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Solution of convex conservation laws in a strip

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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.

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  1. TIFR Centre, Indian Institute of Science Campus, P.B. No. 1234, 560012, Bangalore, India

    K. T. Joseph & G. D. Veerappa Gowda

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  1. K. T. Joseph
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  2. G. D. Veerappa Gowda
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Joseph, K.T., Veerappa Gowda, G.D. Solution of convex conservation laws in a strip. Proc. Indian Acad. Sci. (Math. Sci.) 102, 29–47 (1992). https://doi.org/10.1007/BF02837177

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  • DOI: https://doi.org/10.1007/BF02837177

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