Mathematics > Analysis of PDEs
[Submitted on 30 Dec 2008 (v1), last revised 31 Dec 2008 (this version, v2)]
Title:On asymptotic stability of noncharacteristic viscous boundary layers
View PDFAbstract: We extend our recent work with K. Zumbrun on long-time stability of multi-dimensional noncharacteristic viscous boundary layers of a class of symmetrizable hyperbolic-parabolic systems. Our main improvements are (i) to establish the stability for a larger class of systems in dimensions d\ge 2, yielding the result for certain magnetohydrodynamics (MHD) layers; (ii) to drop a technical assumption on the so--called glancing set which was required in previous works. We also provide a different proof of low-frequency estimates by employing the method of Kreiss' symmetrizers, replacing the one relying on detailed derivation of pointwise bounds on the resolvent kernel.
Submission history
From: Toan Nguyen T [view email][v1] Tue, 30 Dec 2008 14:16:17 UTC (22 KB)
[v2] Wed, 31 Dec 2008 01:42:02 UTC (23 KB)
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