Solution of the Navier-Stokes problem

被引：2
作者：
Ramm, Alexander G. [1 ]
机构：
[1] Kansas State Univ, Dept Math, Manhattan, KS 66506 USA
来源：
APPLIED MATHEMATICS LETTERS | 2019年 / 87卷
关键词：
Navier-Stokes equations; Global existence and uniqueness; UNIQUENESS; EXISTENCE;
D O I：
10.1016/j.aml.2018.07.034
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A new a priori estimate for solutions to Navier-Stokes equations is derived. Uniqueness and existence of these solutions in R-3 for all t > 0 is proved in a class of solutions locally differentiable in time with values in H-1 (R-3), where H-1(R-3) is the Sobolev space. By the solution a solution to an integral equation is understood. No smallness restrictions on the data are imposed. (C) 2018 Elsevier Ltd. All rights reserved.
引用
收藏
页码：160 / 164
页数：5
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