In this paper, we consider an initial-boundary value problem of Hsieh's equation with conservative nonlinearity. The global unique solvability in the framework of Sobolev is established. In particular, one of our main motivations is to investigate the boundary layer (BL) effect and the convergence rates as the diffusion parameter $beta$ goes zero. It is shown that the BL-thickness is of the order $O(beta ^{gamma })$ with $0展开▼
