Linda Cummings
Distinguished Professor, Office of the Dean - CSLA
Distinguished Professor
Distinguished Professor
208C Cullimore Hall (CULM)
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
Office Hours
By appointment
Website
2025 Fall Courses
MATH 790A - DOCT DISSERTATION & RES
MATH 792B - PRE DOCTORAL RESEARCH
MATH 792B - PRE DOCTORAL RESEARCH
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
Jesus Merino Marcos, Yifan Li, Mark Fasano, Javier Diez, Linda J. Cummings, Ofer Manor, Lou Kondic.
2025. “Monte Carlo-based model for the extraction of oil from oil-water mixtures using wetting and surface acoustic waves.”
Physical Review E , vol. 112 , pp. 025502.
Yifan Li, Jesus Merino Marcos, Mark Fasano, Javier Diez, Linda J. Cummings, Lou Kondic, Ofer Manor. 2025. “Using wetting and ultrasonic waves to extract oil from oil/water mixtures.” Journal of Colloid and Interface Science , vol. 700 , pp. 138442.
Mark Fasano, Javier Diez, Ofer Manor, Lou Kondic, Linda J. Cummings. 2025. “Phase separation of binary fluid mixture under external force.” J. Eng. Mechanics , vol. 152 , pp. 12.
Jimmie Adriazola, Binan Gu, Linda J. Cummings, Lou Kondic. 2025. “Fractal dimension of non-Newtonian Hele-Shaw flow subject to Saffman-Taylor instability.” Physical Review E , vol. 110 , pp. 065107.
Ryan Allaire, Linda J. Cummings, Lou Kondic. 2025. “Using thermal crowding to direct pattern formation on the nanoscale.” Physical Review Letters , vol. 133 , pp. 214003.
Yifan Li, Jesus Merino Marcos, Mark Fasano, Javier Diez, Linda J. Cummings, Lou Kondic, Ofer Manor. 2025. “Using wetting and ultrasonic waves to extract oil from oil/water mixtures.” Journal of Colloid and Interface Science , vol. 700 , pp. 138442.
Mark Fasano, Javier Diez, Ofer Manor, Lou Kondic, Linda J. Cummings. 2025. “Phase separation of binary fluid mixture under external force.” J. Eng. Mechanics , vol. 152 , pp. 12.
Jimmie Adriazola, Binan Gu, Linda J. Cummings, Lou Kondic. 2025. “Fractal dimension of non-Newtonian Hele-Shaw flow subject to Saffman-Taylor instability.” Physical Review E , vol. 110 , pp. 065107.
Ryan Allaire, Linda J. Cummings, Lou Kondic. 2025. “Using thermal crowding to direct pattern formation on the nanoscale.” Physical Review Letters , vol. 133 , pp. 214003.
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Conference Abstract
“Correlating topology and performance of membrane filter pore networks”
Frontiers in Applied and Computational Mathematics, June, 2025.
“Laser heating and melting of metals on nanoscale: breakup of metal filaments & thermal crowding”
12th Conference of the International Marangoni Association, June, 2025.
“Modeling the dynamics of an oil drop driven by a surface acoustic wave in the underlying substrate”
Frontiers in Applied and Computational Mathematics, June, 2025.
“Nonlinear dynamics of vibrated fluid drops”
Frontiers in Applied and Computational Mathematics, June, 2025.
“Understanding fluid flux: Topological data analysis of porous media”
Frontiers in Applied and Computational Mathematics, June, 2025.
Frontiers in Applied and Computational Mathematics, June, 2025.
“Laser heating and melting of metals on nanoscale: breakup of metal filaments & thermal crowding”
12th Conference of the International Marangoni Association, June, 2025.
“Modeling the dynamics of an oil drop driven by a surface acoustic wave in the underlying substrate”
Frontiers in Applied and Computational Mathematics, June, 2025.
“Nonlinear dynamics of vibrated fluid drops”
Frontiers in Applied and Computational Mathematics, June, 2025.
“Understanding fluid flux: Topological data analysis of porous media”
Frontiers in Applied and Computational Mathematics, June, 2025.
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Conference Paper
“Laser heating and melting of metals on nanoscale: breakup of metal filaments”
International Heat Transfer Conference Publisher, August, 2023.
International Heat Transfer Conference Publisher, August, 2023.
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.
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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
Proceeding of the Royal Society: A
Editorial Board , 2021
IMA Journal of Applied Mathematics
Editorial Board , 2011
Editorial Board , 2022
Proceeding of the Royal Society: A
Editorial Board , 2021
IMA Journal of Applied Mathematics
Editorial Board , 2011