Diffusion phenomena for partially dissipative hyperbolic systems

We consider a partially dissipative hyperbolic system with time-dependent coefficients and show that under natural assumptions its solutions behave like solutions to a parabolic problem modulo terms of faster decay. This generalises the well-known diffusion phenomenon for damped waves and gives some...

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 2014-06, Vol.414 (2), p.666-677
Main Author: Wirth, Jens
Format: Article
Language:English
Subjects:
Diffusion phenomenon
Hyperbolic systems
Partial dissipation
Uniform Kalman rank condition
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Summary:We consider a partially dissipative hyperbolic system with time-dependent coefficients and show that under natural assumptions its solutions behave like solutions to a parabolic problem modulo terms of faster decay. This generalises the well-known diffusion phenomenon for damped waves and gives some further insights into the structure of dissipative hyperbolic systems.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2014.01.034