## 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:nbn:de:hbz:386-kluedo-10469 Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (220) Preprint English 2000 2000 Technische Universität Kaiserslautern 2000/08/14 classical solutions ; hyperbolic conservation laws ; kinetic approach ; solution formula ; special entropies Fachbereich Mathematik 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik 35-XX PARTIAL DIFFERENTIAL EQUATIONS / 35Lxx Hyperbolic equations and systems [See also 58J45] / 35L45 Initial value problems for first-order hyperbolic systems Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011

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