On a Limit of Perturbed Conservation Laws with Diffusion and Non-Positive Dispersion
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2016 International Press, Commun. Math. Sci., Vol. 14, No. 6, pp. 1501-1516, ISSN: 1539-6746
Abstract
We consider a conservation law perturbed by a linear diffusion and a general form of non-positive dispersion. We prove the convergence of the corresponding solution to the entropy weak solution of the hyperbolic conservation law.
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Citation
Nabil Bedjaoui, Joaquim M.C. Correia, Youcef Mammeri; On a limit of perturbed conservation laws with diffusion and non-positive dispersion, Commun. Math. Sci. (2016), Vol. 14, No. 6, pp. 1501-1516, ISSN: 1539-6746