Abstract
This paper concerns small viscosity perturbations of mixed semilinear (symmetric first order) hyperbolic systems, in several dimensions. The problem is to describe the (smooth and local in time) solution uE of the Cauchy-Dirichlet problem for the perturbed system, as the viscosity parametere >0 goes to zero. A “boundary layer” forms in the vicinity of the boundary, where the solutionuEdevelop a singularity (with respect toe.)
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Gues, O. (1997). Viscous Boundary Layers and High Frequency Oscillations. In: Rauch, J., Taylor, M. (eds) Singularities and Oscillations. The IMA Volumes in Mathematics and its Applications, vol 91. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1972-9_4
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DOI: https://doi.org/10.1007/978-1-4612-1972-9_4
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