Weak solutions to joined nonlinear systems of PDEs

被引：0

作者：

N. Bubner

W. Horner

J. Sokołowski

机构：

[1] Weierstrass Institute for Applied Analysis and Stochastics,

[2] Mohrenstrasse 39,undefined

[3] 10117 Berlin,undefined

[4] Germany,undefined

[5] California State University Northridge,undefined

[6] 18111 Nordhoff St.,undefined

[7] Northridge,undefined

[8] CA 91330 USA,undefined

[9] Institut Elie Cartan,undefined

[10] Laboratoire de Mathématiques,undefined

[11] Université Henri Poincaré Nancy I,undefined

[12] B.P. 239,undefined

[13] 54506 Vandoeuvre lès Nancy Cedex,undefined

[14] France,undefined

[15] and Systems Research Institute of the Polish Academy of Sciences,undefined

[16] ul. Newelska 6,undefined

[17] 01-447 Warszawa,undefined

[18] Poland,undefined

来源：

Zeitschrift für angewandte Mathematik und Physik ZAMP | 2001年 / 52卷

关键词：

Key words. Systems of nonlinear PDEs with discontinuous coefficients.;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We establish an existence and uniqueness result for a system which consists of a finite number of coupled nonlinear systems. In each system we have two highly nonlinearly coupled equations. Such problems arise if one couples thin rods of shape memory alloys, and each of the rods is described by Falk's Landau-Ginzburg model. The two equations in each system stand for the momentum and energy balance, respectively.

引用

页码：713 / 729

页数：16

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