Anand Oza
Anand Oza
Associate Professor, Mathematical Sciences
510 Cullimore Hall (CULM)
About Me
Dr. Oza obtained his Ph.D. from the Massachusetts Institute of Technology (MIT). He was most recently a postdoctoral fellow at the Courant Institute of Mathematical Sciences, New York University.
Education
Ph.D.; Massachusetts Institute of Technology; Mathematics; 2014
M.A.; University of Cambridge; Applied Mathematics & Theoretical Physics; 2009
B.A.; Princeton University; Chemistry; 2004
M.A.; University of Cambridge; Applied Mathematics & Theoretical Physics; 2009
B.A.; Princeton University; Chemistry; 2004
Website
2024 Fall Courses
MATH 790A - DOCT DISSERTATION & RES
MATH 792B - PRE DOCTORAL RESEARCH
MATH 792B - PRE DOCTORAL RESEARCH
Past Courses
MATH 111: CALCULUS I
MATH 211: CALCULUS III A
MATH 331: INTRODUCTION TO PARTIAL DIFFERENTIAL EQUATIONS
MATH 337: LINEAR ALGEBRA
MATH 689: ADV APPLIED MATH II
MATH 689: ADVANCED APPLIED MATHEMATICS II: ORDINARY DIFFERENTIAL EQUATIONS
MATH 690: ADV APPLIED MATH III
MATH 690: ADVANCED APPLIED MATHEMATICS III: PARTIAL DIFFERENTIAL EQUATIONS
MATH 211: CALCULUS III A
MATH 331: INTRODUCTION TO PARTIAL DIFFERENTIAL EQUATIONS
MATH 337: LINEAR ALGEBRA
MATH 689: ADV APPLIED MATH II
MATH 689: ADVANCED APPLIED MATHEMATICS II: ORDINARY DIFFERENTIAL EQUATIONS
MATH 690: ADV APPLIED MATH III
MATH 690: ADVANCED APPLIED MATHEMATICS III: PARTIAL DIFFERENTIAL EQUATIONS
Research Interests
Dr. Oza is interested in fluid mechanics and nonlinear dynamics, specifically with applications in soft matter physics and biology. His research utilizes a combination of analytical techniques and numerical simulations, typically in collaboration with experimentalists.
Journal Article
Nguyen, Hung D, & Oza, Anand U. (2024). The invariant measure of a walking droplet in hydrodynamic pilot-wave theory. Nonlinearity, 37(9), 095009.
Oza, Anand U., & Pucci, Giuseppe, & Ho, Ian, & Harris, Daniel M (2023). Theoretical modeling of capillary surfer interactions on a vibrating fluid bath. Physical Review Fluids, 8(114011),
Ho, Ian, & Pucci, Giuseppe, & Oza, Anand U., & Harris, Daniel M (2023). Capillary surfers: wave-driven particles at a fluid interface. Physical Review Fluids, 8(L112011),
Baddoo, Peter J, & Moore, Nicholas J, & Oza, Anand U., & Crowdy, Darren G (2023). Generalization of waving-plate theory to multiple interacting swimmers. Communications on Pure and Applied Mathematics, 76(12), 3811-3851.
Nguyen, Quynh , & Oza, Anand U., & Abouezzi, Joanna , & Sun, Guanhua, & Childress, Stephen , & Frederick, Christina A., & Ristroph, Leif (2021). Flow rectification in loopy network models of bird lungs. Physical Review Letters, 126(114501), 6.
Oza, Anand U., & Pucci, Giuseppe, & Ho, Ian, & Harris, Daniel M (2023). Theoretical modeling of capillary surfer interactions on a vibrating fluid bath. Physical Review Fluids, 8(114011),
Ho, Ian, & Pucci, Giuseppe, & Oza, Anand U., & Harris, Daniel M (2023). Capillary surfers: wave-driven particles at a fluid interface. Physical Review Fluids, 8(L112011),
Baddoo, Peter J, & Moore, Nicholas J, & Oza, Anand U., & Crowdy, Darren G (2023). Generalization of waving-plate theory to multiple interacting swimmers. Communications on Pure and Applied Mathematics, 76(12), 3811-3851.
Nguyen, Quynh , & Oza, Anand U., & Abouezzi, Joanna , & Sun, Guanhua, & Childress, Stephen , & Frederick, Christina A., & Ristroph, Leif (2021). Flow rectification in loopy network models of bird lungs. Physical Review Letters, 126(114501), 6.
SHOW MORE
Oza, Anand U., & Venerus, David C. (2021). The dynamics of parallel-plate and cone-plate flows. Physics of Fluids, 33(023102), 13.
Bush, John W. M., & Oza, Anand U. (2020). Hydrodynamic Quantum Analogs. Reports on Progress in Physics, 84(017001), 1-41.
Barnes, Lauren (2020). Resonant interactions in bouncing droplet chains. Comptes Rendus Mecanique, 349(6-7), 573-589.
Oza, Anand U., & Ristroph, Leif, & Shelley, Michael J. (2019). Lattices of hydrodynamically interacting flapping swimmers. Physical Review X, 9(041024),
Oza, Anand U., & Rosales, Rodolfo R, & Bush, John W M (2018). Hydrodynamic spin states. Chaos: An Interdisciplinary Journal of Nonlinear Science, 28(096106 ), 6.
Ganedi, Likhit, & Oza, Anand U., & Shelley, Michael, & Ristroph, Leif (2018). Equilibrium shapes and their stability for liquid films in fast flows. Physical Review Letters, 121(094501), 4.
Arbelaiz, Juncal, & Oza, Anand U., & Bush, John (2018). Promenading pairs of walking droplets: Dynamics and stability. Physical Review Fluids, 3(1)(013604), 18.
Kurianski, Kristin M, & Oza, Anand U., & Bush, John (2017). Simulations of pilot-wave dynamics in a simple harmonic potential. Physical Review Fluids, 2(11)(113602), 14.
Oza, Anand U., & Siefert, Emmanuel, & Harris, Daniel M, & Molacek, Jan, & Bush, John (2017). Orbiting pairs of walking droplets: Dynamics and stability. Physical Review Fluids, 2(5)(053601), 19.
Ramananarivo, Sophie, & Fang, Fang, & Oza, Anand U., & Zhang, Jun, & Ristroph, Leif (2016). Flow interactions lead to orderly formations of flapping wings in forward flight. Physical Review Fluids (Rapid Communications), 1(071201(R)), 9.
Oza, Anand U., & Heidenreich, Sebastian, & Dunkel, Jorn (2016). Generalized Swift-Hohenberg models for dense active suspensions . European Physical Journal E, 39(97), 8.
Tambasco, Lucas D, & Harris, Daniel M, & Oza, Anand U., & Rosales, Rodolfo R, & Bush, John (2016). The onset of chaos in orbital pilot-wave dynamics. Chaos, 26(103107), 10.
Oza, Anand U., & Dunkel, Jorn (2016). Antipolar ordering of topological defects in active liquid crystals. New Journal of Physics, 18(093006), 12.
Labousse, Matthieu, & Oza, Anand U., & Perrard, Stephane, & Bush, John (2016). Pilot-wave dynamics in a harmonic potential: Quantization and stability of circular orbits. Physical Review E, 93(033122), 6.
Bush, John, & Oza, Anand U., & Molacek, Jan (2014). The wave-induced added mass of walking droplets. Journal of Fluid Mechanics (Rapids), 755(R7), 11.
Oza, Anand U., & Wind-Willassen, Oistein, & Harris, Daniel M, & Rosales, Rodolfo R, & Bush, John (2014). Pilot-wave hydrodynamics in a rotating frame: Exotic orbits . Physics of Fluids, 26(082101), 17.
Oza, Anand U., & Harris, Daniel M, & Rosales, Rodolfo R, & Bush, John (2014). Pilot-wave dynamics in a rotating frame: on the emergence of orbital quantization. Journal of Fluid Mechanics, 744, 404-429.
Oza, Anand U., & Rosales, Rodolfo R, & Bush, John (2013). A trajectory equation for walking droplets: hydrodynamic pilot-wave theory. Journal of Fluid Mechanics, 737, 552-570.
Oza, Anand U., & Pechen, Alexander, & Dominy, Jason, & Beltrani, Vincent, & Moore, Katharine, & Rabitz, Herschel (2009). Optimization search effort over the control landscapes for open quantum systems with Kraus-map evolution. Journal of Physics A: Mathematical and Theoretical/IOP Publishing, 42(20), 22.
Kalogerakis, Konstantinos S, & Marschall, Jochen, & Oza, Anand U., & Engel, Patricia A, & Meharchand, Rhiannon T, & Wong, Michael H (2008). The coating hypothesis for ammonia ice particles in Jupiter: laboratory experiments and optical modeling. Icarus/Elsevier, 196(1), 202-215.
Bush, John W. M., & Oza, Anand U. (2020). Hydrodynamic Quantum Analogs. Reports on Progress in Physics, 84(017001), 1-41.
Barnes, Lauren (2020). Resonant interactions in bouncing droplet chains. Comptes Rendus Mecanique, 349(6-7), 573-589.
Oza, Anand U., & Ristroph, Leif, & Shelley, Michael J. (2019). Lattices of hydrodynamically interacting flapping swimmers. Physical Review X, 9(041024),
Oza, Anand U., & Rosales, Rodolfo R, & Bush, John W M (2018). Hydrodynamic spin states. Chaos: An Interdisciplinary Journal of Nonlinear Science, 28(096106 ), 6.
Ganedi, Likhit, & Oza, Anand U., & Shelley, Michael, & Ristroph, Leif (2018). Equilibrium shapes and their stability for liquid films in fast flows. Physical Review Letters, 121(094501), 4.
Arbelaiz, Juncal, & Oza, Anand U., & Bush, John (2018). Promenading pairs of walking droplets: Dynamics and stability. Physical Review Fluids, 3(1)(013604), 18.
Kurianski, Kristin M, & Oza, Anand U., & Bush, John (2017). Simulations of pilot-wave dynamics in a simple harmonic potential. Physical Review Fluids, 2(11)(113602), 14.
Oza, Anand U., & Siefert, Emmanuel, & Harris, Daniel M, & Molacek, Jan, & Bush, John (2017). Orbiting pairs of walking droplets: Dynamics and stability. Physical Review Fluids, 2(5)(053601), 19.
Ramananarivo, Sophie, & Fang, Fang, & Oza, Anand U., & Zhang, Jun, & Ristroph, Leif (2016). Flow interactions lead to orderly formations of flapping wings in forward flight. Physical Review Fluids (Rapid Communications), 1(071201(R)), 9.
Oza, Anand U., & Heidenreich, Sebastian, & Dunkel, Jorn (2016). Generalized Swift-Hohenberg models for dense active suspensions . European Physical Journal E, 39(97), 8.
Tambasco, Lucas D, & Harris, Daniel M, & Oza, Anand U., & Rosales, Rodolfo R, & Bush, John (2016). The onset of chaos in orbital pilot-wave dynamics. Chaos, 26(103107), 10.
Oza, Anand U., & Dunkel, Jorn (2016). Antipolar ordering of topological defects in active liquid crystals. New Journal of Physics, 18(093006), 12.
Labousse, Matthieu, & Oza, Anand U., & Perrard, Stephane, & Bush, John (2016). Pilot-wave dynamics in a harmonic potential: Quantization and stability of circular orbits. Physical Review E, 93(033122), 6.
Bush, John, & Oza, Anand U., & Molacek, Jan (2014). The wave-induced added mass of walking droplets. Journal of Fluid Mechanics (Rapids), 755(R7), 11.
Oza, Anand U., & Wind-Willassen, Oistein, & Harris, Daniel M, & Rosales, Rodolfo R, & Bush, John (2014). Pilot-wave hydrodynamics in a rotating frame: Exotic orbits . Physics of Fluids, 26(082101), 17.
Oza, Anand U., & Harris, Daniel M, & Rosales, Rodolfo R, & Bush, John (2014). Pilot-wave dynamics in a rotating frame: on the emergence of orbital quantization. Journal of Fluid Mechanics, 744, 404-429.
Oza, Anand U., & Rosales, Rodolfo R, & Bush, John (2013). A trajectory equation for walking droplets: hydrodynamic pilot-wave theory. Journal of Fluid Mechanics, 737, 552-570.
Oza, Anand U., & Pechen, Alexander, & Dominy, Jason, & Beltrani, Vincent, & Moore, Katharine, & Rabitz, Herschel (2009). Optimization search effort over the control landscapes for open quantum systems with Kraus-map evolution. Journal of Physics A: Mathematical and Theoretical/IOP Publishing, 42(20), 22.
Kalogerakis, Konstantinos S, & Marschall, Jochen, & Oza, Anand U., & Engel, Patricia A, & Meharchand, Rhiannon T, & Wong, Michael H (2008). The coating hypothesis for ammonia ice particles in Jupiter: laboratory experiments and optical modeling. Icarus/Elsevier, 196(1), 202-215.
COLLAPSE
Conference Abstract
On the stability of interacting flapping plates
American Physical Society, November 2023
The role of concentration-dependent viscosity on the dynamics of colloid-polymer mixtures
American Society for Gravitational and Space Research,
Data-driven continuum modeling of active nematics via sparse identification of nonlinear dynamics
American Physical Society,
Vortex sheet simulations of interacting flapping plates
American Physical Society,
Data-driven continuum modeling of active nematics via sparse identification of nonlinear dynamics
American Physical Society,
American Physical Society, November 2023
The role of concentration-dependent viscosity on the dynamics of colloid-polymer mixtures
American Society for Gravitational and Space Research,
Data-driven continuum modeling of active nematics via sparse identification of nonlinear dynamics
American Physical Society,
Vortex sheet simulations of interacting flapping plates
American Physical Society,
Data-driven continuum modeling of active nematics via sparse identification of nonlinear dynamics
American Physical Society,
SHOW MORE
Phase-field modeling of colloid-polymer mixtures in microgravity
American Physical Society,
Phase-Field Modeling of Colloid-Polymer Mixtures in Microgravity
American Physical Society, November 2021
Bound states of asynchronously flapping tandem wings
American Physical Society, November 2021
Exploring diffraction with a pilot-wave model
Bulletin of the American Physical Society: APS March Meeting 2021, March 2021
Resonance, instability and dynamical stabilization in bouncing droplet chains
American Physical Society, November 2020
Schooling of tandem flapping wings
American Physical Society, November 2020
Emergent circulation in the loopy network of bird lungs
Bulletin of the American Physical Society: 73rd Annual Meeting of the APS Division of Fluid Dynamics, November 2020
Schooling of tandem flapping wings
Bulletin of the American Physical Society: 73rd Annual Meeting of the APS Division of Fluid Dynamics, November 2020
Exact solutions for the unsteady motion of multiple wings in an inviscid fluid
Bulletin of the American Physical Society: 73rd Annual Meeting of the APS Division of Fluid Dynamics, November 2020
Resonance, Instability and Dynamical Stabilization in Bouncing Droplet Chains
Bulletin of the American Physical Society: 73rd Annual Meeting of the APS Division of Fluid Dynamics, November 2020
Modelling of colloid-polymer mixtures in microgravity
American Society for Gravitational and Space Research, November 2020
Continuum modeling of colloid-polymer mixtures in microgravity
Bulletin of the American Physical Society: American Physical Society March Meeting 2020, March 2-6, Denver, CO, March 2020
American Physical Society,
Phase-Field Modeling of Colloid-Polymer Mixtures in Microgravity
American Physical Society, November 2021
Bound states of asynchronously flapping tandem wings
American Physical Society, November 2021
Exploring diffraction with a pilot-wave model
Bulletin of the American Physical Society: APS March Meeting 2021, March 2021
Resonance, instability and dynamical stabilization in bouncing droplet chains
American Physical Society, November 2020
Schooling of tandem flapping wings
American Physical Society, November 2020
Emergent circulation in the loopy network of bird lungs
Bulletin of the American Physical Society: 73rd Annual Meeting of the APS Division of Fluid Dynamics, November 2020
Schooling of tandem flapping wings
Bulletin of the American Physical Society: 73rd Annual Meeting of the APS Division of Fluid Dynamics, November 2020
Exact solutions for the unsteady motion of multiple wings in an inviscid fluid
Bulletin of the American Physical Society: 73rd Annual Meeting of the APS Division of Fluid Dynamics, November 2020
Resonance, Instability and Dynamical Stabilization in Bouncing Droplet Chains
Bulletin of the American Physical Society: 73rd Annual Meeting of the APS Division of Fluid Dynamics, November 2020
Modelling of colloid-polymer mixtures in microgravity
American Society for Gravitational and Space Research, November 2020
Continuum modeling of colloid-polymer mixtures in microgravity
Bulletin of the American Physical Society: American Physical Society March Meeting 2020, March 2-6, Denver, CO, March 2020
COLLAPSE
Newsletter
The Loopy Fluid Dynamics of Bird Lungs
Society for Industrial and Applied Mathematics, September 2021
Society for Industrial and Applied Mathematics, September 2021