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.
@article{SEDP_2009-2010____A6_0,
author = {Nguyen, Toan and Zumbrun, Kevin},
title = {Long-time stability of noncharacteristic viscous boundary layers},
journal = {S\'eminaire \'Equations aux d\'eriv\'ees partielles (Polytechnique) dit aussi "S\'eminaire Goulaouic-Schwartz"},
note = {talk:6},
pages = {1--15},
publisher = {Centre de math\'ematiques Laurent Schwartz, \'Ecole polytechnique},
year = {2009-2010},
language = {en},
url = {http://archive.numdam.org/item/SEDP_2009-2010____A6_0/}
}
TY - JOUR AU - Nguyen, Toan AU - Zumbrun, Kevin TI - Long-time stability of noncharacteristic viscous boundary layers JO - Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" N1 - talk:6 PY - 2009-2010 SP - 1 EP - 15 PB - Centre de mathématiques Laurent Schwartz, École polytechnique UR - http://archive.numdam.org/item/SEDP_2009-2010____A6_0/ LA - en ID - SEDP_2009-2010____A6_0 ER -
%0 Journal Article %A Nguyen, Toan %A Zumbrun, Kevin %T Long-time stability of noncharacteristic viscous boundary layers %J Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" %Z talk:6 %D 2009-2010 %P 1-15 %I Centre de mathématiques Laurent Schwartz, École polytechnique %U http://archive.numdam.org/item/SEDP_2009-2010____A6_0/ %G en %F SEDP_2009-2010____A6_0
Nguyen, Toan; Zumbrun, Kevin. Long-time stability of noncharacteristic viscous boundary layers. Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (2009-2010), Exposé no. 6, 15 p. http://archive.numdam.org/item/SEDP_2009-2010____A6_0/
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