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: | urn:nbn:de:hbz:386-kluedo-10469 |
| Series (Serial Number): | Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (220) |
| Document Type: | Preprint |
| Language of publication: | English |
| Year of Completion: | 2000 |
| Year of first Publication: | 2000 |
| Publishing Institution: | 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: | Kaiserslautern - Fachbereich Mathematik |
| DDC-Cassification: | 5 Naturwissenschaften und 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 |