Anand U. Oza

I am interested in fluid mechanics and nonlinear dynamics, with applications to soft matter physics and biology. My research utilizes a combination of analytical techniques and numerical simulations, and I collaborate with experimentalists whenever possible. I am a part of the Complex Flows and Soft Matter (CFSM) Group.

CV

• Since Fall 2023: Associate Professor, Department of Mathematical Sciences, New Jersey Institute of Technology (NJIT)
• 2017-2023: Assistant Professor, Department of Mathematical Sciences, New Jersey Institute of Technology (NJIT)
• 2014-2017: NSF Mathematical Sciences Postdoctoral Fellow, Courant Institute of Mathematical Sciences, New York University
• 2014: PhD, Department of Mathematics, Massachusetts Institute of Technology (MIT)
  • Co-advised by John Bush and Ruben Rosales
  • Supported by NSF and Hertz Foundation Graduate Research Fellowships
• 2009: Master of Advanced Study (MASt), Department of Applied Mathematics and Theoretical Physics (DAMTP), University of Cambridge
  • Supported by Churchill scholarship
• 2008: Bachelor of Arts (A.B.), Chemistry / Applied & Computational Mathematics, Princeton University

Publications

• Exponential mixing in a hydrodynamic pilot-wave theory with singular potentials
  H. D. Nguyen & A. U. Oza
  Submitted, 2024

• On the stability of an in-line formation of hydrodynamically interacting flapping plates
  M. Nitsche, A. U. Oza and M. Siegel
  Submitted, 2024

• Single-particle diffraction with a hydrodynamic pilot-wave model
  G. Pucci, A. Bellaigue, A. Cirimele, G. Ali & A. U. Oza
  Submitted, 2024

• The invariant measure of a walking droplet in hydrodynamic pilot-wave theory
  H. D. Nguyen & A. U. Oza
  Nonlinearity, 37: 095009, 2024

• Theoretical modeling of capillary surfer interactions on a vibrating fluid bath
  A. U. Oza, G. Pucci, I. Ho & D. M. Harris
  Physical Review Fluids, 8: 114011, 2023
  Featured in Physics

• Capillary surfers: wave-driven particles at a fluid interface
  I. Ho, G. Pucci, A. U. Oza & D. M. Harris
  Physical Review Fluids, 8: L112011, 2023
  Selected as Editors' Suggestion, Featured in Physics, Highlighted in the bulletin of the Italian Physical Society

• Generalization of waving-plate theory to multiple interacting swimmers
  P. J. Baddoo, N. J. Moore, A. U. Oza & D. G. Crowdy
  Communications on Pure and Applied Mathematics, 76(12): 3811-3851, 2023

• Flow rectification in loopy network models of bird lungs
  Q. M. Nguyen, A. U. Oza, J. Abouezzi, G. Sun, S. Childress, C. Frederick & L. Ristroph
  Physical Review Letters, 126: 114501, 2021
  Movies: 1, 2, 3
  Selected as Editors' Suggestion, and see Focus story
  Press coverage: NYU, NJIT, NSF, SIAM

• The dynamics of parallel-plate and cone-plate flows
  A. U. Oza & D. C. Venerus
  Physics of Fluids, 33: 023102, 2021
  Selected as a Featured article

• Hydrodynamic quantum analogs
  J. W. M. Bush & A. U. Oza
  Reports on Progress in Physics, 84: 017001, 2020

• Resonant interactions in bouncing droplet chains
  L. Barnes, G. Pucci & A. U. Oza
  Comptes Rendus Mécanique, 348(6-7): 573-589, 2020

• Lattices of hydrodynamically interacting flapping swimmers
  A. U. Oza, L. Ristroph & M. J. Shelley
  Physical Review X, 9: 041024, 2019
  Movie
  Press coverage: NJIT, Phys.org, ScienceDaily, NYU, Fish Nerds podcast

• Equilibrium shapes and their stability for liquid films in fast flows
  L. Ganedi, A. U. Oza, M. Shelley & L. Ristroph
  Physical Review Letters, 121: 094501, 2018
  Movies: 1, 2
  Press coverage: NJIT, Phys.org, Ars Technica, ScienceDaily, DailyMail, New York Times

• Hydrodynamic spin states
  A. U. Oza, R. R. Rosales & J. W. M. Bush
  Chaos, 28: 096106, 2018

• Promenading pairs of walking droplets: Dynamics and stability
  J. Arbelaiz, A. U. Oza & J. W. M. Bush
  Physical Review Fluids, 3: 013604, 2018
  Movie

• Simulations of pilot-wave dynamics in a simple harmonic potential
  K. M. Kurianski, A. U. Oza & J. W. M. Bush
  Physical Review Fluids, 2: 113602, 2017

• Orbiting pairs of walking droplets: Dynamics and stability
  A. U. Oza, E. Siéfert, D. M. Harris, J. Moláček & J. W. M. Bush
  Physical Review Fluids, 2: 053601, 2017
  Movie
  Press coverage: APS Physics Central

• Flow interactions lead to orderly formations of flapping wings in forward flight
  S. Ramananarivo, F. Fang*, A. U. Oza*, J. Zhang & L. Ristroph
  Physical Review Fluids (Rapid Communications), 1: 071201(R), 2016
  Movie
  

• Generalized Swift-Hohenberg models for dense active suspensions
  A. U. Oza, S. Heidenreich & J. Dunkel
  European Physical Journal E, 39: 97, 2016
  Topical Collection: Nonequilibrium Collective Dynamics in Condensed and Biological Matter
  Movies: 1, 2
  

• Antipolar ordering of topological defects in active liquid crystals
  A. U. Oza & J. Dunkel
  New Journal of Physics, 18: 093006, 2016
  Movies: 1, 2
  

• The onset of chaos in orbital pilot-wave dynamics
  L. D. Tambasco, D. M. Harris, A. U. Oza, R. R. Rosales & J. W. M. Bush
  Chaos, 26:103107, 2016

• Pilot-wave dynamics in a harmonic potential: Quantization and stability of circular orbits
  M. Labousse, A. U. Oza, S. Perrard & J. W. M. Bush
  Physical Review E, 93: 033122, 2016

• The wave-induced added mass of walking droplets
  J. W. M. Bush, A. U. Oza & J. Moláček
  Journal of Fluid Mechanics (Rapids), 755: R7, 2014

• Pilot-wave hydrodynamics in a rotating frame: Exotic orbits
  A. U. Oza, Ø. Wind-Willassen, D. M. Harris, R. R. Rosales & J. W. M. Bush
  Physics of Fluids, 26: 082101, 2014

• Pilot-wave dynamics in a rotating frame: on the emergence of orbital quantization
  A. U. Oza, D. M. Harris, R. R. Rosales & J. W. M. Bush
  Journal of Fluid Mechanics, 744: 404-429, 2014

• A trajectory equation for walking droplets: hydrodynamic pilot-wave theory
  A. U. Oza, R. R. Rosales & J. W. M. Bush
  Journal of Fluid Mechanics, 737: 552-570, 2013
  Cover image

• Optimization search effort over the control landscapes for open quantum systems with Kraus-map evolution
  A. U. Oza, A. Pechen, V. Beltrani, K. Moore & H. Rabitz
  Journal of Physics A, 42: 205305, 2009

• The coating hypothesis for ammonia ice particles in Jupiter: laboratory experiments and optical modeling
  K. S. Kalogerakis, J. Marschall, A. U. Oza, P. A. Engel, R. T. Meharchand & M. H. Wong
  Icarus, 196(1): 202-215, 2008

Group

Current members

• José Pabón, PhD candidate, NJIT (co-advised with Prof. Michael Siegel, Fall 2020 - present)

Alumni

• Manal Desai, undergraduate, Albert Dorman Honors College, NJIT (Fall 2021 - 2022)

• Lauren Barnes, PhD student, NJIT (Summer 2018 - Summer 2023)
  Now tenure-track Assistant Professor at Iona University

• Connor Robertson, PhD student, NJIT (co-advised with Prof. Travis Askham, Fall 2019 - Spring 2023)
  Next at Sandia National Laboratories, postdoctoral fellow

• Manav Guzraty, undergraduate, NJIT (formerly through NSF GS-LSAMP program, Summer 2019 - Summer 2022)
  Next at Rutgers University New Brunswick, Masters in Mechanical and Aerospace Engineering

• Antoine Bellaigue, Masters, Université de Rennes 1 (co-advised with Dr. Giuseppe Pucci, Summer 2020)

• Sarah Jensen, undergraduate, Mathematical Biosciences Institute/NJIT REU (Summer 2019)
  Next at University of Buffalo, PhD in Biomedical Sciences

Teaching

NJIT

• Calculus I (MATH 111, undergraduate): Fall 2017

• Calculus IIIA (MATH 211, undergraduate): Spring 2021

• Linear Algebra (MATH 337, undergraduate): Fall 2019, Fall 2021

• Introduction to Partial Differential Equations (MATH 331, undergraduate): Spring 2022, Fall 2022, Fall 2023

• Advanced Applied Math II: Ordinary Differential Equations (MATH 689, graduate): Spring 2018, Spring 2019, Spring 2021, Spring 2024

• Advanced Applied Math III: Partial Differential Equations (MATH 690, graduate): Fall 2018, Fall 2019, Fall 2020, Fall 2021

• Active service modified duty (parental leave): Spring 2020, Spring 2023

Courant Institute

• Math for Economics II (MAT 212, undergraduate): Spring 2017

• Calculus II (MAT 122, undergraduate): Fall 2015, Spring 2016, Fall 2016

MIT

• Instructor, Computational Science and Engineering I (18.085, graduate): Summer 2014

• Recitation instructor, Complex Variables with Applications (18.04, undergraduate): Spring 2013