Stability Analysis Of Boundary Layer Of Two-dimensional Quasilinear Parabolic Equations

In this paper, we study the asymptotic limit of the solution of a two-dimensional quasi-linear parabolic equation in a weak boundary layer and a expandable strong boundary layer under the condition of viscous limit. We use two steps to analyze this equation First, we construct ua as the bridge. And then, With the help of ua, we use priori estimates. finally, through several conclusion of proof 4,5,6,7, we can get Viscous solution converges unobstructed.