ISSN:
1572-9036
Keywords:
singular perturbations
;
asymptotic expansion
;
hyperbolic systems
;
damped wave equation
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract The fact that a solution of a wave equation with strong damping can be approximated by a solution of an appropriate diffusion equation has been common knowledge to physicists and mathematicians for a few decades. In numerous branches of science one can find attempts to prove this results by various ad hoc methods. However, it seems to be difficult to trace a rigorous and exhaustive treatment of the subject. By using a recently developed asymptotic procedure, first applied in kinetic theory, we present a systematic approach to a wide spectrum of singularly perturbed hyperbolic problems and we also hope that our method will provide new insight into the field.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1005882912151
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