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Viscous Boundary Layers and High Frequency Oscillations

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Singularities and Oscillations

Part of the book series: The IMA Volumes in Mathematics and its Applications ((IMA,volume 91))

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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Author information

Authors and Affiliations

  1. IRMAR URA 305 CNRS, Université de Rennes 1, Rennes, cédex, 35042, France

    Olivier Gues

  2. Laboratoire Dieudonne, URA CNRS 168, Université de Nice, cédex 2, 06108, Nice, France

    Olivier Gues

Authors
  1. Olivier Gues
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Editor information

Editors and Affiliations

  1. Department of Mathematics, University of Michigan, Ann Arbor, MI, 48109-1003, USA

    Jeffrey Rauch

  2. Department of Mathematics, University of North Carolina, Chapel Hill, Chapel Hill, NC, 27599, USA

    Michael Taylor

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© 1997 Springer Science+Business Media New York

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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

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-7362-2

  • Online ISBN: 978-1-4612-1972-9

  • eBook Packages: Springer Book Archive

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