Ill-posedness for the Cauchy problem of the two-dimensional compressible Navier-Stokes equations for an ideal gas

Tsukasa Iwabuchi, Takayoshi Ogawa

Research output: Contribution to journalArticlepeer-review

Abstract

We study the ill-posedness issue for the compressible viscous heat-conductive flows in two dimensions. In the scaling invariant spaces, negative regularity of the temperature causes an essential problem for the well-posedness, and the ill-posedness is obtained for all integrability indices except for the L1 case.

Original languageEnglish
JournalJournal of Elliptic and Parabolic Equations
DOIs
Publication statusAccepted/In press - 2021

Keywords

  • Compressible Navier-Stokes equations
  • Critical Besov spaces
  • Discontinuity
  • Ideal gas
  • Ill-posedness
  • The Cauchy problem

ASJC Scopus subject areas

  • Analysis
  • Numerical Analysis
  • Applied Mathematics

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