Author: Georges AleixPublisher:
ISBN:
Category :
Languages : fr
Pages : 268
Book Description
Analyse et résolution numérique des équations d'évolution de Navier-Stokes
Author: Georges AleixNavier—Stokes Equations
Author: Roger TemamPublisher: Elsevier
ISBN: 1483256855
Category : Mathematics
Languages : en
Pages : 539
Book Description
Navier-Stokes Equations: Theory and Numerical Analysis focuses on the processes, methodologies, principles, and approaches involved in Navier-Stokes equations, computational fluid dynamics (CFD), and mathematical analysis to which CFD is grounded. The publication first takes a look at steady-state Stokes equations and steady-state Navier-Stokes equations. Topics include bifurcation theory and non-uniqueness results, discrete inequalities and compactness theorems, existence and uniqueness theorems, discretization of Stokes equations, existence and uniqueness for the Stokes equations, and function spaces. The text then examines the evolution of Navier-Stokes equations, including linear case, compactness theorems, alternate proof of existence by semi-discretization, and discretization of the Navier-Stokes equations. The book ponders on the approximation of the Navier-Stokes equations by the projection and compressibility methods; properties of the curl operator and application to the steady-state Navier-Stokes equations; and implementation of non-conforming linear finite elements. The publication is a valuable reference for researchers interested in the theory and numerical analysis of Navier-Stokes equations.
Navier-Stokes Equations : Theory and Numerical Analysis
Author: Roger TemamPublisher:
ISBN:
Category : Navier-Stokes equations
Languages : en
Pages : 408
Book Description
Navier-Stokes equations. On the existence and the search method for global solutions.
Author: Recent developments in the Navier-Stokes problem
Author: Pierre Gilles Lemarie-RieussetPublisher: CRC Press
ISBN: 9781420035674
Category : Mathematics
Languages : en
Pages : 412
Book Description
The Navier-Stokes equations: fascinating, fundamentally important, and challenging,. Although many questions remain open, progress has been made in recent years. The regularity criterion of Caffarelli, Kohn, and Nirenberg led to many new results on existence and non-existence of solutions, and the very active search for mild solutions in the 1990's culminated in the theorem of Koch and Tataru that, in some ways, provides a definitive answer. Recent Developments in the Navier-Stokes Problem brings these and other advances together in a self-contained exposition presented from the perspective of real harmonic analysis. The author first builds a careful foundation in real harmonic analysis, introducing all the material needed for his later discussions. He then studies the Navier-Stokes equations on the whole space, exploring previously scattered results such as the decay of solutions in space and in time, uniqueness, self-similar solutions, the decay of Lebesgue or Besov norms of solutions, and the existence of solutions for a uniformly locally square integrable initial value. Many of the proofs and statements are original and, to the extent possible, presented in the context of real harmonic analysis. Although the existence, regularity, and uniqueness of solutions to the Navier-Stokes equations continue to be a challenge, this book is a welcome opportunity for mathematicians and physicists alike to explore the problem's intricacies from a new and enlightening perspective.
Navier Stokes Equations Theory and Numerical Analysis (Volume 2).
Author: R Temam (ed)Navier-Stokes Equations
Author: Peter ConstantinRésolution numérique des équations de Navier-Stokes par la méthode des différences finies
Author: SpiteriRecent developments in the Navier-Stokes problem
Author: Pierre Gilles Lemarie-RieussetPublisher: CRC Press
ISBN: 9781584882206
Category : Mathematics
Languages : en
Pages : 408
Book Description
The Navier-Stokes equations: fascinating, fundamentally important, and challenging,. Although many questions remain open, progress has been made in recent years. The regularity criterion of Caffarelli, Kohn, and Nirenberg led to many new results on existence and non-existence of solutions, and the very active search for mild solutions in the 1990's culminated in the theorem of Koch and Tataru that, in some ways, provides a definitive answer. Recent Developments in the Navier-Stokes Problem brings these and other advances together in a self-contained exposition presented from the perspective of real harmonic analysis. The author first builds a careful foundation in real harmonic analysis, introducing all the material needed for his later discussions. He then studies the Navier-Stokes equations on the whole space, exploring previously scattered results such as the decay of solutions in space and in time, uniqueness, self-similar solutions, the decay of Lebesgue or Besov norms of solutions, and the existence of solutions for a uniformly locally square integrable initial value. Many of the proofs and statements are original and, to the extent possible, presented in the context of real harmonic analysis. Although the existence, regularity, and uniqueness of solutions to the Navier-Stokes equations continue to be a challenge, this book is a welcome opportunity for mathematicians and physicists alike to explore the problem's intricacies from a new and enlightening perspective.
RESOLUTION NUMERIQUE DES EQUATIONS DE STOKES ET NAVIER-STOKES PAR LES METHODES SPECTRALES
Author: Jie ShenPublisher:
ISBN:
Category :
Languages : fr
Pages : 156
Book Description
PRESENTATION DES METHODES SPECTRALES POUR LA RESOLUTION DES EQUATIONS DE STOKES ET DE NAVIER-STOKES. CONSTRUCTION D'UN SCHEMA RESOLVANT RAPIDE DE HELMHOLTZ. APPROXIMATION DU PROBLEME DE STOKES PAR LA METHODE DE TYPE UZAWA ET A L'AIDE DE LA MATRICE D'INFLUENCE. RESULTATS THEORIQUES ET NUMERIQUES. APPROXIMATION DES EQUATIONS DE NAVIER-STOKES D'EVOLUTION A L'AIDE DE SCHEMAS INCONDITIONNELLEMENT STABLES ET CONVERGENTS