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arXiv · 0807.4946

Long-time stability of multi-dimensional noncharacteristic viscous boundary layers

Toan Nguyen·Kevin Zumbrun
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Abstract

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 stabiity 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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Toan Nguyen, Kevin Zumbrun. 2008-08-01. Long-time stability of multi-dimensional noncharacteristic viscous boundary layers. https://arxiv.org/abs/0807.4946

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