Geodesic
Partially dissipative systems in the critical regularity setting, and strong relaxation limit
Raphaël Danchin1
1Université Paris Est Creteil, CNRS, Créteil; Université Gustave Eiffel, Marne-la-Vallée, France
EMS surveys in mathematical sciences, Tome 9 (2022) no. 1, pp. 135-192

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DOI

Many physical phenomena may be modeled by first order hyperbolic equations with degenerate dissipative or diffusive terms. This is the case for example in gas dynamics, where the mass is conserved during the evolution, but the momentum balance includes a diffusion (viscosity) or damping (relaxation) term, or, in numerical simulations, of conservation laws by relaxation schemes.
DOI : 10.4171/emss/55
Classification : 35-XX, 76-XX
Mots-clés : Hyperbolic systems, critical regularity, relaxation limit, partially dissipative

Raphaël Danchin  1

1 Université Paris Est Creteil, CNRS, Créteil; Université Gustave Eiffel, Marne-la-Vallée, France 
Raphaël Danchin. Partially dissipative systems in the critical regularity setting, and strong relaxation limit. EMS surveys in mathematical sciences, Tome 9 (2022) no. 1, pp. 135-192. doi: 10.4171/emss/55
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     title = {Partially dissipative systems in the critical regularity setting, and strong relaxation limit},
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     year = {2022},
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     number = {1},
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     url = {http://geodesic.mathdoc.fr/articles/10.4171/emss/55/}
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