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Hyperbolic systems with relaxation: symmetrizers and entropies

Schroll, Achim LU and Lorenz, Jens (1999) In Hyperbolic problems: theory, numerics, applications. Vol. II / Internat. Ser. Numer. Math. 130 p.823-832
Abstract
This paper deals with the Cauchy problem for hyperbolic so-called stiff systems in one space dimension with large relaxation term depending on a small parameter $delta$. In this case the symmetrizer for the modified symbol of the system, in general, depends on the wave number $omega$ and does not define a quadratic entropy. Therefore, the concept of stiff well-posedness of the Cauchy problem appears. In the paper a mathematical example and a class of physically relevant systems for which the Cauchy problem is stiffly well-posed are considered.
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author
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
in
Hyperbolic problems: theory, numerics, applications. Vol. II / Internat. Ser. Numer. Math. 130
editor
Jeltsch, Rolf and
pages
823 - 832
publisher
Birkhäuser
ISBN
3-7643-6087-9
language
English
LU publication?
yes
id
18ba77de-f901-4294-9503-6a49637b3a27 (old id 1224313)
date added to LUP
2008-09-02 12:01:25
date last changed
2016-04-16 09:50:39
@inproceedings{18ba77de-f901-4294-9503-6a49637b3a27,
  abstract     = {This paper deals with the Cauchy problem for hyperbolic so-called stiff systems in one space dimension with large relaxation term depending on a small parameter $delta$. In this case the symmetrizer for the modified symbol of the system, in general, depends on the wave number $omega$ and does not define a quadratic entropy. Therefore, the concept of stiff well-posedness of the Cauchy problem appears. In the paper a mathematical example and a class of physically relevant systems for which the Cauchy problem is stiffly well-posed are considered.},
  author       = {Schroll, Achim and Lorenz, Jens},
  booktitle    = {Hyperbolic problems: theory, numerics, applications. Vol. II / Internat. Ser. Numer. Math. 130},
  editor       = {Jeltsch, Rolf},
  isbn         = {3-7643-6087-9},
  language     = {eng},
  pages        = {823--832},
  publisher    = {Birkhäuser},
  title        = {Hyperbolic systems with relaxation: symmetrizers and entropies},
  year         = {1999},
}