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.
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页数：9
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