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

Toan Nguyen, Kevin Zumbrun

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

We 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 stability 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.

Original languageEnglish (US)
Pages (from-to)1-44
Number of pages44
JournalCommunications In Mathematical Physics
Volume299
Issue number1
DOIs
StatePublished - Aug 2 2010

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Boundary Layer
boundary layers
Compressible Navier-Stokes Equations
Parabolic Systems
Hyperbolic Systems
Navier-Stokes equation
boundary conditions
Boundary conditions
Class

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

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Long-time stability of multi-dimensional noncharacteristic viscous boundary layers. / Nguyen, Toan; Zumbrun, Kevin.

In: Communications In Mathematical Physics, Vol. 299, No. 1, 02.08.2010, p. 1-44.

Research output: Contribution to journalArticle

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