Preprint A139/2002
Boundary layers in parabolic perturbations of scalar conservation laws
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 $1/2$.