• Title of article

    Compactness for nonlinear continuity equations

  • Author/Authors

    Fethi Ben Belgacem، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2013
  • Pages
    30
  • From page
    139
  • To page
    168
  • Abstract
    We prove compactness and hence existence for solutions to a class of nonlinear transport equations. The corresponding models combine the features of linear transport equations and scalar conservation laws. We introduce a new method which gives quantitative compactness estimates compatible with both frameworks. © 2012 Elsevier Inc. All rights reserved.
  • Keywords
    Renormalized solutions , Transport equations , Stability estimates , Multilinear singular integrals
  • Journal title
    Journal of Functional Analysis
  • Serial Year
    2013
  • Journal title
    Journal of Functional Analysis
  • Record number

    840906