Nonlinearity

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  Publication Venue For

  • 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.  32:2392-2412. 2019
  • The profile of chiral skyrmions of large radius 2019
  • The profile of chiral skyrmions of small radius 2019
  • Suppression of blow-up in parabolic-parabolic Patlak-Keller-Segel via strictly monotone shear flows.  31:3651-3688. 2018
  • Surface tension effects for particle settling and resuspension in viscous thin films.  31. 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
  • Regularity of invariant densities for 1D systems with random switching.  28:3755-3787. 2015
  • A practical criterion for positivity of transition densities.  28:2823-2845. 2015
  • 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
  • A mathematical model for the spread of morphogens with density dependent chemosensitivity.  18:2745-2773. 2005
  • 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