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Title: Nonlinearly perturbed hyperbolic conservation laws
Authors: Correia, Joaquim
Keywords: Hyperbolic conservation law
shock wave
entropy weak solution
measure-valued solution
Burgers equation
KdV-type equation
Issue Date: 23-Apr-2013
Publisher: CVIM’2013 Universidade de Cabo Verde, April 22–25, 2013 []
Citation: The Cape Verde International Days on Mathematics 2013 (CVIM'2013), Praia, Cape Verde, April 22-25, 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, mathematcians 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 Internacionais

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