NAVIER-STOKES PROBLEM IN VELOCITY-PRESSURE FORMULATION: NEWTON LINEARIZATION AND CONVERGENCE

被引：0

作者：

Younes, Ants ^{[1
]}

Jarray, Abdennaceur ^{[1
]}

Bouchiba, Mohamed ^{[2
]}

机构：

[1] Tunis El Manar Univ, Fac Sci Tunis, El Manar, Tunisia

[2] Carthage Univ, Natl Inst Appl Sci & Technol, Carthage, Tunisia

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2014年

关键词：

Navier-Stokes equations; Newton's algorithm; convergence;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article we study the nonlinear Navier-Stokes problem in velocity-pressure formulation. We construct a sequence of a Newton-linearized problems and we show that the sequence of weak solutions converges towards the solution of the nonlinear one in a quadratic way.

引用

页数：9

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