Incompressible limit for the two-dimensional isentropic Euler system with critical initial data

Taoufik Hmidi, Samira Sulaiman

Research output: Contribution to journalArticlepeer-review

Abstract

We study the low-Mach-number limit for the two-dimensional isentropic Euler system with ill-prepared initial data belonging to the critical Besov space. By combining Strichartz estimates with the special structure of the vorticity, we prove that the lifespan of the solutions goes to infinity as the Mach number goes to zero. We also prove strong convergence results of the incompressible parts to the solution of the incompressible Euler system.

Original languageEnglish (US)
Pages (from-to)1127-1154
Number of pages28
JournalProceedings of the Royal Society of Edinburgh Section A: Mathematics
Volume144
Issue number6
DOIs
StatePublished - Dec 1 2014

ASJC Scopus subject areas

  • Mathematics(all)

Fingerprint Dive into the research topics of 'Incompressible limit for the two-dimensional isentropic Euler system with critical initial data'. Together they form a unique fingerprint.

Cite this