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Title: About a Vanishing Viscosity-Capillarity Method
Authors: Correia, Joaquim M.C.
Keywords: Vanishing Viscosity-Capillarity Method
KdV equation
Burgers’ equation
Issue Date: 22-Apr-2016
Publisher: Mathematics & Statistics Seminars and Colloquia, University of Strathclyde, Glasgow, UK
Citation: About a Vanishing Viscosity-Capillarity Method, Joaquim M.C. Correia, Applied Analysis Seminar, Department of Mathematics and Statistics, University of Strathclyde, April 22, 2016
Abstract: 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).
Type: lecture
Appears in Collections:CIMA - Comunicações - Em Congressos Científicos Internacionais

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