A remark on the stability of viscous shock-waves
1994 (English)In: SIAM Journal on Mathematical Analysis, ISSN 0036-1410, E-ISSN 1095-7145, Vol. 25, no 6, 1463-1467 p.Article in journal (Refereed) Published
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.
STABILITY, VISCOUS CONSERVATION LAWS, SHOCK WAVES, DIFFUSION WAVES
IdentifiersURN: urn:nbn:se:kth:diva-51567DOI: 10.1137/S0036141092239648ISI: A1994PP81900001OAI: oai:DiVA.org:kth-51567DiVA: diva2:464623
QC 201112142011-12-132011-12-132011-12-14Bibliographically approved