TY - JOUR
T1 - Long-time stability of multi-dimensional noncharacteristic viscous boundary layers
AU - Nguyen, Toan
AU - Zumbrun, Kevin
N1 - Funding Information:
This work was supported in part by the National Science Foundation award number DMS-0300487.
PY - 2010
Y1 - 2010
N2 - 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.
AB - 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.
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U2 - 10.1007/s00220-010-1095-7
DO - 10.1007/s00220-010-1095-7
M3 - Article
AN - SCOPUS:77954998653
SN - 0010-3616
VL - 299
SP - 1
EP - 44
JO - Communications In Mathematical Physics
JF - Communications In Mathematical Physics
IS - 1
ER -