The incompressible limit of solutions of the two-dimensional compressible Euler system with degenerating initial data

Alexandre Dutrifoy, Taoufik Hmidi

Research output: Contribution to journalArticlepeer-review

Abstract

Using Strichartz estimates, it is possible to pass to the limit in the weakly compressible 2-D Euler system, when the Mach number E tends to zero, even if the initial data are not uniformly smooth. This leads to results of convergence to solutions of the incompressible Euler system whose regularity is critical, such as vortex patches or Yudovich solutions.

Original languageEnglish (US)
Pages (from-to)471-474
Number of pages4
JournalComptes Rendus Mathematique
Volume336
Issue number6
DOIs
StatePublished - Mar 15 2003

ASJC Scopus subject areas

  • Mathematics(all)

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