NOTE ON THE FLUX PROBLEM FOR STATIONARY INCOMPRESSIBLE NAVIER-STOKES EQUATIONS IN DOMAINS WITH A MULTIPLY CONNECTED BOUNDARY

被引：34

作者：

BORCHERS, W ^{[1
]}

PILECKAS, K ^{[1
]}

机构：

[1] UNIV GESAMTHSCH PADERBORN, FACHBEREICH MATH INFORMAT, D-33098 PADERBORN, GERMANY

来源：

ACTA APPLICANDAE MATHEMATICAE | 1994年 / 37卷 / 1-2期

关键词：

NAVIER-STOKES EQUATIONS; FLUX; SOLENOIDAL HOPF EXTENSION; EXISTENCE THEOREM; NEW ESTIMATES;

D O I：

10.1007/BF00995126

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we present a new proof for the existence of Navier-Stokes flows with nonhomogeneous boundary conditions in domains with multiply connected boundaries. For sufficiently small fluxes, we show the existence of at least one stationary solution with an improved smallness assumption.

引用

页码：21 / 30

页数：10

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