Preprints

• Traveling waves and well-posedness for a model of cell motility (with N. Meunier) in preparation.
• A priori bounds and decay for the relativistic Landau equation (with C. Henderson, S. Snelson, and M. Taskovic) in preparation.
• On the dynamics of a consensus-dissent model for popular opinion (with S. Snelson and A. Tosin) in preparation.
• Well-posedness for Hele-Shaw equation with surface tension (with T. Alazard and N. Meunier), in preparation.
• Decay estimates and continuation for the non-cutoff Boltzmann equation (with C. Henderson and S. Snelson), submitted; arXiv:2311.02235.

Publications

• Classical solutions of the Boltzmann equation with irregular initial data (with C. Henderson and S. Snelson), Annales de l’ENS, accepted; arXiv:2207.03497 (2023).
• Global existence of strong solution to non-isothermal ideal gas system (with B. Han and N.-A. Lai), Acta Mathematica Scientia, 44 (2024) 865-886.
• Positivity of temperature for some non-isothermal fluid models (with N.-A. Lai and C. Liu), Journal of Differential Equations, 339 (2022) 555-578.
• Self-generating lower bounds and continuation for the Boltzmann equation (with C. Henderson and S. Snelson), Calculus of Variations and Partial Differential Equations, 59 (2020) Art. 191.
• Local Solutions of the Landau Equation with Rough, Slowly Decaying Initial Data (with C. Henderson and S. Snelson), Annales de l'Institut Henri Poincare C (Analyse non lineaire), 37-6 (2020) 1345-1377.
• Local well-posedness of the Boltzmann equation with polynomially decaying initial data (with C. Henderson and S. Snelson), Kinetic and Related Models, 13 (2020), 837—867.
• Front propagation for nonlocal KPP reaction-diffusion equations in periodic media (with P.E. Souganidis), Nonlinear Differential Equations and Applications, 26 (2019) Art. 29.
• Improved a priori bounds for thermal fluid equations, Transactions of the AMS, 371 (2019) 2719—2737.
• Local existence, lower mass bounds, and a new continuation criterion for the Landau equation (with C. Henderson and S. Snelson) Journal of Differential Equations, 266 (2019) 1536—1577.
• Gradient estimates and symmetrization for Fisher-KPP front propagation with fractional diffusion (with J.-M. Roquejoffre) Journal de Mathématiques Pures et Appliquées, 108 (2017) 399—424.
• Long time dynamics of forced critical SQG (with P. Constantin and V. Vicol) Communications in Mathematical Physics, 335 (2015) 93—141.
• Absence of anomalous dissipation of energy in forced two dimensional fluid equations (with P. Constantin and V. Vicol) Archive for Rational Mechanics and Analysis, 212 (2014) 875—903.
• Alternating traps in Muller and parity games (with A. Grinshpun, P. Phalitnonkiat, and S. Rubin) Theoretical Computer Science, 521 (2014) 73—91.
• An Ihara formula for partially directed graphs (with R. Perlis) Linear Algebra and its Applications, 431 (2009) 73—85.
• A Study in the Asymptotic Behavior of Nonlinear Evolution Equations with Nonlocal Operators, PHD thesis, Princeton University (2015).