## Abstract In this paper a nonโlinear system of equations magnified image in a oneโdimensional 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.
Local C1 solutions to some non-linear PDE system
โ Scribed by Emanuele Callegari; Marina Ghisi
- Publisher
- John Wiley and Sons
- Year
- 2006
- Tongue
- English
- Weight
- 134 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.714
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โฆ Synopsis
Abstract
We prove that the quasilinear initial value problem
equation image
has a unique, local in time, C^1^ solution, if the matrices A~i~ are diagonalizable and commute with each other. Copyright ยฉ 2006 John Wiley & Sons, Ltd.
๐ SIMILAR VOLUMES
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