Long-time Stability of Noncharacteristic Viscous Boundary Layers
نویسنده
چکیده
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.
منابع مشابه
On Asymptotic Stability of Noncharacteristic Viscous Boundary Layers
We extend our recent work with K. Zumbrun on long-time stability of multidimensional noncharacteristic viscous boundary layers of a class of symmetrizable hyperbolicparabolic systems. Our main improvements are (i) to establish the stability for a larger class of systems in dimensions d ≥ 2, yielding the result for certain magnetohydrodynamics (MHD) layers; (ii) to drop a technical assumption on...
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