of nematic liquid crystal

Bulletin of the American Physical Society, March 2020

Modeling dynamics of thin films including thermal effects

February 2020

Instabilities of Liquid Crystal Films on Nanoscale

November 2019

Bulletin of the American Physical Society, March 2020

Simulating instabilities of liquid metal alloys on nanoscale using molecular dynamics simulations

Bulletin of the American Physical Society, March 2020

Wetting and dewetting of nanoscale films of nematic liquid crystal

Bulletin of the American Physical Society, March 2020

Modeling dynamics of thin films including thermal effects

February 2020

Instabilities of Liquid Crystal Films on Nanoscale

November 2019

SHOW MORE

Metal films of nanoscale thickness: from targeted experiments to predictive modeling and accurate simulations

Karlsruhe Institute of Technology, September 2019

Stochastic Modeling of Flow Through Complex Geometries

U. Buenos Aires, June 2019

Modeling liquid crystal films on nanoscale

BIRS Conference Center, April (2nd Quarter/Spring) 2019

Dewetting and pattern formation in ultra-thin films of nematic liquid crystal: effects of variable substrate anchoring

American Physical Society, November 2018

Flow and fouling in multi-layered membrane filters

Bulletin of the American Physical Society, November 2018

Flow and fouling in multi-layered membrane filters

American Physical Society, November 2018

Including thermal effects in computing dynamics of thin films on thermally conductive substrates

American Physical Society, November 2018

Membrane filtration with multiple fouling mechanisms

American Physical Society, November 2018

Modeling and design optimization for pleated membrane filters

American Physical Society, November 2018

Modeling filtering process using stochastic simulations of Monte-Carlo type

American Physical Society, November 2018

Modelling connectivity and asymmetry in membrane filters

Bulletin of the American Physical Society, November 2018

Stability of fluid films of nanoscale thickness involving contact lines

American Physical Society, November 2018

Karlsruhe Institute of Technology, September 2019

Stochastic Modeling of Flow Through Complex Geometries

U. Buenos Aires, June 2019

Modeling liquid crystal films on nanoscale

BIRS Conference Center, April (2nd Quarter/Spring) 2019

Dewetting and pattern formation in ultra-thin films of nematic liquid crystal: effects of variable substrate anchoring

American Physical Society, November 2018

Flow and fouling in multi-layered membrane filters

Bulletin of the American Physical Society, November 2018

Flow and fouling in multi-layered membrane filters

American Physical Society, November 2018

Including thermal effects in computing dynamics of thin films on thermally conductive substrates

American Physical Society, November 2018

Membrane filtration with multiple fouling mechanisms

American Physical Society, November 2018

Modeling and design optimization for pleated membrane filters

American Physical Society, November 2018

Modeling filtering process using stochastic simulations of Monte-Carlo type

American Physical Society, November 2018

Modelling connectivity and asymmetry in membrane filters

Bulletin of the American Physical Society, November 2018

Stability of fluid films of nanoscale thickness involving contact lines

American Physical Society, November 2018

COLLAPSE

Conference Proceeding

The effect of scaffold morphology on tissue growth

Bulletin of the American Physical Society, March 2018

Instability of a liquid film non-locally heated from below

Bulletin of the American Physical Society, November 2017

Modeling filtration and fouling within a microstructured membrane filter

Bulletin of the American Physical Society, November 2017

Stochastic approach to model fouling in membrane filters with complex pore morphology

Bulletin of the American Physical Society, November 2017

Internal structure and morphology profile in optimizing filter membrane performance

Bulletin of the American Physical Society, March 2017

Bulletin of the American Physical Society, March 2018

Instability of a liquid film non-locally heated from below

Bulletin of the American Physical Society, November 2017

Modeling filtration and fouling within a microstructured membrane filter

Bulletin of the American Physical Society, November 2017

Stochastic approach to model fouling in membrane filters with complex pore morphology

Bulletin of the American Physical Society, November 2017

Internal structure and morphology profile in optimizing filter membrane performance

Bulletin of the American Physical Society, March 2017

SHOW MORE

Modeling branching pore structures in membrane filters

Bulletin of the American Physical Society, November 2016

Asymptotic model for three dimensional coating flow of nematic liquid crystal on an inclined substrate

Bulletin of the American Physical Society, March 2015

Substrate induced gliding for a nematic liquid crystal layer

Bulletin of the American Physical Society, March 2015

Free surface dynamics of nematic liquid crystal

Bulletin of the American Physical Society, November 2014

Changes in membrane filter capture efficiency due to folding

MPI 2013, Worcester Polytechnic Institute, October (4th Quarter/Autumn) 2013

Modeling of three-dimensional nematic droplets

Proceedings of 24th International Liquid Crystals conference, July (3rd Quarter/Summer) 2012

Matched asymptotic solutions of glass temperature profiles during optical fiber drawing

MPI 2011, New Jersey Institute of Technology, February 2012

Modeling spreading of nematic liquid crystal droplets

American Mathematical Society, April (2nd Quarter/Spring) 2011

Direct numerical simulation of ferrofluid drops in a cylindrical microfluidic under the influence of a non-uniform magnetic field

Proceedings of 16th US National Congress of Theoretical & Applied Mechanics, State College, PA, June 2010

Evolution of an elliptical bubble in an accelerating extensional flow

Mathematical Problems in Industry, September 2008

Bulletin of the American Physical Society, November 2016

Asymptotic model for three dimensional coating flow of nematic liquid crystal on an inclined substrate

Bulletin of the American Physical Society, March 2015

Substrate induced gliding for a nematic liquid crystal layer

Bulletin of the American Physical Society, March 2015

Free surface dynamics of nematic liquid crystal

Bulletin of the American Physical Society, November 2014

Changes in membrane filter capture efficiency due to folding

MPI 2013, Worcester Polytechnic Institute, October (4th Quarter/Autumn) 2013

Modeling of three-dimensional nematic droplets

Proceedings of 24th International Liquid Crystals conference, July (3rd Quarter/Summer) 2012

Matched asymptotic solutions of glass temperature profiles during optical fiber drawing

MPI 2011, New Jersey Institute of Technology, February 2012

Modeling spreading of nematic liquid crystal droplets

American Mathematical Society, April (2nd Quarter/Spring) 2011

Direct numerical simulation of ferrofluid drops in a cylindrical microfluidic under the influence of a non-uniform magnetic field

Proceedings of 16th US National Congress of Theoretical & Applied Mechanics, State College, PA, June 2010

Evolution of an elliptical bubble in an accelerating extensional flow

Mathematical Problems in Industry, September 2008

COLLAPSE

Other

Effect of an applied electric field on a weakly-anchored non-planar Nematic Liquid Crystal (NLC) layer

American Physical Society Meeting Abstracts, March 2016

Flow and fouling in membrane filters: Effect of membrane morphology

American Physical Society Meeting Abstracts, November 2015

American Physical Society Meeting Abstracts, March 2016

Flow and fouling in membrane filters: Effect of membrane morphology

American Physical Society Meeting Abstracts, November 2015

Technical Report

Two problems on the flow of viscous sheets of molten glass

RPI, April (2nd Quarter/Spring) 2011

RPI, April (2nd Quarter/Spring) 2011

Material Regarding New Courses/Curricula

Lecture notes for Math 756: Complex Analysis II

Lecture notes for Math 656: Complex Analysis and applications

Lecture notes for Math 656: Complex Analysis and applications

Professional

SIAM Journal on Applied Mathematics

Editorial Board, 2022 - Present

Proceeding of the Royal Society: A

Editorial Board, 2021 - Present

IMA Journal of Applied Mathematics

Editorial Board, 2011 - Present

Editorial Board, 2022 - Present

Proceeding of the Royal Society: A

Editorial Board, 2021 - Present

IMA Journal of Applied Mathematics

Editorial Board, 2011 - Present