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Equations De Stokes Et De Navier Stokes Avec Des Conditions Aux Limites De Navier
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Book Synopsis Equations de Stokes et de Navier-Stokes avec des conditions aux limites de Navier by : Ahmed Rejaiba
Download or read book Equations de Stokes et de Navier-Stokes avec des conditions aux limites de Navier written by Ahmed Rejaiba and published by . This book was released on 2014 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Résumé : Cette thèse est consacrée à l'étude des équations de Stokes et de Navier-Stokes avec des conditions aux limites de Navier dans un ouvert borné de . Le manuscrit ici est composé de trois chapitres. Dans le premier, nous considérons les équations de Stokes stationnaires avec des conditions aux limites de Navier. Nous démontrons l'existence, l'unicité et la régularité de la solution d'abord dans un cadre hilbertien puis dans le cadre de la théorie . Nous traitons aussi le cas de solutions très faibles. Dans le deuxième chapitre, nous nous intéressons aux équations de Navier-Stokes avec la condition de Navier. Sous certaines hypothèses sur les données, nous démontrons l'existence de solution faible dans , avec en utilisant un théorème du point fixe appliqué à un problème d'Oseen. Nous démontrons examinons ensuite les questions de régularité des solutions en particulier dans . Dans le dernier chapitre, nous étudions le problème d'évolution de Stokes avec la condition de Navier. La résolution de ce problème se fait au moyen de la théorie des semi-groupes analytiques qui jouent un rôle important pour établir l'existence et l'unicité de la solution dans le cas homogène. Nous traitons le cas du problème non homogène par le biais des puissances imaginaires de l'opérateur de Stokes.
Book Synopsis Theory of the Navier-Stokes Equations by : John Groves Heywood
Download or read book Theory of the Navier-Stokes Equations written by John Groves Heywood and published by World Scientific. This book was released on 1998 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume collects the articles presented at the Third International Conference on ?The Navier-Stokes Equations: Theory and Numerical Methods?, held in Oberwolfach, Germany. The articles are important contributions to a wide variety of topics in the Navier-Stokes theory: general boundary conditions, flow exterior to an obstacle, conical boundary points, the controllability of solutions, compressible flow, non-Newtonian flow, magneto-hydrodynamics, thermal convection, the interaction of fluids with elastic solids, the regularity of solutions, and Rothe's method of approximation.
Book Synopsis The Navier-Stokes Equations II - Theory and Numerical Methods by : John G. Heywood
Download or read book The Navier-Stokes Equations II - Theory and Numerical Methods written by John G. Heywood and published by Springer. This book was released on 2006-11-14 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: V.A. Solonnikov, A. Tani: Evolution free boundary problem for equations of motion of viscous compressible barotropic liquid.- W. Borchers, T. Miyakawa:On some coercive estimates for the Stokes problem in unbounded domains.- R. Farwig, H. Sohr: An approach to resolvent estimates for the Stokes equations in L(q)-spaces.- R. Rannacher: On Chorin's projection method for the incompressible Navier-Stokes equations.- E. S}li, A. Ware: Analysis of the spectral Lagrange-Galerkin method for the Navier-Stokes equations.- G. Grubb: Initial value problems for the Navier-Stokes equations with Neumann conditions.- B.J. Schmitt, W. v.Wahl: Decomposition of solenoidal fields into poloidal fields, toroidal fields and the mean flow. Applications to the Boussinesq-equations.- O. Walsh: Eddy solutions of the Navier-Stokesequations.- W. Xie: On a three-norm inequality for the Stokes operator in nonsmooth domains.
Book Synopsis Mathematical Problems Relating To The Navier-stokes Equations by : Giovanni Paolo Galdi
Download or read book Mathematical Problems Relating To The Navier-stokes Equations written by Giovanni Paolo Galdi and published by World Scientific. This book was released on 1992-08-14 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contents: A New Approach to the Helmholtz Decomposition and the Neumann Problem in Lq-Spaces for Bounded and Exterior Domains (C G Simader & H Sohr)On the Energy Equation and on the Uniqueness for D-Solutions to Steady Navier-Stokes Equations in Exterior Domains (G P Galdi)On the Asymptotic Structure of D-Solutions to Steady Navier-Stokes Equations in Exterior Domains (G P Galdi)On the Solvability of an Evolution Free Boundary Problem for the Navier-Stokes Equation in Hölder Spaces of Functions (I S Mogilevskii & V A Solonnikov) Readership: Applied mathematicians.
Book Synopsis The Equations of Navier-Stokes and Abstract Parabolic Equations by : Wolf von Wahl
Download or read book The Equations of Navier-Stokes and Abstract Parabolic Equations written by Wolf von Wahl and published by Springer-Verlag. This book was released on 2013-07-02 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Navier-Stokes Equations Theory and Numerical Methods by : John G. Heywood
Download or read book The Navier-Stokes Equations Theory and Numerical Methods written by John G. Heywood and published by Springer. This book was released on 2006-11-14 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings contain original (refereed) research articles by specialists from many countries, on a wide variety of aspects of Navier-Stokes equations. Additionally, 2 survey articles intended for a general readership are included: one surveys the present state of the subject via open problems, and the other deals with the interplay between theory and numerical analysis.
Book Synopsis Navier-stokes Equations In Planar Domains by : Matania Ben-artzi
Download or read book Navier-stokes Equations In Planar Domains written by Matania Ben-artzi and published by World Scientific. This book was released on 2013-03-07 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume deals with the classical Navier-Stokes system of equations governing the planar flow of incompressible, viscid fluid. It is a first-of-its-kind book, devoted to all aspects of the study of such flows, ranging from theoretical to numerical, including detailed accounts of classical test problems such as “driven cavity” and “double-driven cavity”.A comprehensive treatment of the mathematical theory developed in the last 15 years is elaborated, heretofore never presented in other books. It gives a detailed account of the modern compact schemes based on a “pure streamfunction” approach. In particular, a complete proof of convergence is given for the full nonlinear problem.This volume aims to present a variety of numerical test problems. It is therefore well positioned as a reference for both theoretical and applied mathematicians, as well as a text that can be used by graduate students pursuing studies in (pure or applied) mathematics, fluid dynamics and mathematical physics./a
Book Synopsis Navier-Stokes Equations and Related Nonlinear Problems by : H. Amann
Download or read book Navier-Stokes Equations and Related Nonlinear Problems written by H. Amann and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-05-18 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "Navier-Stokes Equations and Related Nonlinear Problems".
Book Synopsis Turbulence and Navier Stokes Equations by : R. Temam
Download or read book Turbulence and Navier Stokes Equations written by R. Temam and published by Springer. This book was released on 2006-11-14 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Quelques problèmes aux limites pour les équations de Navier-Stokes by : Vincent Girinon
Download or read book Quelques problèmes aux limites pour les équations de Navier-Stokes written by Vincent Girinon and published by . This book was released on 2008 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cette thèse, composée de quatre chapitres, aborde sur quelques exemples le problème de l'existence de solutions aux équations de Navier-Stokes pour le modèle de l'écoulement isentropique d'un gaz parfait. Le premier chapitre regroupe les théorèmes classiques utilisés pour étudier les équations de Navier-Stokes. Nous y avons ajouté quelques résultats, spécifiquement développés pour ce travail, qui concernent l'équation de conservation de la masse. Dans le second chapitre, nous nous intéressons à un écoulement bidimensionnel entre deux parois parallèles. Le domaine sur lequel sont étudiées les équations est alors un rectangle et le système d'équations est complété par des conditions initiales et des conditions limites portant sur la densité et la vitesse du gaz. Nous fournissons alors une preuve de l'existence d'une solution à ce problème en nous appuyant sur une extension convenable des conditions de bord. Dans le troisième chapitre, en nous inspirant des idées exploitées au chapitre précédent, nous développons l'étude de deux nouveaux exemples. Le premier concerne un problème d'écoulement autour d'une aile d'avion et le second exemple reprend le modèle du chapitre deux en modifiant la vitesse sur le bord du domaine. Le quatrième et dernier chapitre traite de l'existence d'une solution aux équations de Navier-Stokes linéarisées au voisinage d'une solution stationnaire. Nous prouvons un tel résultat dans le cas d'un écoulement semblable à celui étudié au chapitre deux. Enfin, nous terminons ce chapitre en démontrant le caractère exponentiellement stable du système étudié dans le cas monodimensionnel.
Book Synopsis Navier-Stokes Equations by : Roger Temam
Download or read book Navier-Stokes Equations written by Roger Temam and published by American Mathematical Soc.. This book was released on 2001-04-10 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 1977, the book is devoted to the theory and numerical analysis of the Navier-Stokes equations for viscous incompressible fluid. On the theoretical side, results related to the existence, the uniqueness, and, in some cases, the regularity of solutions are presented. On the numerical side, various approaches to the approximation of Navier-Stokes problems by discretization are considered, such as the finite dereference method, the finite element method, and the fractional steps method. The problems of stability and convergence for numerical methods are treated as completely as possible. The new material in the present book (as compared to the preceding 1984 edition) is an appendix reproducing a survey article written in 1998. This appendix touches upon a few aspects not addressed in the earlier editions, in particular a short derivation of the Navier-Stokes equations from the basic conservation principles in continuum mechanics, further historical perspectives, and indications on new developments in the area. The appendix also surveys some aspects of the related Euler equations and the compressible Navier-Stokes equations. The book is written in the style of a textbook and the author has attempted to make the treatment self-contained. It can be used as a textbook or a reference book for researchers. Prerequisites for reading the book include some familiarity with the Navier-Stokes equations and some knowledge of functional analysis and Sololev spaces.
Book Synopsis Navier—Stokes Equations by : Roger Temam
Download or read book Navier—Stokes Equations written by Roger Temam and published by Elsevier. This book was released on 2016-06-03 with total page 539 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Applied Analysis of the Navier-Stokes Equations by : Charles R. Doering
Download or read book Applied Analysis of the Navier-Stokes Equations written by Charles R. Doering and published by Cambridge University Press. This book was released on 1995 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introductory physical and mathematical presentation of the Navier-Stokes equations focuses on unresolved questions of the regularity of solutions in three spatial dimensions, and the relation of these issues to the physical phenomenon of turbulent fluid motion.
Book Synopsis Navier-Stokes Equations in Irregular Domains by : L. Stupelis
Download or read book Navier-Stokes Equations in Irregular Domains written by L. Stupelis and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 583 pages. Available in PDF, EPUB and Kindle. Book excerpt: The analytical basis of Navier-Stokes Equations in Irregular Domains is formed by coercive estimates, which enable proofs to be given of the solvability of the boundary value problems for Stokes and Navier-Stokes equations in weighted Sobolev and Hölder spaces, and the investigation of the smoothness of their solutions. This allows one to deal with the special problems that arise in the presence of edges or angular points in the plane case, at the boundary or noncompact boundaries. Such problems cannot be dealt with in any of the usual ways. Audience: Graduate students, research mathematicians and hydromechanicians whose work involves functional analysis and its applications to Navier-Stokes equations.
Book Synopsis Navier-Stokes Equations by : Peter Constantin
Download or read book Navier-Stokes Equations written by Peter Constantin and published by University of Chicago Press. This book was released on 2020-04-07 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: Both an original contribution and a lucid introduction to mathematical aspects of fluid mechanics, Navier-Stokes Equations provides a compact and self-contained course on these classical, nonlinear, partial differential equations, which are used to describe and analyze fluid dynamics and the flow of gases.
Book Synopsis The Navier-Stokes Equations by : Rodolfo Salvi
Download or read book The Navier-Stokes Equations written by Rodolfo Salvi and published by CRC Press. This book was released on 2001-09-27 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Contains proceedings of Varenna 2000, the international conference on theory and numerical methods of the navier-Stokes equations, held in Villa Monastero in Varenna, Lecco, Italy, surveying a wide range of topics in fluid mechanics, including compressible, incompressible, and non-newtonian fluids, the free boundary problem, and hydrodynamic potential theory."
Book Synopsis Accuracy of Least-squares Methods for the Navier-Stokes Equations by : Pavel B. Bochev
Download or read book Accuracy of Least-squares Methods for the Navier-Stokes Equations written by Pavel B. Bochev and published by . This book was released on 1993 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:
