CROSS-DIFFUSION SYSTEMS WITH ENTROPY STRUCTURE

被引：0

作者：

Juengel, Ansgar ^{[1
]}

机构：

[1] Vienna Univ Technol, Inst Anal & Sci Comp, Wiedner Hauptstr 8-10, A-1040 Vienna, Austria

来源：

PROCEEDINGS OF EQUADIFF 2017 CONFERENCE | 2017年

基金：

奥地利科学基金会;

关键词：

Strongly coupled parabolic systems; local existence of solutions; global existence of solutions; gradient flow; duality method; boundedness-by-entropy method; nonlinear Aubin-Lions lemma; Kullback-Leibler entropy; GLOBAL EXISTENCE; DIFFERENTIAL-EQUATIONS; MASS; DISSIPATION; UNIQUENESS; DUALITY; MODEL;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Some results on cross-diffusion systems with entropy structure are reviewed. The focus is on local-in-time existence results for general systems with normally elliptic diffusion operators, due to Amann, and global-in-time existence theorems by Lepoutre, Moussa, and co-workers for cross-diffusion systems with an additional Laplace structure. The boundedness-by-entropy method allows for global bounded weak solutions to certain diffusion systems. Furthermore, a partial result on the uniqueness of weak solutions is recalled, and some open problems are presented.

引用

页码：181 / 190

页数：10

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