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

• Author(s): Bedjaoui, Nabil ; Correia, Joaquim M.C. ; Mammeri, Youcef
• Date: 2017
• Persistent ID: http://hdl.handle.net/10174/20009
• Origin: Repositório Científico da Universidade de Évora
• Subject(s): diffusion; dispersion; KdV equation; Burgers’ equation; hyperbolic conservation laws; entropy measure-valued solutions
• Document Type: Journal article
• Language: English

Description

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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