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.

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.

Nguyen, Toan 1 ; Zumbrun, Kevin 2

1 Institut de Mathématiques de Jussieu Université Pierre et Marie Curie (Paris 6)
2 Department of Mathematics Indiana University Bloomington IN 47402
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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://www.numdam.org/item/SEDP_2009-2010____A6_0/

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