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

Tsukasa Iwabuchi, Takayoshi Ogawa

研究成果: Article査読

抄録

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.

本文言語English
ページ(範囲)571-587
ページ数17
ジャーナルJournal of Elliptic and Parabolic Equations
7
2
DOI
出版ステータスPublished - 2021 12

ASJC Scopus subject areas

  • 分析
  • 数値解析
  • 応用数学

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