Regularization of convex variational problems with applications to generalized Newtonian fluids

被引：0

作者：

Bildhauer, M ^{[1
]}

Fuchs, M ^{[1
]}

机构：

[1] Univ Saarland, D-66041 Saarbrucken, Germany

来源：

ARCHIV DER MATHEMATIK | 2005年 / 84卷 / 02期

关键词：

76M30; 49N;

D O I：

10.1007/s00013-004-1221-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study variational problems with convex integrands of very general structure by introducing certain regularizations leading to particular minimizers. In a second part we apply the method to stationary generalized Newtonian fluids which gives the existence of solutions under weak hypotheses on the dissipative potential. In particular the potential is not required to be a strictly convex function.

引用

页码：155 / 170

页数：16

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