Exponentially exact hyperbolic systems

  • Starting with general hyperbolic systems of conservation laws, a special sub - class is extracted in which classical solutions can be expressed in terms of a linear transport equation. A characterizing property of this sub - class which contains, for example, all linear systems and non - linear scalar equations, is the existence of so called exponentially exact entropies.

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Author:Michael Junk
URN (permanent link):urn:nbn:de:hbz:386-kluedo-10469
Serie (Series number):Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (220)
Document Type:Preprint
Language of publication:English
Year of Completion:2000
Year of Publication:2000
Publishing Institute:Technische Universität Kaiserslautern
Date of the Publication (Server):2000/08/14
Tag:classical solutions ; hyperbolic conservation laws ; kinetic approach ; solution formula ; special entropies
Faculties / Organisational entities:Fachbereich Mathematik
DDC-Cassification:5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik
MSC-Classification (mathematics):35-XX PARTIAL DIFFERENTIAL EQUATIONS / 35Lxx Hyperbolic equations and systems [See also 58J45] / 35L45 Initial value problems for first-order hyperbolic systems
Licence (German):Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011

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