Initial-boundary value problem of the Navier–Stokes equations in the half space with nonhomogeneous data

被引：0
作者：
Chang T. [1 ]
Jin B.J. [2 ]
机构：
[1] Department of Mathematics, Yonsei University, Seoul
[2] Department of Mathematics, Mokpo National University, Muan-gun
来源：
ANNALI DELL'UNIVERSITA' DI FERRARA | 2019年 / 65卷 / 1期
关键词：
Homogeneous anisotropic Besov space; Initial-boundary value problem; Navier–Stokes equations; Stokes equations;
D O I：
10.1007/s11565-018-0312-8
中图分类号：
学科分类号：
摘要：
This paper discusses the solvability (global in time) of the initial-boundary value problem of the Navier–Stokes equations in the half space when the initial data h∈B˙qσα-2q(R+n) and the boundary data g∈B˙qα-1q,α2-12q(Rn-1×R+) with gn∈B˙q12α(R+;B˙q-1q(Rn-1))∩Lq(R+;B˙α-1q(Rn-1)), for any 0 < α< 2 and q=n+2α+1. Compatibility condition (1.3) is required for h and g. © 2018, Università degli Studi di Ferrara.
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页码：29 / 56
页数：27
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