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Some recent methods for partial differential equations of divergence form
被引：0
作者：
Gui-Qiang Chen
机构：
[1] Northwestern University,Department of Mathematics
来源：
Bulletin of the Brazilian Mathematical Society
|
2003年
/
34卷
关键词：
Partial differential equations;
divergence form;
hyperbolic conservation laws;
degenerate parabolic-hyperbolic equations;
mixed elliptic-hyperbolic type;
entropy methods;
kinetic methods;
free boundary methods;
divergence-measure fields;
kinetic formulations;
free boundary iterations;
compensated compactness;
test function methods;
Primary: 00-02;
35A20;
35L65;
35M10;
35K65;
35L80;
35B05;
26B20;
28C05;
76H05;
35A35;
Secondary: 76S05;
76N15;
76L05;
35A30;
26B12;
35L67;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Some recent methods for solving second-order nonlinear
partial differential equations of divergence form and related
nonlinear problems are surveyed. These methods include entropy
methods via the theory of divergence-measure fields for
hyperbolic conservation laws, kinetic methods via kinetic
formulations for degenerate parabolichyperbolic equations, and
free-boundary methods via free-boundary iterations for
multidimensional transonic shocks for nonlinear equation of
mixed elliptic-hyperbolic type. Some recent trends in this
direction are also discussed.
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页码：107 / 144
页数：37
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