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 language | English |
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Pages (from-to) | 571-587 |
Number of pages | 17 |
Journal | Journal of Elliptic and Parabolic Equations |
Volume | 7 |
Issue number | 2 |
DOIs | |
Publication status | Published - 2021 Dec |
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