Abstract
We construct (uniform) global classical solutions to the damped compressible Euler equations on the framework of general Besov spaces which includes both the usual Sobolev spaces Hs(Rd) (s>1+d/2) and the critical Besov space B2,11+d/2(Rd). Such extension heavily depends on a revision of commutator estimates and an elementary fact that indicates the connection between homogeneous and inhomogeneous Chemin-Lerner spaces. Furthermore, we obtain the diffusive relaxation limit of Euler equations towards the porous medium equation, by means of Aubin-Lions compactness argument.
Original language | English |
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Pages (from-to) | 771-796 |
Number of pages | 26 |
Journal | Journal of Differential Equations |
Volume | 256 |
Issue number | 2 |
DOIs | |
Publication status | Published - 2014 Jan 15 |
Externally published | Yes |
Keywords
- Chemin-Lerner spaces
- Compressible Euler equations
- Diffusive relaxation
ASJC Scopus subject areas
- Analysis
- Applied Mathematics