Nonlinearity

• 

  Publication Venue For

  • Existence and rigidity of the vectorial peierls-nabarro model for dislocations in high dimensions.  34:7778-7828. 2021
  • Finite-time singularity formation for an active scalar equation.  34:5045-5069. 2021
  • Synchronization of Kuramoto oscillators in dense networks.  33:5905-5918. 2020
  • Analysis of a continuum theory for broken bond crystal surface models with evaporation and deposition effects.  33:3816-3845. 2020
  • The profile of chiral skyrmions of small radius.  33:3395-3408. 2020
  • Energy equality for the Navier–Stokes equations in weak-in-time Onsager spaces.  33:1388-1403. 2020
  • Geometric ergodicity of Langevin dynamics with Coulomb interactions.  33:675-699. 2020
  • Well-posedness and derivative blow-up for a dispersionless regularized shallow water system.  32:4346-4376. 2019
  • Traveling domain walls in chiral ferromagnets 2018
  • Traveling waves in a nonlocal, piecewise linear reaction-diffusion population model.  30:3304-3331. 2017
  • A generalized Sz. Nagy inequality in higher dimensions and the critical thin film equation.  30:35-60. 2017
  • Lower bounds on the mix norm of passive scalars advected by incompressible enstrophy-constrained flows.  27:973-985. 2014
  • An exactly solvable model for nonlinear resonant scattering.  25:2473-2501. 2012
  • Global well-posedness for a slightly supercritical surface quasi-geostrophic equation.  25:1525-1535. 2012
  • Subcritical bifurcation in spatially extended systems.  25:761-779. 2012
  • Global regularity for the critical dispersive dissipative surface quasi-geostrophic equation.  23:549-554. 2010
  • A stochastic-Lagrangian particle system for the Navier-Stokes equations.  21:2537-2553. 2008
  • Dewetting films: Bifurcations and concentrations.  14:1569-1592. 2001
  • An upper bound for the bulk burning rate for systems.  14:1297-1310. 2001
  • Breathers in the weakly coupled topological discrete sine-Gordon system.  11:1651-1671. 1998