Weak solutions to joined nonlinear systems of PDEs

Authors
Bubner, N Horn, W Sokolowski, J
Citation
N. Bubner et al., Weak solutions to joined nonlinear systems of PDEs, Z ANG MATH, 52(5), 2001, pp. 713-729
Citations number
13
Categorie Soggetti
Mathematics
Journal title
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
ISSN journal
00442275 → ACNP
Volume
52
Issue
5
Year of publication
2001
Pages
713 - 729
Database
ISI
SICI code
0044-2275(200109)52:5<713:WSTJNS>2.0.ZU;2-9
Abstract
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 tw o 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 mo mentum and energy balance, respectively.