A Class Of Characteristic Boundary Layer Problems For N-dimensional Viscous Conservation Laws

In this thesis,we study the asymptotic behavior of solutions for a class of n-dimensional nonlinear parabolic equations as the viscosity coefficient tend to 0.A series of weighted estimates are carried out for the characteristic boundary layer equations,namely Prandtl type equations,there the existence of solutions for boundary layer equations is obtained.By the weighted energy estimates for the error equation,finally,the asymptotic equivalence between solutions of viscous equation and solution of inviscid equations is obtained.