Diffusion Limits for the Initial-boundary Value Problem of the Goldstein-taylor Model
نویسنده
چکیده
In the paper is studied, in the diiusive scaling, the limiting behaviour of the Goldstein-Taylor model in a box, for a large class of initial and boundary conditions. It is shown that, in the limit, the evolution of the mass density is governed by the heat equation, with initial conditions depending only on the initial data of the hyperbolic system, and conditions on the boundary depending only on the ones of the kinetic model.
منابع مشابه
F. Salvarani DIFFUSION LIMITS FOR THE INITIAL-BOUNDARY VALUE PROBLEM OF THE GOLDSTEIN-TAYLOR MODEL
Sommario. In the paper is studied, in the diffusive scaling, the limiting behaviour of the Goldstein-Taylor model in a box, for a large class of initial and boundary conditions. It is shown that, in the limit, the evolution of the mass density is governed by the heat equation, with initial conditions depending only on the initial data of the hyperbolic system, and conditions on the boundary dep...
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تاریخ انتشار 2007