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On a Limit of Perturbed Conservation Laws with Diffusion and Non-Positive Dispersion

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Bibliographic Details
Summary: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.
Main Authors:Bedjaoui, Nabil
Other Authors:Correia, Joaquim M.C.; Mammeri, Youcef
Subject:diffusion dispersion KdV equation Burgers’ equation hyperbolic conservation laws entropy measure-valued solutions
Year:2017
Country:Portugal
Document type:article
Access type:embargoed access
Associated institution:Universidade de Évora
Language:English
Origin:Repositório Científico da Universidade de Évora
Description
Summary: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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