Explicit solutions for a system of First-order partial differential equations

Joseph, Kayyunnapara Thomas (2008) Explicit solutions for a system of First-order partial differential equations Electronic Journal of Differential Equations, 2008 (157). pp. 1-8. ISSN 1072-6691

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Abstract

In this paper we construct explicit weak solutions of a system of two partial differential equations in the quarter plane {(x, t) : x > 0, t > 0} with initial conditions at t = 0 and a weak form of Dirichlet boundary conditions at x = 0. This system was first studied by LeFloch [9], where he constructed explicit formula for the weak solution of pure initial value problem.

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ID Code:83203
Deposited On:16 Feb 2012 12:15
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