THE THREE-DIMENSIONAL INVISCID LIMIT PROBLEM WITH DATA ANALYTIC NEAR THE BOUNDARY

被引：13
作者：
Wang, Fei [1 ]
机构：
[1] Univ Maryland, Dept Math, College Pk, MD 20740 USA
来源：
SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2020年 / 52卷 / 04期
关键词：
inviscid limit; Navier-Stokes; boundary layer; Prandtl equations; Euler equations; ZERO-VISCOSITY LIMIT; NAVIER-STOKES EQUATIONS; VANISHING VISCOSITY; WELL-POSEDNESS; ILL-POSEDNESS; VORTICITY EQUATIONS; PRANDTL EQUATIONS; HALF-SPACE; EULER; LAYER;
D O I：
10.1137/19M1296094
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the three-dimensional Navier-Stokes equations in the upper half space H-+(3) with periodic boundary conditions in the horizontal directions. We prove the inviscid limit holds in the topology L-infinity ([0, T]; L-2 (H-+(3)) assuming the initial datum is analytic in the region {(x,y,z) is an element of H-3+ 0 <= z <= 1 + mu(0)} for some positive mu(0) and has Sobolev regularity in the complement.
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页码：3520 / 3545
页数：26
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