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Title: On Vanishing dissipative-dispersive perturbations of hyperbolic conservation laws
Authors: Correia, Joaquim M.C.
Bedjaoui, Nabil
Mammeri, Youcef
Editors: Shitikova, Marina V.
Vladareanu, Luige
Guarnaccia, Claudio
Keywords: diffusion
KdV equation
Burgers’ equation
hyperbolic conservation laws
entropy measure-valued solutions
Issue Date: 2014
Publisher: WSEAS Press
Citation: Recent Advances in Mechanical Engineering Series 11, pp. 13-18, ISBN: 978-960-474-402-2
Abstract: In presence of linear diffusion and non-positive dispersion, we prove well-posedness of the nonlinear conservation equation u_t+f(u)_x=\eps u_xx -\del((u_xx)^2)_x. Then, as the right-hand perturbations vanish, we prove convergence of the previous solutions to the entropy weak solution of the hyperbolic conservation law u_t+f(u)_x=0.
ISBN: 978-960-474-402-2
ISSN: 2227-4596
Type: article
Appears in Collections:CIMA - Artigos em Livros de Actas/Proceedings

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