Please use this identifier to cite or link to this item: http://hdl.handle.net/10174/29164

 Title: On a limit of perturbed conservation laws with saturating diffusion and non-positive dispersion Authors: Bedjaoui, NabilCorreia, Joaquim M.C.Mammeri, Youcef Editors: Kaspar Nipp Keywords: Saturating diffusionNonlinear dispersionKdV–Burgers equationHyperbolic conservation lawsEntropy measure-valued solutions Issue Date: 9-Mar-2020 Publisher: Springer Nature Switzerland AG, Zeitschrift fur angewandte Mathematik und Physik (ZAMP) Citation: N. Bedjaoui, J. M. C. Correia and Y. Mammeri, On a limit of perturbed conservation laws with saturating diffusion and non-positive dispersion, Z. Angew. Math. Phys. (2020) 71:59 Abstract: We consider a conservation law with convex flux, perturbed by a saturating diffusion and non-positive dispersion of the form $u_t + f(u)_x = ε(u_x/\sqrt{1+u_x^2})_x − δ(|u_xx|^n)_x$. We prove the convergence of the solutions $u^{ε,δ}$ to the entropy weak solution of the hyperbolic conservation law, $u_t + f(u)_x = 0$, for all real number $1 ≤ n ≤ 2$ provided $δ = o(ε^{n(n+1)/2};ε^{n+1/n})$. URI: https://doi.org/10.1007/s00033-020-1279-8http://hdl.handle.net/10174/29164 Type: article Appears in Collections: CIMA - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica

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