Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4609996 | Journal of Differential Equations | 2014 | 26 Pages |
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)Hs(Rd)(s>1+d/2)(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.
Keywords
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Physical Sciences and Engineering
Mathematics
Analysis
Authors
Jiang Xu, Shuichi Kawashima,