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.

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.

Download or read book Quelques probl mes aux limites pour les quations 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.

Download or read book ETUDE DES EQUATIONS STATIONNAIRES DE STOKES ET NAVIER STOKES DANS DES DOMAINES EXTERIEURS written by FREDERIC.. ALLIOT and published by . This book was released on 1998 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: NOUS ETUDIONS QUELQUES PROBLEMES MATHEMATIQUES POSES PAR LA MODELISATION D'ECOULEMENTS DE FLUIDES VISQUEUX INCOMPRESSIBLES AUTOUR D'UN OBSTACLE BORNE, DANS L'APPROXIMATION STATIONNAIRE ET POUR UN FLUIDE AU REPOS A L'INFINI. ON DISPOSE ALORS DE MODELES CLASSIQUES AVEC LES SYSTEMES D'EQUATIONS AUX DERIVEES PARTIELLES DE STOKES (LINEAIRE) ET DE NAVIER-STOKES (NON-LINEAIRE), ICI POSES DANS DES DOMAINES EXTERIEURS. LA PREMIERE PARTIE EST CONSACREE AU PROBLEME DE STOKES. ON Y DISCUTE L'EXISTENCE ET L'UNICITE DES SOLUTIONS AVEC UNE CROISSANCE OU UNE DECROISSANCE DONNEE A L'INFINI GRACE A L'UTILISATION D'ESPACES DE SOBOLEV AVEC POIDS. NOUS OBTENONS DANS CERTAINS CAS DES DEVELOPPEMENTS ASYMPTOTIQUES DES SOLUTIONS. NOUS ETUDIONS AUSSI, DANS LE MEME CADRE FONCTIONNEL, QUELQUES PROPRIETES DES CHAMPS DE VECTEURS A DIVERGENCE NULLE. LES RESULTATS SONT ETABLIS TOUT D'ABORD DANS L'ESPACE ENTIER, PUIS DANS UN DOMAINE EXTERIEUR. LA SECONDE PARTIE EST DEDIEE AUX EQUATIONS STATIONNAIRES DE NAVIER-STOKES DANS DES DOMAINES EXTERIEURS. NOUS Y PROUVONS, EN DIMENSION TROIS, DES RESULTATS DE REGULARITE DES SOLUTIONS FAIBLES DE CE PROBLEME QUI PERMETTENT DE VERIFIER LA CONDITION DE REPOS A L'INFINI. EN DIMENSION DEUX, ON DETAILLE LES PROPRIETES ASYMPTOTIQUES D'UNE FAMILLE DE SOLUTIONS VERIFIANT CERTAINES CONDITIONS DE SYMETRIE. GRACE A UNE APPROCHE DIFFERENTE BASEE SUR LE THEOREME DE POINT FIXE DE BANACH, NOUS OBTENONS, EN DIMENSION TROIS ET POUR DES DONNEES SUFFISAMMENT PETITES, L'EXISTENCE ET L'UNICITE D'UNE SOLUTION QUI DECROIT RAPIDEMENT ET ETABLISSONS UN DEVELOPPEMENT ASYMPTOTIQUE DE CELLE-CI.

Download or read book quations de Stokes et d Oseen en domaine ext rieur avec diverses conditions aux limites written by Mohamed Meslameni and published by . This book was released on 2013 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: On s'intéresse aux équations stationnaires de Navier-Stokes linéarisées, il s'agit ici des équations d'Oseen et des équations de Stokes posées dans des domaines infinis, comme les domaines extérieurs, en dimension trois et l'espace tout entier. Le but est d'étudier l'existence de solutions généralisés et de solutions fortes dans un cadre général non nécessairement hilbertien. On s'intéresse aussi au cas des solutions très faibles. Dans ce travail, on considère aussi bien des conditions aux limites classiques de type Dirichlet que des conditions aux limites non standard portant sur certaines composantes du champ de vitesses, du tourbillon, voir du champ de pression. Les espaces de Sobolev classiques ne sont pas adaptés à l'étude de ces problèmes pour une telle géométrie. Pour une bonne analyse mathématique, nous avons choisi de travailler dans le cadre des espaces de Sobolev avec poids, ce qui permet en particulier de mieux contrôler le comportement à l'infini de la solution.

Download or read book On a non linear mixed problem for the Navier Stokes equations written by Giovanni Prouse and published by . This book was released on 1970 with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt: The report contains three papers concerning the solution of Navier-Stokes equations with existence and uniqueness theorems.

Download or read book Advances in Mathematical Fluid Mechanics written by Josef Malek and published by Springer. This book was released on 2000-10-04 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of six survey contributions that are focused on several open problems of theoretical fluid mechanics both for incompressible and compressible fluids. The first article "Viscous flows in Besov spaces" by M area Cannone ad dresses the problem of global existence of a uniquely defined solution to the three-dimensional Navier-Stokes equations for incompressible fluids. Among others the following topics are intensively treated in this contribution: (i) the systematic description of the spaces of initial conditions for which there exists a unique local (in time) solution or a unique global solution for small data, (ii) the existence of forward self-similar solutions, (iii) the relation of these results to Leray's weak solutions and backward self-similar solutions, (iv) the extension of the results to further nonlinear evolutionary problems. Particular attention is paid to the critical spaces that are invariant under the self-similar transform. For sufficiently small Reynolds numbers, the conditional stability in the sense of Lyapunov is also studied. The article is endowed by interesting personal and historical comments and an exhaustive bibliography that gives the reader a complete picture about available literature. The papers "The dynamical system approach to the Navier-Stokes equa tions for compressible fluids" by Eduard Feireisl, and "Asymptotic problems and compressible-incompressible limits" by Nader Masmoudi are devoted to the global (in time) properties of solutions to the Navier-Stokes equa and three tions for compressible fluids. The global (in time) analysis of two dimensional motions of compressible fluids were left open for many years.

Download or read book Dynamique Non lin aire Et Le Chaos written by and published by . This book was released on 1993 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Boundary Layer Theory written by Hermann Schlichting (Deceased) and published by Springer. This book was released on 2016-10-04 with total page 814 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new edition of the near-legendary textbook by Schlichting and revised by Gersten presents a comprehensive overview of boundary-layer theory and its application to all areas of fluid mechanics, with particular emphasis on the flow past bodies (e.g. aircraft aerodynamics). The new edition features an updated reference list and over 100 additional changes throughout the book, reflecting the latest advances on the subject.

Download or read book Optimization Optimal Control and Partial Differential Equations written by Viorel Barbu and published by Springer Science & Business Media. This book was released on 1992 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: Variational methods in mechanics and physical models.- Fluid flows in dielectric porous media.- The impact of a jet with two fluids on a porous wall.- Critical point methods in nonlinear eigenvalue problems with discontinuities.- Maximum principles for elliptic systems.- Exponential dichotomy of evolution operators in Banach spaces.- Asymptotic properties of solutions to evolution equations.- On some nonlinear elastic waves biperiodical or almost periodical in mechanics and extensions hyperbolic nonlinear partial differential equations.- The controllability of infinite dimensional and distributed parameter systems.- Singularities in boundary value problems and exact controllability of hyperbolic systems.- Exact controllability of a shallow shell model.- Inverse problem: Identification of a melting front in the 2D case.- Micro-local approach to the control for the plates equation.- Bounded solutions for controlled hyperbolic systems.- Controllability and turbulence.- The H? control problem.- The H? boundary control with state feedback; the hyperbolic case.- Remarks on the theory of robust control.- The dynamic programming method.- Optimality and characteristics of Hamilton-Jacobi-Bellman equations.- Verification theorems of dynamic programming type in optimal control.- Isaacs' equations for value-functions of differential games.- Optimal control for robot manipulators.- Control theory and environmental problems: Slow fast models for management of renewable ressources.- On the Riccati equations of stochastic control.- Optimal control of nonlinear partial differential equations.- A boundary Pontryagin's principle for the optimal control of state-constrained elliptic systems.- Controllability properties for elliptic systems, the fictitious domain method and optimal shape design problems.- Optimal control for elliptic equation and applications.- Inverse problems for variational inequalities.- The variation of the drag with respect to the domain in Navier-Stokes flow, .- Mathematical programming and nonsmooth optimization.- Scalar minimax properties in vectorial optimization.- Least-norm regularization for weak two-level optimization problems.- Continuity of the value function with respect to the set of constraints.- On integral inequalities involving logconcave functions.- Numerical solution of free boundary problems in solids mechanics.- Authors' index

Download or read book Elliptic Boundary Problems for Dirac Operators written by Bernhelm Booß-Bavnbek and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elliptic boundary problems have enjoyed interest recently, espe cially among C* -algebraists and mathematical physicists who want to understand single aspects of the theory, such as the behaviour of Dirac operators and their solution spaces in the case of a non-trivial boundary. However, the theory of elliptic boundary problems by far has not achieved the same status as the theory of elliptic operators on closed (compact, without boundary) manifolds. The latter is nowadays rec ognized by many as a mathematical work of art and a very useful technical tool with applications to a multitude of mathematical con texts. Therefore, the theory of elliptic operators on closed manifolds is well-known not only to a small group of specialists in partial dif ferential equations, but also to a broad range of researchers who have specialized in other mathematical topics. Why is the theory of elliptic boundary problems, compared to that on closed manifolds, still lagging behind in popularity? Admittedly, from an analytical point of view, it is a jigsaw puzzle which has more pieces than does the elliptic theory on closed manifolds. But that is not the only reason.

Download or read book Fluid Dynamics of Viscoelastic Liquids written by Daniel D. Joseph and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 772 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about two special topics in rheological fluid mechanics: the elasticity of liquids and asymptotic theories of constitutive models. The major emphasis of the book is on the mathematical and physical consequences of the elasticity of liquids; seventeen of twenty chapters are devoted to this. Constitutive models which are instantaneously elastic can lead to some hyperbolicity in the dynamics of flow, waves of vorticity into rest (known as shear waves), to shock waves of vorticity or velocity, to steady flows of transonic type or to short wave instabilities which lead to ill-posed problems. Other kinds of models, with small Newtonian viscosities, give rise to perturbed instantaneous elasticity, associated with smoothing of discontinuities as in gas dynamics. There is no doubt that liquids will respond like elastic solids to impulses which are very rapid compared to the time it takes for the molecular order associated with short range forces in the liquid, to relax. After this, all liquids look viscous with signals propagating by diffusion rather than by waves. For small molecules this time of relaxation is estimated as lQ-13 to 10-10 seconds depending on the fluids. Waves associated with such liquids move with speeds of 1 QS cm/s, or even faster. For engineering applications the instantaneous elasticity of these fluids is of little interest; the practical dynamics is governed by diffusion, ·say, by the Navier-Stokes equations. On the other hand, there are other liquids which are known to have much longer times of relaxation.

Download or read book Physics on Manifolds written by M. Flato and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the Colloquium "Analysis, Manifolds and Physics" organized in honour of Yvonne Choquet-Bruhat by her friends, collaborators and former students, on June 3, 4 and 5, 1992 in Paris. Its title accurately reflects the domains to which Yvonne Choquet-Bruhat has made essential contributions. Since the rise of General Relativity, the geometry of Manifolds has become a non-trivial part of space-time physics. At the same time, Functional Analysis has been of enormous importance in Quantum Mechanics, and Quantum Field Theory. Its role becomes decisive when one considers the global behaviour of solutions of differential systems on manifolds. In this sense, General Relativity is an exceptional theory in which the solutions of a highly non-linear system of partial differential equations define by themselves the very manifold on which they are supposed to exist. This is why a solution of Einstein's equations cannot be physically interpreted before its global behaviour is known, taking into account the entire hypothetical underlying manifold. In her youth, Yvonne Choquet-Bruhat contributed in a spectacular way to this domain stretching between physics and mathematics, when she gave the proof of the existence of solutions to Einstein's equations on differential manifolds of a quite general type. The methods she created have been worked out by the French school of mathematics, principally by Jean Leray. Her first proof of the local existence and uniqueness of solutions of Einstein's equations inspired Jean Leray's theory of general hyperbolic systems.

Download or read book A History of the Theory of Elasticity and of the Strength of Materials written by Isaac Todhunter and published by . This book was released on 1886 with total page 970 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Distribution of Prime Numbers written by Albert Edward Ingham and published by Cambridge University Press. This book was released on 1990-09-28 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 1934, this volume presents the theory of the distribution of the prime numbers in the series of natural numbers. Despite being long out of print, it remains unsurpassed as an introduction to the field.

Download or read book Ginzburg Landau Vortices written by Fabrice Bethuel and published by Birkhäuser. This book was released on 2017-09-21 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is concerned with the study in two dimensions of stationary solutions of uɛ of a complex valued Ginzburg-Landau equation involving a small parameter ɛ. Such problems are related to questions occurring in physics, e.g., phase transition phenomena in superconductors and superfluids. The parameter ɛ has a dimension of a length which is usually small. Thus, it is of great interest to study the asymptotics as ɛ tends to zero. One of the main results asserts that the limit u-star of minimizers uɛ exists. Moreover, u-star is smooth except at a finite number of points called defects or vortices in physics. The number of these defects is exactly the Brouwer degree – or winding number – of the boundary condition. Each singularity has degree one – or as physicists would say, vortices are quantized. The material presented in this book covers mostly original results by the authors. It assumes a moderate knowledge of nonlinear functional analysis, partial differential equations, and complex functions. This book is designed for researchers and graduate students alike, and can be used as a one-semester text. The present softcover reprint is designed to make this classic text available to a wider audience.

Download or read book The Number System written by H. A. Thurston and published by Courier Corporation. This book was released on 2012-10-23 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores arithmetic's underlying concepts and their logical development, in addition to a detailed, systematic construction of the number systems of rational, real, and complex numbers. 1956 edition.