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Boundary layers in parabolic perturbations of scalar conservation laws

  • Hermano FridEmail author
  • Vladimir Shelukhin
Original paper

Abstract

We consider the problem of estimating the boundary layer thickness for vanishing viscosity solutions of boundary value problems for parabolic perturbations of a scalar conservation law in a space strip in R d . For the boundary layer thickness δ(ε) we obtain that one can take δ(ε)= ε r , for any r<1/2, arbitrarily close to 1/2.

Mathematics Subject Classification (2000):

Primary: 35L65 Secondary: 35B35 35B40 

Keywords.

Conservation laws parabolic equations boundary layers 

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Copyright information

© Birkhäuser-Verlag 2004

Authors and Affiliations

  1. 1.Instituto de Matemática Pura e AplicadaIMPARio de JaneiroBrasil
  2. 2.Lavrentyev Institute of Hydrodynamics, Siberian BranchRussian Academy of SciencesNovosibirskRussia

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