Linear and Nonlinear Stability of Quasilinear Boundary Layers
In this chapter we briefly describe the main results of [MZ1], which extend to the multidimensional case the results obtained by E. Grenier and F. Rousset [Gr-Ro] in dimension 1. They also extend the results of E. Grenier and O. Guès [Gr-Gu] and M. Gisclon and D. Serre [Gi-Se] which were obtained under a smallness assumption.
KeywordsLinear Stability Nonlinear Stability Fourier Multiplier Hyperbolic Problem Smallness Assumption
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