流体动力学方程组固壁边界问题的奇异极限

Singular Limits for the Boundary Problem of Rigid Wall in Hydrokinetics Equations

采用旋度算子的方法研究流体动力学方程组固壁边界问题的奇异极限。克服大参数和边界所引出的困难,直接对解作能量估计,证明了局部可微解的存在和唯一性定理。推广了文献中关于Cauchy问题的结果。

By introducing the method of rotation operator, we study the singular limits for the boundary problem of rigid wall in hydrokinetics equations. We overcome the difficulty from the large parameters and boundary conditions, make energy estimation for the solution directly, prove the existence and uniqueness theorems of local differentiable solution and extend the results in references for Cauchy problem to boundary problem.