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On the well-posedness of entropy solutions to conservation laws with a zero-flux boundary condition |
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| Authors: | Raimund Bürger Hermano Frid Kenneth H Karlsen |
| Institution: | a Departamento de Ingeniería Matemática, Facultad de Ciencias Físicas y Matemáticas, Universidad de Concepción, Casilla 160-C, Concepción, Chile b Instituto de Matemática Pura e Aplicada (IMPA), Estrada Dona Castorina 110, Jardim Botânico, CEP 22460-320, Rio de Janeiro, RJ, Brazil c Centre of Mathematics for Applications (CMA), Department of Mathematics, University of Oslo, PO Box 1053, Blindern, N-0316 Oslo, Norway |
| Abstract: | We study a zero-flux type initial-boundary value problem for scalar conservation laws with a genuinely nonlinear flux. We suggest a notion of entropy solution for this problem and prove its well-posedness. The asymptotic behavior of entropy solutions is also discussed. |
| Keywords: | Conservation law Well-posedness Entropy solution Zero-flux boundary condition |
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