The Inviscid Limit for the Navier–Stokes Equations with Data Analytic Only Near the Boundary
The Inviscid Limit for the Navier–Stokes Equations with Data Analytic Only Near the Boundary
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DOI：
10.1007/s00205-020-01517-3
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发表时间：
2020-04
影响因子：
2.5
通讯作者：
I. Kukavica;V. Vicol;Fei Wang
中科院分区：
文献类型：
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作者：
I. Kukavica;V. Vicol;Fei Wang
我们解决了半空间中的Navier-Stokes方程的无粘极限，初始数据仅在接近域的边界处解析，并且在补充中具有Sobolev正则性。我们证明，对于这样的数据的Navier-Stokes方程的解决方案收敛于消失的粘度极限的欧拉方程的解决方案，在一个恒定的时间间隔。
We address the inviscid limit for the Navier–Stokes equations in a half space, with initial datum that is analytic only close to the boundary of the domain, and that has Sobolev regularity in the complement. We prove that for such data the solution of the Navier–Stokes equations converges in the vanishing viscosity limit to the solution of the Euler equation, on a constant time interval.