
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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Article accepté pour publication ou publiéDate
2000Journal name
Transport Theory and Statistical PhysicsVolume
29Number
3 et 5Publisher
Taylor & Francis
Pages
537-549
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Show full item recordAbstract (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 equationsRelated items
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