Sharp Inviscid Limit Results under Navier Type Boundary Conditions. An Lp Theory
Sharp Inviscid Limit Results under Navier Type Boundary Conditions. An Lp Theory
复制标题
DOI：
10.1007/s00021-009-0295-4
复制
发表时间：
2010-08
影响因子：
1.3
通讯作者：
H. B. Veiga;F. Crispo
中科院分区：
文献类型：
--
作者：
H. B. Veiga;F. Crispo
考虑了具有Navier滑移型边界条件的演化Navier-Stokes方程，研究了当粘性趋于零时，解收敛于零通量边界条件下的Euler方程的解.在二维和三维情况下，我们得到了相当尖锐的结果。然而，在三维情况下，我们需要假设边界是平坦的。
We consider the evolutionary Navier–Stokes equations with a Navier slip-type boundary condition, and study the convergence of the solutions, as the viscosity goes to zero, to the solution of the Euler equations under the zero-flux boundary condition. We obtain quite sharp results in the 2-D and 3-D cases. However, in the 3-D case, we need to assume that the boundary is flat.