Hyperbolic systems with relaxation: symmetrizers and entropies
(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.
Please use this url to cite or link to this publication:
http://lup.lub.lu.se/record/1224313
- author
- Schroll, Achim ^{LU} and Lorenz, Jens
- organization
- publishing date
- 1999
- 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
- 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}, }