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A remark on the sta...
A remark on the stability of viscous shock-waves
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Goodman, Jonathan (author)
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- Szepessy, Anders, 1960- (author)
- KTH,Numerisk analys och datalogi, NADA
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Zumbrun, Kevin (author)
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(creator_code:org_t)
- PHILADELPHIA : SIAM PUBLICATIONS, 1994
- 1994
- English.
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In: SIAM Journal on Mathematical Analysis. - PHILADELPHIA : SIAM PUBLICATIONS. - 0036-1410 .- 1095-7154. ; 25:6, s. 1463-1467
- Related links:
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
Subject headings
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- Recently, Szepessy and Xin gave a new proof of stability of viscous shock waves. A curious aspect of their argument is a possible disturbance of zero mass, but log(t)t-1/2 amplitude in the vicinity of the shock wave. This would represent a previously unobserved phenomenon. However, only an upper bound is established in their proof. Here, we present an example of a system for which this phenomenon can be verified by explicit calculation. The disturbance near the shock is shown to be precisely of order t-1/2 in amplitude.
Keyword
- STABILITY
- VISCOUS CONSERVATION LAWS
- SHOCK WAVES
- DIFFUSION WAVES
Publication and Content Type
- ref (subject category)
- art (subject category)
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