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Global Existence in Critical Spaces¶for Flows of Compressible¶Viscous and Heat-Conductive Gases
- Source :
- Archive for Rational Mechanics and Analysis; 20011001, Vol. 160 Issue: 1 p1-39, 39p
- Publication Year :
- 2001
-
Abstract
- Abstract: We are concerned with global existence and uniqueness of strong solutions for a general model of viscous and heat-conductive gases. The initial data are supposed to be close to a stable equilibrium with constant density and temperature. Using uniform estimates for the linearized system with a convection term, we get global well-posedness in a functional setting invariant with respect to the scaling of the associated equations (in space dimension N≧3). We also show a smoothing effect on the velocity and the temperature, and a decay on the difference between the density and the constant reference state. These results extend a previous paper devoted to the barotropic case (see [5]).
Details
- Language :
- English
- ISSN :
- 00039527 and 14320673
- Volume :
- 160
- Issue :
- 1
- Database :
- Supplemental Index
- Journal :
- Archive for Rational Mechanics and Analysis
- Publication Type :
- Periodical
- Accession number :
- ejs412400
- Full Text :
- https://doi.org/10.1007/s002050100155