Solution of convex conservation laws in a strip

Joseph, K. T. ; Veerappa Gowda, G. D. (1992) Solution of convex conservation laws in a strip Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 102 (1). pp. 29-47. ISSN 0253-4142

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Official URL: http://doi.org/10.1007/BF02837177

Related URL: http://dx.doi.org/10.1007/BF02837177

Abstract

In this paper we consider scalar convex conservation laws in one space variable in a stripD =(x, t): 0 ≤x ≤1,t > 0 and obtain an explicit formula for the solution of the mixed initial boundary value problem, the boundary data being prescribed in the sense of Bardos-Leroux and Nedelec. We also get an explicit formula for the solution of weighted Burgers equation in a strip.

Item Type:Article
Source:Copyright of this article belongs to Indian Academy of Sciences.
Keywords:Conservation Laws; Boundary Value Problem; Explicit Formula.
ID Code:119747
Deposited On:16 Jun 2021 13:55
Last Modified:16 Jun 2021 13:55

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