About a Vanishing Viscosity-Capillarity Method

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Mathematics & Statistics Seminars and Colloquia, University of Strathclyde, Glasgow, UK

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We consider a class of nonlinear dissipative-dispersive perturbations of the scalar conservation law @tu + div f (u) = 01 and we study the convergence of the approximated solutions to its entropy solution. In particular, we obtain conditions under which the balance between dissipation and dispersion gives rise to the convergence (by DiPerna's measure-valued solution technique).

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About a Vanishing Viscosity-Capillarity Method, Joaquim M.C. Correia, Applied Analysis Seminar, Department of Mathematics and Statistics, University of Strathclyde, April 22, 2016

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