Pointwise Green function bounds and long-time stability of large-amplitude noncharacteristic boundary layers

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dc.creatorYarahmadian, Shantia
dc.creatorZumbrun, Kevin
dc.date2008-01-31
dc.date.accessioned2026-07-07T08:57:31Z
dc.date.available2026-07-07T08:57:31Z
dc.descriptionUsing pointwise semigroup techniques of Zumbrun--Howard and Mascia--Zumbrun, we obtain sharp global pointwise Green function bounds for noncharacteristic boundary layers of arbitrary amplitude. These estimates allow us to analyze linearized and nonlinearized stability of noncharacteristic boundary layers of one-dimensional systems of conservation laws, showing that both are equivalent to a numerically checkable Evans function condition. Our results extend to the large-amplitude case results obtained for small amplitudes by Matsumura, Nishihara and others using energy estimates.
dc.description33 pp
dc.identifierhttps://arxiv.org/abs/0801.4899
dc.identifierhttp://arxiv.org/abs/0801.4899
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/146999
dc.subjectAnalysis of PDEs
dc.subject35B35
dc.titlePointwise Green function bounds and long-time stability of large-amplitude noncharacteristic boundary layers
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