On the Cauchy problem for nonlinear dissipative systems
β Scribed by E. I. Kaikina; P. I. Naumkin; I. A. Shishmarev
- Book ID
- 106434514
- Publisher
- Springer US
- Year
- 2007
- Tongue
- English
- Weight
- 163 KB
- Volume
- 142
- Category
- Article
- ISSN
- 1573-8795
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π SIMILAR VOLUMES
Let 0/R n be open, u : 0 Γ R m and thus the gradient matrix Du # R m\_n . We let E/R m\_n be compact and denote by RcoE and PcoE the rank one convex and polyconvex hull of E, respectively. We show that if RcoE=PcoE (and two other hypotheses, named the segment property and the extreme points property
The Cauchy problem is studied for a system of nonlinear partial differential equations for some dissipative flows in Lagrangian formulation including heat conduction, damping relaxation, and coupling to electric field. The well-posedness of smooth solutions is investigated. It is proved that, for ce