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.
Main Authors: | , , |
---|---|
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 |
Summary: | 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. |
---|---|
ISSN: | 1072-6691 |