ENTROPIES FOR RADIALLY SYMMETRIC HIGHER-ORDER NONLINEAR DIFFUSION EQUATIONS

被引：0
|
作者：
Bukal, Mario [1 ]
Juengel, Ansgar [1 ]
Matthes, Daniel [1 ]
机构：
[1] Vienna Univ Technol, Inst Anal & Sci Comp, A-1040 Vienna, Austria
来源：
COMMUNICATIONS IN MATHEMATICAL SCIENCES | 2011年 / 9卷 / 02期
基金：
奥地利科学基金会;
关键词：
Higher-order diffusion equations; thin-film equation; quantum diffusion model; polynomial decision problem; quantifier elimination; PARABOLIC EQUATION; FLUCTUATIONS; EXISTENCE; INTERFACE;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A previously developed algebraic approach to proving entropy production inequalities is extended to deal with radially symmetric solutions for a class of higher-order diffusion equations in multiple space dimensions. In application of the method, novel a priori estimates are derived for the thin-film equation, the fourth-order Derrida-Lebowitz-Speer-Spohn equation, and a sixth-order quantum diffusion equation.
引用
收藏
页码：353 / 382
页数：30
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