Navier-Stokes problem in velocity-pressure formulation: Newton linearization and convergence

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.

Bibliographic Details
Main Authors: Anis Younes, Abdennaceur Jarray, Mohamed Bouchiba
Format: Article
Language:English
Published: Texas State University 2014-12-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2014/250/abstr.html