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2009 Smooth Approximations of Global in Time Solutions to Scalar Conservation Laws
V. G. Danilov, D. Mitrovic
Abstr. Appl. Anal. 2009: 1-26 (2009). DOI: 10.1155/2009/350762

Abstract

We construct global smooth approximate solution to a scalar conservation law with arbitrary smooth monotonic initial data. Different kinds of singularities interactions which arise during the evolution of the initial data are described as well. In order to solve the problem, we use and further develop the weak asymptotic method, recently introduced technique for investigating nonlinear waves interactions.

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V. G. Danilov. D. Mitrovic. "Smooth Approximations of Global in Time Solutions to Scalar Conservation Laws." Abstr. Appl. Anal. 2009 1 - 26, 2009. https://doi.org/10.1155/2009/350762

Information

Published: 2009
First available in Project Euclid: 16 March 2010

zbMATH: 1172.35450
MathSciNet: MR2485639
Digital Object Identifier: 10.1155/2009/350762

Rights: Copyright © 2009 Hindawi

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