Relative entropy in diffusive relaxation

Corrado Lattanzio, Athanasios Tzavaras

Research output: Contribution to journalArticlepeer-review

29 Scopus citations

Abstract

We establish convergence in the diffusive limit from entropy weak solutions of the equations of compressible gas dynamics with friction to the porous media equation away from vacuum. The result is based on a Lyapunov type of functional provided by a calculation of the relative entropy. The relative entropy method is also employed to establish convergence from entropic weak solutions of viscoelasticity with memory to the system of viscoelasticity of the rate type.

Original languageEnglish (US)
Pages (from-to)1563-1584
Number of pages22
JournalSIAM Journal on Mathematical Analysis
Volume45
Issue number3
DOIs
StatePublished - Oct 4 2013

Keywords

  • Diffusive relaxation
  • Euler equations
  • Relative entropy

ASJC Scopus subject areas

  • Analysis
  • Computational Mathematics
  • Applied Mathematics

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