Velocity Averaging, Kinetic Formulations and Regularizing Effects in Quasilinear PDEs

Abstract

We prove new velocity averaging results for second-order multidimensional equations. In particular, we improve previous regularity statements for nonlinear conservation laws, and we derive completely new regularity results for convection-diffusion and elliptic equations driven by degenerate, non-isotropic diffusion.

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Document Details

Document Type
Technical Report
Publication Date
Oct 31, 2005
Accession Number
ADA448178

Entities

People

  • Eitan Tadmor
  • Terence Tao

Organizations

  • University of Maryland

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Applied Mathematics
  • Boltzmann Equation
  • Calculus Of Variations
  • Convection
  • Differential Equations
  • Diffusion
  • Distribution Functions
  • Equations
  • Fokker Planck Equations
  • Formulas (Mathematics)
  • Inequalities
  • Mathematics
  • Nonlinear Differential Equations
  • Partial Differential Equations
  • Truncation
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Plasma Physics / Magnetohydrodynamics