SOLUTIONS TO THREE-DIMENSIONAL NAVIER-STOKES EQUATIONS FOR INCOMPRESSIBLE FLUIDS

被引：0

作者：

Jormakka, Jorma ^{[1
]}

机构：

[1] Natl Def Univ, Helsinki 00861, Finland

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2010年

关键词：

Partial differential equations; Navier-Stokes equation; fluid dynamics;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article gives explicit solutions to the space-periodic Navier-Stokes problem with non-periodic pressure. These type of solutions are not unique and by using such solutions one can construct a periodic, smooth, divergence-free initial vector field allowing a space-periodic and time-bounded external force such that there exists a smooth solution to the 3-dimensional Navier-Stokes equations for incompressible fluid with those initial conditions, but the solution cannot be continued to the whole space.

引用

页数：14