Etude De Quelques Problemes Dequations Aux Derivees Partielles Non Lineaires

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Nonlinear Evolution Equations and Related Topics

Author : Wolfgang Arendt
Publisher : Birkhäuser
ISBN 13 : 3034879245
Total Pages : 803 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Nonlinear Evolution Equations and Related Topics by : Wolfgang Arendt

Download or read book Nonlinear Evolution Equations and Related Topics written by Wolfgang Arendt and published by Birkhäuser. This book was released on 2012-12-06 with total page 803 pages. Available in PDF, EPUB and Kindle. Book excerpt: Philippe Bénilan was a most original and charismatic mathematician who had a deep and decisive impact on the theory of Nonlinear Evolution Equations. Dedicated to him, Nonlinear Evolution Equations and Related Topics contains research papers written by highly distinguished mathematicians. They are all related to Philippe Benilan's work and reflect the present state of this most active field. The contributions cover a wide range of nonlinear and linear equations.

Navier–Stokes Equations

Author : Roger Temam
Publisher : American Mathematical Society
ISBN 13 : 1470477866
Total Pages : 426 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Navier–Stokes Equations by : Roger Temam

Download or read book Navier–Stokes Equations written by Roger Temam and published by American Mathematical Society. This book was released on 2024-05-24 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.

Singular Perturbations and Boundary Layer Theory

Author : C.M. Brauner
Publisher : Springer
ISBN 13 : 3540373403
Total Pages : 551 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Singular Perturbations and Boundary Layer Theory by : C.M. Brauner

Download or read book Singular Perturbations and Boundary Layer Theory written by C.M. Brauner and published by Springer. This book was released on 2006-11-15 with total page 551 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Inequalities in Mechanics and Physics

Author : G. Duvant
Publisher : Springer Science & Business Media
ISBN 13 : 3642661653
Total Pages : 415 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Inequalities in Mechanics and Physics by : G. Duvant

Download or read book Inequalities in Mechanics and Physics written by G. Duvant and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. We begin by giving a simple example of a partial differential inequality that occurs in an elementary physics problem. We consider a fluid with pressure u(x, t) at the point x at the instant t that 3 occupies a region Q oflR bounded by a membrane r of negligible thickness that, however, is semi-permeable, i. e., a membrane that permits the fluid to enter Q freely but that prevents all outflow of fluid. One can prove then (cf. the details in Chapter 1, Section 2.2.1) that au (aZu azu aZu) (1) in Q, t>o, -a - du = g du = -a z + -a z + -a z t Xl X X3 z l g a given function, with boundary conditions in the form of inequalities u(X,t»o => au(x,t)/an=O, XEr, (2) u(x,t)=o => au(x,t)/an?:O, XEr, to which is added the initial condition (3) u(x,O)=uo(x). We note that conditions (2) are non linear; they imply that, at each fixed instant t, there exist on r two regions r~ and n where u(x, t) =0 and au (x, t)/an = 0, respectively. These regions are not prescribed; thus we deal with a "free boundary" problem.

Dual Variational Approach to Nonlinear Diffusion Equations

Author : Gabriela Marinoschi
Publisher : Springer Nature
ISBN 13 : 3031245830
Total Pages : 223 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis Dual Variational Approach to Nonlinear Diffusion Equations by : Gabriela Marinoschi

Download or read book Dual Variational Approach to Nonlinear Diffusion Equations written by Gabriela Marinoschi and published by Springer Nature. This book was released on 2023-03-28 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph explores a dual variational formulation of solutions to nonlinear diffusion equations with general nonlinearities as null minimizers of appropriate energy functionals. The author demonstrates how this method can be utilized as a convenient tool for proving the existence of these solutions when others may fail, such as in cases of evolution equations with nonautonomous operators, with low regular data, or with singular diffusion coefficients. By reducing it to a minimization problem, the original problem is transformed into an optimal control problem with a linear state equation. This procedure simplifies the proof of the existence of minimizers and, in particular, the determination of the first-order conditions of optimality. The dual variational formulation is illustrated in the text with specific diffusion equations that have general nonlinearities provided by potentials having various stronger or weaker properties. These equations can represent mathematical models to various real-world physical processes. Inverse problems and optimal control problems are also considered, as this technique is useful in their treatment as well.

Nonlinear Operators and the Calculus of Variations

Author : J.P. Gossez
Publisher : Springer
ISBN 13 : 3540380752
Total Pages : 247 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Nonlinear Operators and the Calculus of Variations by : J.P. Gossez

Download or read book Nonlinear Operators and the Calculus of Variations written by J.P. Gossez and published by Springer. This book was released on 2006-11-14 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear Hyperbolic Problems

Author : Claude Carasso
Publisher : Springer
ISBN 13 : 3540478051
Total Pages : 356 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Nonlinear Hyperbolic Problems by : Claude Carasso

Download or read book Nonlinear Hyperbolic Problems written by Claude Carasso and published by Springer. This book was released on 2006-11-15 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of nonlinear hyperbolic problems has been expanding very fast over the past few years, and has applications - actual and potential - in aerodynamics, multifluid flows, combustion, detonics amongst other. The difficulties that arise in application are of theoretical as well as numerical nature. In fact, the papers in this volume of proceedings deal to a greater extent with theoretical problems emerging in the resolution of nonlinear hyperbolic systems than with numerical methods. The volume provides an excellent up-to-date review of the current research trends in this area.

Les équations aux dérivées partielles

Author : Centre national de la recherche scientifique (France)
Publisher :
ISBN 13 :
Total Pages : 232 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Les équations aux dérivées partielles by : Centre national de la recherche scientifique (France)

Download or read book Les équations aux dérivées partielles written by Centre national de la recherche scientifique (France) and published by . This book was released on 1963 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Annales scientifiques de l'École normale supérieure

Author : École normale supérieure (France)
Publisher :
ISBN 13 :
Total Pages : 464 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Annales scientifiques de l'École normale supérieure by : École normale supérieure (France)

Download or read book Annales scientifiques de l'École normale supérieure written by École normale supérieure (France) and published by . This book was released on 1915 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Hardy Inequalities and Applications

Author : Nikolai Kutev
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110980371
Total Pages : 158 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis Hardy Inequalities and Applications by : Nikolai Kutev

Download or read book Hardy Inequalities and Applications written by Nikolai Kutev and published by Walter de Gruyter GmbH & Co KG. This book was released on 2022-10-24 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book derives new Hardy inequalities with double singular weights - at an interior point and on the boundary of the domain. We focus on the optimality of Hardy constant and on its attainability. Applications include: results about existence\nonexistence and controllability for parabolic equations with double singular potentials; estimates from below of the fi rst eigenvalue of p-Laplacian with Dirichlet boundary conditions.

Contemporary Developments in Continuum Mechanics and Partial Differential Equations

Author :
Publisher : Elsevier
ISBN 13 : 0080871410
Total Pages : 623 pages
Book Rating : 4.0/5 (88 download)

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Book Synopsis Contemporary Developments in Continuum Mechanics and Partial Differential Equations by :

Download or read book Contemporary Developments in Continuum Mechanics and Partial Differential Equations written by and published by Elsevier. This book was released on 1978-01-01 with total page 623 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contemporary Developments in Continuum Mechanics and Partial Differential Equations

Revue Semestrielle Des Publications Mathématiques

Author :
Publisher :
ISBN 13 :
Total Pages : 362 pages
Book Rating : 4.:/5 (43 download)

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Book Synopsis Revue Semestrielle Des Publications Mathématiques by :

Download or read book Revue Semestrielle Des Publications Mathématiques written by and published by . This book was released on 1911 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Revue Semestrielle Des Publications Mathematiques

Author :
Publisher :
ISBN 13 :
Total Pages : 730 pages
Book Rating : 4.A/5 ( download)

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Book Synopsis Revue Semestrielle Des Publications Mathematiques by :

Download or read book Revue Semestrielle Des Publications Mathematiques written by and published by . This book was released on 1895 with total page 730 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Methods of Game and Economic Theory

Author : Jean-Pierre Aubin
Publisher : Courier Corporation
ISBN 13 : 048646265X
Total Pages : 658 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis Mathematical Methods of Game and Economic Theory by : Jean-Pierre Aubin

Download or read book Mathematical Methods of Game and Economic Theory written by Jean-Pierre Aubin and published by Courier Corporation. This book was released on 2007-01-01 with total page 658 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical economics and game theory approached with the fundamental mathematical toolbox of nonlinear functional analysis are the central themes of this text. Both optimization and equilibrium theories are covered in full detail. The book's central application is the fundamental economic problem of allocating scarce resources among competing agents, which leads to considerations of the interrelated applications in game theory and the theory of optimization. Mathematicians, mathematical economists, and operations research specialists will find that it provides a solid foundation in nonlinear functional analysis. This text begins by developing linear and convex analysis in the context of optimization theory. The treatment includes results on the existence and stability of solutions to optimization problems as well as an introduction to duality theory. The second part explores a number of topics in game theory and mathematical economics, including two-person games, which provide the framework to study theorems of nonlinear analysis. The text concludes with an introduction to non-linear analysis and optimal control theory, including an array of fixed point and subjectivity theorems that offer powerful tools in proving existence theorems.

Nonlinear Differential Equation Models

Author : Ansgar Jüngel
Publisher : Springer Science & Business Media
ISBN 13 : 3709106095
Total Pages : 195 pages
Book Rating : 4.7/5 (91 download)

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Book Synopsis Nonlinear Differential Equation Models by : Ansgar Jüngel

Download or read book Nonlinear Differential Equation Models written by Ansgar Jüngel and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers in this book originate from lectures which were held at the "Vienna Workshop on Nonlinear Models and Analysis" – May 20–24, 2002. They represent a cross-section of the research field Applied Nonlinear Analysis with emphasis on free boundaries, fully nonlinear partial differential equations, variational methods, quasilinear partial differential equations and nonlinear kinetic models.

Progress in Aeronautical Sciences

Author : D. Küchemann
Publisher : Elsevier
ISBN 13 : 1483155102
Total Pages : 327 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis Progress in Aeronautical Sciences by : D. Küchemann

Download or read book Progress in Aeronautical Sciences written by D. Küchemann and published by Elsevier. This book was released on 2016-07-04 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: Progress in Aeronautical Sciences, Volume 5, contains six articles that belong to the field of aerodynamics. This accords well with one of the declared purposes of this series, to serve the general reader with accounts of those parts of the subject remote from his specialized interest, not only because his field of specialization is likely to change during his career but also because we are all students of one science. The first paper gives a comprehensive survey of low-speed wind-tunnels, those early tools of the aerodynamicist which seem likely to retain their importance indefinitely. The second deals with a basic feature of the separation of a laminar boundary layer from a wall in two-dimensional flow: the bubble. The third reports on the more theoretical aspects of the IUTAM Symposium Transsonicum, which afforded a reunion of almost everyone who at one time or another had contributed to our knowledge of flows of mixed type. The fourth paper is concerned with a particular aspect of the theory of transonic flows and gives an exhaustive survey of this work. The fifth paper reports on a symposium devoted to rarefied gas dynamics. The final paper presents corrections to an article on the theory of sonic bangs, published in Volume 1 of this series.

Incompressible Bipolar and Non-Newtonian Viscous Fluid Flow

Author : Hamid Bellout
Publisher : Springer Science & Business Media
ISBN 13 : 3319008919
Total Pages : 583 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Incompressible Bipolar and Non-Newtonian Viscous Fluid Flow by : Hamid Bellout

Download or read book Incompressible Bipolar and Non-Newtonian Viscous Fluid Flow written by Hamid Bellout and published by Springer Science & Business Media. This book was released on 2013-11-19 with total page 583 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of incompressible multipolar viscous fluids is a non-Newtonian model of fluid flow, which incorporates nonlinear viscosity, as well as higher order velocity gradients, and is based on scientific first principles. The Navier-Stokes model of fluid flow is based on the Stokes hypothesis, which a priori simplifies and restricts the relationship between the stress tensor and the velocity. By relaxing the constraints of the Stokes hypothesis, the mathematical theory of multipolar viscous fluids generalizes the standard Navier-Stokes model. The rigorous theory of multipolar viscous fluids is compatible with all known thermodynamical processes and the principle of material frame indifference; this is in contrast with the formulation of most non-Newtonian fluid flow models which result from ad hoc assumptions about the relation between the stress tensor and the velocity. The higher-order boundary conditions, which must be formulated for multipolar viscous flow problems, are a rigorous consequence of the principle of virtual work; this is in stark contrast to the approach employed by authors who have studied the regularizing effects of adding artificial viscosity, in the form of higher order spatial derivatives, to the Navier-Stokes model. A number of research groups, primarily in the United States, Germany, Eastern Europe, and China, have explored the consequences of multipolar viscous fluid models; these efforts, and those of the authors, which are described in this book, have focused on the solution of problems in the context of specific geometries, on the existence of weak and classical solutions, and on dynamical systems aspects of the theory. This volume will be a valuable resource for mathematicians interested in solutions to systems of nonlinear partial differential equations, as well as to applied mathematicians, fluid dynamicists, and mechanical engineers with an interest in the problems of fluid mechanics.