Please use this identifier to cite or link to this item:

Title: Zero limit of dispersive-dissipative perturbed hyperbolic conservation laws
Authors: Correia, Joaquim M.C.
Keywords: Singular limit
Burgers equation
KdV-type equation
hyperbolic conservation law
shock wave
entropy weak solution
measure-valued solution
Issue Date: 17-Feb-2014
Publisher: Session "Dispersive Equations and Mean-Field Models", 3rd International Conference on Dynamics, Games and Science
Citation: 3rd International Conference on Dynamics, Games and Science, University of Porto, February 17–21, 2014
Abstract: We consider the initial value problem for full nonlinear dissipative-dispersive perturbations of multidimensional scalar hyperbolic conservation laws, say generalized KdV-Burgers equations. And, as the perturbations vanish, we analyse the convergence of solutions for such problem to the classical entropy weak solution of the limit hyperbolic conservation laws. This is a step for the proof of a “vanishing viscosity-capillarity method”. We use the setting of DiPerna’s measure-valued solution uniqueness result. The class of equations under consideration have the form of \pa_t u+div f(u)=\eps div b(u,\grad u)+\del div \pa_(\xi) c(u,\grad u), which include generalized Korteweg-de Vries-Burgers equation (when \xi is a space variable) and Benjamin-Bona-Mahony-Burgers equation (when \xi is the time variable), or that of \pa_t u+div f(u)=\del div c(u,\grad \pa_(\xi)u), which can present unexpected dissipative properties.
Type: lecture
Appears in Collections:CIMA - Comunicações - Em Congressos Científicos Internacionais

Files in This Item:

File Description SizeFormat
DGS(Zero-limit).pdfCertificate (Talk)1.86 MBAdobe PDFView/OpenRestrict Access. You can Request a copy!
BeamerDispersiveEqs.pdfTalk1.41 MBAdobe PDFView/OpenRestrict Access. You can Request a copy!
FacebookTwitterDeliciousLinkedInDiggGoogle BookmarksMySpaceOrkut
Formato BibTex mendeley Endnote Logotipo do DeGóis 

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.


Dspace Dspace
DSpace Software, version 1.6.2 Copyright © 2002-2008 MIT and Hewlett-Packard - Feedback
UEvora B-On Curriculum DeGois