Long-time stability of multi-dimensional noncharacteristic viscous boundary layers

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dc.creatorNguyen, Toan
dc.creatorZumbrun, Kevin
dc.date2008-07-30
dc.date2008-08-01
dc.date.accessioned2026-07-07T09:53:55Z
dc.date.available2026-07-07T09:53:55Z
dc.descriptionWe establish long-time stability of multi-dimensional noncharacteristic boundary layers of a class of hyperbolic--parabolic systems including the compressible Navier--Stokes equations with inflow [outflow] boundary conditions, under the assumption of strong spectral, or uniform Evans, stability. Evans stabiity has been verified for small-amplitude layers by Guès, Métivier, Williams, and Zumbrun. For large-amplitude layers, it may be efficiently checked numerically, as done in the one-dimensional case by Costanzino, Humpherys, Nguyen, and Zumbrun.
dc.description42 pp. Added comments to Appendix (only change)
dc.identifierhttps://arxiv.org/abs/0807.4946
dc.identifierhttp://arxiv.org/abs/0807.4946
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/166130
dc.subjectMathematical Physics
dc.titleLong-time stability of multi-dimensional noncharacteristic viscous boundary layers
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