Publications and Preprints

• Self-generating lower bounds and continuation for the Boltzmann equation (with C. Henderson and S. Snelson), preprint, submitted to Calculus of Variations and Partial Differential Equations.
• Local Solutions of the Landau Equation with Rough, Slowly Decaying Initial Data (with C. Henderson and S. Snelson), accepted in Annales de l'Institut Henri Poincare C (Analyse non lineaire), (2020) 32 pp.
• 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, 41 pp.
• 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).