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A remark on the stability of viscous shock-waves
KTH, Superseded Departments, Numerical Analysis and Computer Science, NADA.
1994 (English)In: SIAM Journal on Mathematical Analysis, ISSN 0036-1410, E-ISSN 1095-7154, Vol. 25, no 6, 1463-1467 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
PHILADELPHIA: SIAM PUBLICATIONS , 1994. Vol. 25, no 6, 1463-1467 p.
Keyword [en]
STABILITY, VISCOUS CONSERVATION LAWS, SHOCK WAVES, DIFFUSION WAVES
National Category
Natural Sciences
Identifiers
URN: urn:nbn:se:kth:diva-51567DOI: 10.1137/S0036141092239648ISI: A1994PP81900001OAI: oai:DiVA.org:kth-51567DiVA: diva2:464623
Note
QC 20111214Available from: 2011-12-13 Created: 2011-12-13 Last updated: 2017-12-08Bibliographically approved

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