Anis Younes, Abdennaceur Jarray, Mohamed Bouchiba
Abstract:
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.
Submitted January 3, 2013. Published December 1, 2014.
Math Subject Classifications: 35J20, 49J96.
Key Words: Navier-Stokes equations; Newton's algorithm; convergence.
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Anis Younes Tunis El Manar University Faculty of Sciences of Tunis, Tunisia email: younesanis@yahoo.fr |
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Abdennaceur Jarray Tunis El Manar University Faculty of Sciences of Tunis, Tunisia email: abdennaceur.jarray@gmail.com |
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Mohamed Bouchiba Carthage University National Institute of Applied Sciences and Technology Tunisia email: mohamed.bouchiba@yahoo.fr |
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