Boundary layers in parabolic perturbations of scalar conservation laws
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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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