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Hyperbolic systems with relaxation: symmetrizers and entropies

Schroll, Achim LU and Lorenz, Jens (1999) 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.
Please use this url to cite or link to this publication:
author
and
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
host publication
Hyperbolic problems: theory, numerics, applications. Vol. II / Internat. Ser. Numer. Math. 130
editor
Jeltsch, Rolf
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
2016-04-04 11:53:23
date last changed
2025-04-04 14:05:45
@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}},
}