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Existence of solutions to some non-linear thermoelastic systems with viscosity

โœ Scribed by K.-H. Hoffmann; A. Zochowski

Publisher
John Wiley and Sons
Year
1992
Tongue
English
Weight
591 KB
Volume
15
Category
Article
ISSN
0170-4214

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โœฆ Synopsis

Abstract

In this paper a nonโ€linear system of equations
magnified image
in a oneโ€dimensional domain is considered, where both the viscosity, v, and R are positive. The existence of solutions in the case of Neumann boundary conditions for ฮธ and a polynomial form of p(ฮธ, ฯต) is proved. When ฮธ satisfies the Dirichlet boundary condition, the existence of solutions is obtained under additional assumptions limiting the growth of p(ฮธ, ฯต) with respect to ฮธ. In both cases the uniqueness of the solutions is also established.

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