Papers by Subject

Kinetic Theory

• Global regularity and decay estimates for the relativistic Landau equation (with C. Henderson, A. Tarfulea, and M. Tasković)
  Submitted for publication.

• Existence of smooth solutions to the Landau equation with hard potentials and irregular initial data (with S. A. Taylor)
  Submitted for publication.

• A continuation criterion for the Landau equation with very soft and Coulomb potentials (with C. Solomon)
  Submitted for publication.

• Decay estimates and continuation for the non-cutoff Boltzmann equation (with C. Henderson and A. Tarfulea)
  Mathematische Annalen, to appear.

• Classical solutions of the Boltzmann equation with irregular initial data (with C. Henderson and A. Tarfulea)
  Annales Scientifiques de l'École Normale Supérieure 58(1), 107--201, 2025.

• Global existence for an isotropic modification of the Boltzmann equation
  Journal of Functional Analysis 286(12), Paper No. 110423, 2024.

• Solutions to the non-cutoff Boltzmann equation uniformly near a Maxwellian (with L. Silvestre)
  Mathematics in Engineering 5(2) 1–36, 2023.

• Non-existence of some approximately self-similar singularities for the Landau, Vlasov-Poisson-Landau, and Boltzmann equations (with J. Bedrossian and M. P.  Gualdani)
  Transactions of the AMS 375(3) 2187–2216, 2022.

• C∞ smoothing for weak solutions of the inhomogeneous Landau equation (with C. Henderson)
  Archive for Rational Mechanics and Analysis 236(1) 113–143, 2020.

• Local solutions of the Landau equation with rough, slowly decaying initial data (with C. Henderson and A. Tarfulea)
  Annales de l'Institut Henri Poincaré (C) Analyse Non Linéaire 37(6) 1345–1377, 2020.

• Gaussian bounds for the inhomogeneous Landau equation with hard potentials
  SIAM Journal on Mathematical Analysis 52(2) 2081–2097, 2020.

• Self-generating lower bounds and continuation for the Boltzmann equation (with C. Henderson and A. Tarfulea)
  Calculus of Variations and PDE 59(6), Paper No. 191, 2020.

• Local well-posedness of the Boltzmann equation with polynomially decaying initial data (with C. Henderson and A. Tarfulea)
  Kinetic & Related Models 13(4) 837–867, 2020.

• Velocity decay estimates for Boltzmann equation with hard potentials (with S. Cameron)
  Nonlinearity 33(6) 2941–2959, 2020.

• Local existence, lower mass bounds, and a new continuation criterion for the Landau equation (with C. Henderson and A. Tarfulea)
  Journal of Differential Equations 266(2–3) 1536–1577, 2019.

• Global a priori estimates for the inhomogeneous Landau equation with moderately soft potentials (with S. Cameron and L. Silvestre)
  Annales de l'Institut Henri Poincaré (C) Analyse Non Linéaire 35(3) 625–642, 2018.

Shape Optimization and Free Boundary Problems

• Regularity and nondegeneracy for nonlocal Bernoulli problems with variable kernels (with E. Teixeira)
  Transactions of the AMS, 378(6), 4109--4127, 2025.

• On the Bernoulli problem with unbounded jumps (with E. Teixeira)
  Calculus of Variations and PDE 63, Paper No. 222, 2024.

• Optimal domains for elliptic eigenvalue problems with rough coefficients (with E. Teixeira)
  SIAM Journal on Mathematical Analysis 56(3) 3412--3429, 2024.

• Regularity and long-time behavior of nonlocal heat flows
  Calculus of Variations and PDE 54(2) 1705–1723, 2015.

Nonlinear Waves

• Existence and stability of near-constant solutions of variable-coefficient scalar-field equations (with M. Alammari)
  PDE and Applications 6, Paper No. 2, 2025.

• Linear and orbital stability analysis for solitary-wave solutions of variable-coefficient scalar field equations (with M. Alammari)
  Journal of Hyperbolic Differential Equations 19(1) 175–201, 2022.

• Asymptotic stability for odd perturbations of the the stationary kink in the variable-speed φ4 model
  Transactions of the AMS 370(10) 7437–7460, 2018.

• Linear stability of the Skyrmion (with M. Creek, R. Donninger, and W. Schlag)
  International Mathematics Research Notices 2017(8) 2497–2537, 2017.

Miscellaneous 

• An integro-differential equation without continuous solutions (with L. Silvestre)
  Mathematical Research Letters 24(4) 1157–1166, 2016.

• Matrix probing: a randomized preconditioner for the wave-equation Hessian (with L. Demanet, P.D. Létourneau, N. Boumal, H. Calandra, and J. Chiu)
  Applied and Computational Harmonic Analysis 32(2) 155–168, 2012.