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Time-dependent rescalings and Lyapunov functionals for some kinetic and fluid models

Dolbeault, Jean (2000), Time-dependent rescalings and Lyapunov functionals for some kinetic and fluid models, Transport Theory and Statistical Physics, 29, 3 et 5, p. 537-549. http://dx.doi.org/10.1080/00411450008205890

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Type
Article accepté pour publication ou publié
Date
2000
Journal name
Transport Theory and Statistical Physics
Volume
29
Number
3 et 5
Publisher
Taylor & Francis
Pages
537-549
Publication identifier
Metadata
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Author(s)
Dolbeault, Jean cc
Abstract (EN)
We apply the method of time-dependent rescalings which has been developed by G. Rein and the author to a model kinetic equation, to the Euler equations for a perfect polytropic gas and to a model with friction and heat transfer. We build Lyapunov functionals which are in the case of the fluid models improved versions of the estimates which have been found by J.-Y. Chemin and D. Serre (see [2], [14]).
Subjects / Keywords
Lyapunov functional; Euler equations; time-dependent rescaling; Kinetic equations