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A Remark on the Stability of Viscous Shock Waves

Jonathan GoodmanAnders SzepessyKevin Zumbrun

出版	Royal Institute of Technology, Department of Numerical Analysis and Computing Science, 1992
URL	http://books.google.com.hk/books?id=fiSWtgAACAAJ&hl=&source=gbs_api

註釋Abstract: "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[superscript -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[superscript -1/2] in amplitude."