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Title: Nonlinear Hyperbolicity
Authors: Correia, Joaquim
Keywords: hyperbolic conservation law
shock wave
entropy weak solution
measure-valued solution
Burgers equation
KdV-type equation
Issue Date: 23-May-2013
Publisher: Universidade de Évora
Citation: Mathematics of Planet Earth, Workshop Matemática e Física de Aerossóis, ECT, Universidade de Évora, May 23, 2013
Abstract: In this presentation we attempt to stress two points of view on hyperbolic conservation laws: modelization and analytical theory. And, how they are sensitively related. While appliers are concerned with reliability, integrity or failure of solutions, mathematicians are concerned with non uniqueness, selection of physically relevant solutions or entropy criteria. In the modeling process, within simplifications, some “spurious terms” are usually discarded from the equations and so, in order to address uniqueness, a crucial information is lost. We discuss here the relevant dissipative or dispersive effect of some of those small scale terms (zero singular limits).
Type: lecture
Appears in Collections:CIMA - Comunicações - Em Congressos Científicos Nacionais

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program.pdfPrograma do Workshop593.07 kBAdobe PDFView/Open
Cartaz.pdfCartaz do Workshop12.09 MBAdobe PDFView/Open
BeamerMFA.pdfCommunication(Beamer) Nonlinear Hyperbolicity1.04 MBAdobe PDFView/Open
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