Long-time stability of noncharacteristic viscous boundary layers

Toan Nguyen[1]; Kevin Zumbrun[2]

  • [1] Institut de Mathématiques de Jussieu Université Pierre et Marie Curie (Paris 6)
  • [2] Department of Mathematics Indiana University Bloomington IN 47402

Séminaire Équations aux dérivées partielles (2009-2010)

  • Volume: 2009-2010, page 1-15

Abstract

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We report our results on 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–amplitudes, it may be checked numerically, as done in one–dimensional case for isentropic gas by Costanzino, Humpherys, Nguyen, and Zumbrun.

How to cite

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Nguyen, Toan, and Zumbrun, Kevin. "Long-time stability of noncharacteristic viscous boundary layers." Séminaire Équations aux dérivées partielles 2009-2010 (2009-2010): 1-15. <http://eudml.org/doc/116446>.

@article{Nguyen2009-2010,
abstract = {We report our results on 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–amplitudes, it may be checked numerically, as done in one–dimensional case for isentropic gas by Costanzino, Humpherys, Nguyen, and Zumbrun.},
affiliation = {Institut de Mathématiques de Jussieu Université Pierre et Marie Curie (Paris 6); Department of Mathematics Indiana University Bloomington IN 47402},
author = {Nguyen, Toan, Zumbrun, Kevin},
journal = {Séminaire Équations aux dérivées partielles},
keywords = {hyperbolic-parabolic systems; compressible Navier-Stokes equations; inflow [outflow] boundary conditions},
language = {eng},
pages = {1-15},
publisher = {Centre de mathématiques Laurent Schwartz, École polytechnique},
title = {Long-time stability of noncharacteristic viscous boundary layers},
url = {http://eudml.org/doc/116446},
volume = {2009-2010},
year = {2009-2010},
}

TY - JOUR
AU - Nguyen, Toan
AU - Zumbrun, Kevin
TI - Long-time stability of noncharacteristic viscous boundary layers
JO - Séminaire Équations aux dérivées partielles
PY - 2009-2010
PB - Centre de mathématiques Laurent Schwartz, École polytechnique
VL - 2009-2010
SP - 1
EP - 15
AB - We report our results on 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–amplitudes, it may be checked numerically, as done in one–dimensional case for isentropic gas by Costanzino, Humpherys, Nguyen, and Zumbrun.
LA - eng
KW - hyperbolic-parabolic systems; compressible Navier-Stokes equations; inflow [outflow] boundary conditions
UR - http://eudml.org/doc/116446
ER -

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