On the Inviscid Limit for Two-Dimensional Incompressible Flow with Navier Friction Condition
On the Inviscid Limit for Two-Dimensional Incompressible Flow with Navier Friction Condition
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DOI：
10.1137/s0036141003432341
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发表时间：
2005
期刊：
影响因子：
--
通讯作者：
M. L. Filho;H. N. Lopes;G. Planas
中科院分区：
文献类型：
--
作者：
M. L. Filho;H. N. Lopes;G. Planas
在[非线性，11（1998），pp. 1625--1636]，Clopeau，Mikelic和Robert研究了二维不可压缩Navier-Stokes方程在有界区域中的Navier摩擦型边界条件下的无粘极限。他们证明了无粘性极限满足不可压缩的欧拉方程，他们的结果最终包括由有界初始涡量产生的流动。我们在这篇文章中的目的是适应，并在一定程度上，简化他们的论点，以包括p次幂可积初始涡度，p > 2。
In [Nonlinearity, 11 (1998), pp. 1625--1636], Clopeau, Mikelic, and Robert studied the inviscid limit of the two-dimensional incompressible Navier--Stokes equations in a bounded domain subject to Navier friction--type boundary conditions. They proved that the inviscid limit satisfies the incompressible Euler equations, and their result ultimately includes flows generated by bounded initial vorticities. Our purpose in this article is to adapt and, to some extent, simplify their argument in order to include pth power integrable initial vorticities, with p > 2.