In this book the author presents the dynamical systems in infinite dimension, especially those generated by dissipative partial differential equations. This book attempts a systematic study of infinite dimensional dynamical systems generated by dissipative evolution partial differential equations arising in mechanics and physics and in other areas of sciences and technology. This second edition has been updated and extended.

Infinite-Dimensional Dynamical Systems in Mechanics and Physics (Applied Mathematical Sciences, 68)

Témam, Roger

Reference

Springer

This third revised edition contains an expanded bibliography and has been brought up to date with reviews of recent progress.

Navier-Stokes equations: Theory and numerical analysis (Studies in mathematics and its applications)

Science & Math

Mathematics

North-Holland Pub. Co.

Navier-Stokes Equations: Theory and Numerical Analysis (STUDIES IN MATHEMATICS AND ITS APPLICATIONS)

Elsevier Science Ltd.

Mathematical Problems in Plasticity (Modern Applied Mathematics Series)

John Wiley&Sons

This study of the problem of the equilibrium of a perfectly plastic body under specific conditions employs tools and methods that can be applied to other areas, including the mechanics of fracture and certain optimal control problems. The three-part approach begins with an exploration of variational problems in plasticity theory, covering function spaces, concepts and results of convex analysis, formulation and duality of variational problems, limit analysis, and relaxation of the boundary condition. The second part examines the solution of variational problems in the finite-energy spaces; its topics include relaxation of the strain problem, duality between the generalized stresses and strains, and the existence of solutions to the generalized strain problem. The third and final part addresses asymptotic problems and problems in the theory of plates. The text includes a substantial bibliography and a new Preface and appendix by the author.

Mathematical Problems in Plasticity (Dover Books on Physics)

Physics

Dover `

Temam and Miranville present core topics within the general themes of fluid and solid mechanics. The brisk style allows the text to cover a wide range of topics including viscous flow, magnetohydrodynamics, atmospheric flows, shock equations, turbulence, nonlinear solid mechanics, solitons, and the nonlinear Schrödinger equation. This second edition will be a unique resource for those studying continuum mechanics at the advanced undergraduate and beginning graduate level whether in engineering, mathematics, physics or the applied sciences. Exercises and hints for solutions have been added to the majority of chapters, and the final part on solid mechanics has been substantially expanded. These additions have now made it appropriate for use as a textbook, but it also remains an ideal reference book for students and anyone interested in continuum mechanics.

Mathematical Modeling in Continuum Mechanics

Miranville, Alain

Cambridge University Press

This book describes the implementation of multilevel methods for the numerical simulation of turbulent flows. The general ideas for the algorithms presented stem from dynamical systems theory and are based on the decomposition of the unknown function into two or more arrays corresponding to different scales in the Fourier space. Before describing in detail the numerical algorithm, survey chapters on the mathematical theory of the Navier-Stokes equations and on the physics of the conventional theory of turbulence are included. The multilevel methods are applied here to the simulation of homogeneous isotropic turbulent flows as well as turbulent channel flows. The implementation issues are discussed in detail and numerical simulations of the flows cited above are presented and analyzed. The methods have been applied in the context of the direct numerical simulation and are therefore compared to such simulations.

Dynamic Multilevel Methods and the Numerical Simulation of Turbulence

Dubois, Thierry

Jauberteau, François

Continuum mechanics is widely taught to graduate students in applied mathematics, physics, and engineering, providing the basis for further study in fluid and solid mechanics. Presentations of the subject, however, vary greatly in their level of formalism, being either engineering and example oriented or mathematically over-sophisticated. Temam and Miranville provide a rigorous presentation of the underlying mathematics and physics of the problem, avoiding unnecessary use of function spaces. The authors then build on this base to present core topics within the general themes of fluid and solid mechanics. The brisk style allows the text to cover a wide range of topics, including: viscous flow, magnetohydrodynamics, atmospheric flows, shock equations, turbulence, nonlinear solid mechanics, solitons, and the nonlinear Schrödinger equation. This original text should be a unique resource for those studying continuum mechanics at the advanced undergraduate and beginning graduate level, whether in engineering, mathematics, physics, or the applied sciences.

This second edition, like the first, attempts to arrive as simply as possible at some central problems in the Navier-Stokes equations in the following areas: existence, uniqueness, and regularity of solutions in space dimensions two and three; large time behavior of solutions and attractors; and numerical analysis of the Navier-Stokes equations. Since publication of the first edition of these lectures in 1983, there has been extensive research in the area of inertial manifolds for Navier-Stokes equations. These developments are addressed in a new section devoted entirely to inertial manifolds.

Navier-Stokes Equations and Nonlinear Functional Analysis (CBMS-NSF Regional Conference Series in Applied Mathematics, Series Number 66)

Society for Industrial and Applied Mathematics

No one working in duality should be without a copy of Convex Analysis and Variational Problems. This book contains different developments of infinite dimensional convex programming in the context of convex analysis, including duality, minmax and Lagrangians, and convexification of nonconvex optimization problems in the calculus of variations (infinite dimension). It also includes the theory of convex duality applied to partial differential equations; no other reference presents this in a systematic way. The minmax theorems contained in this book have many useful applications, in particular the robust control of partial differential equations in finite time horizon. First published in English in 1976, this SIAM Classics in Applied Mathematics edition contains the original text along with a new preface and some additional references.

Convex Analysis and Variational Problems (Classics in Applied Mathematics, Series Number 28)

Ekeland, Ivar

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Books by Témam, Roger

See the best price to sell, buy, or rent books by Témam, Roger. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Infinite-Dimensional Dynamical Systems in Mechanics and Physics (Applied Mathematical Sciences, 68)

Navier-Stokes equations: Theory and numerical analysis (Studies in mathematics and its applications)

Navier-Stokes Equations: Theory and Numerical Analysis (STUDIES IN MATHEMATICS AND ITS APPLICATIONS)

Mathematical Problems in Plasticity (Modern Applied Mathematics Series)

Mathematical Problems in Plasticity (Dover Books on Physics)

Mathematical Modeling in Continuum Mechanics

Dynamic Multilevel Methods and the Numerical Simulation of Turbulence

Mathematical Modeling in Continuum Mechanics

Navier-Stokes Equations and Nonlinear Functional Analysis (CBMS-NSF Regional Conference Series in Applied Mathematics, Series Number 66)

Convex Analysis and Variational Problems (Classics in Applied Mathematics, Series Number 28)