Preprint A139/2002
Boundary layers in parabolic perturbations of scalar conservation laws

Vladimir Shelukhin | Frid, Hermano

**Keywords: **
Conservation laws | parabolic equations | boundary layers

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 $\mathbb{R}^d$. For the boundary layer thickness $\delta(\epsilon)$ we obtain that one can take
$\delta(\epsilon)=\epsilon^r$, for any $r<1/2$, arbitrarily close to $1/2$.