Institute for Mathematical Physics Time{dependent Rescalings and Lyapunov Functionals for Some Kinetic and Fluid Models Time-dependent Rescalings and Lyapunov Functionals for Some Kinetic and Uid Models

نویسنده

  • Jean Dolbeault
چکیده

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 uid models improved versions of the estimates which have been found by J.-Y. Chemin and D. Serre (see 2], 14]).

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Time-dependent Rescalings and Lyapunov Functionals for Some Kinetic and Uid Models

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 uid models improved versions of the estimates which have been found by J.-Y. Chemin and D. Serre (see 2], 14]).

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تاریخ انتشار 2009