Diffusive approximations for a class of nonlinear parabolic equations

被引：0

作者：

R. Cavazzoni

机构：

来源：

Nonlinear Differential Equations and Applications NoDEA | 2005年 / 12卷

关键词：

35K65; 35F25; 35L60; Hyperbolic and parabolic nonlinear equations; degenerate parabolic problems; singular perturbation problems; BGK models;

D O I：

暂无

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学科分类号：

摘要：

We study a class of discrete velocity type approximations to nonlinear parabolic equations with source. After proving existence results and estimates on the solution to the relaxation system, we pass into the limit towards a weak solution, which is the unique entropy solution if the coefficients of the parabolic equation are constant.

引用

页码：275 / 293

页数：18

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