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Solutions in the large for certain nonlinear parabolic equations and applications*
Published online by Cambridge University Press: 14 November 2011
Abstract
We prove some results on the global existence of smooth solutions for certain nonlinear parabolic systems of the form Ut + A(U)Ux = DUxx. Here U is a vector and A(U), D are matrices with D a constant, positive matrix. We show how to use our results to study the global continuous (or generalised) solutions to the corresponding nonlinear hyperbolic conservation laws and a conjecture is given.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 126 , Issue 1 , 1996 , pp. 19 - 45
- Copyright
- Copyright © Royal Society of Edinburgh 1996
References
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