G.P. Galdi's Books

Recent Developments in Theoretical Fluid Mechanics

Winter School, Paseky, 1992

By: G P Galdi,J. Necas

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Recent Developments in Theoretical Fluid Mechanics

Winter School, Paseky, 1992

By: G P Galdi,J. Necas

Including previously unpublished, original research material, this comprehensive book analyses topics of fundamental importance in theoretical fluid mechanics. The five papers appearing in this volume are centred around the mathematical theory of the Navier-Stokes equations (incompressible and compressible) and certain selected non-Newtonian modifications.

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Page Count

176

Publisher

CRC Press

Published Date

ISBN 10

1000941019

ISBN 13

9781000941012

Mathematical Theory in Fluid Mechanics

By: G P Galdi,Josef Malek,J. Necas

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Mathematical Theory in Fluid Mechanics

By: G P Galdi,Josef Malek,J. Necas

This volume consists of four contributions that are based on a series of lectures delivered by Jens Frehse. Konstantin Pikeckas, K.R. Rajagopal and Wolf von Wahl t the Fourth Winter School in Mathematical Theory in Fluid Mechanics, held in Paseky, Czech Republic, from December 3-9, 1995. In these papers the authors present the latest research and updated surveys of relevant topics in the various areas of theoretical fluid mechanics. Specifically, Frehse and Ruzicka study the question of the existence of a regular solution to Navier-Stokes equations in five dimensions by means of weighted estimates. Pileckas surveys recent results regarding the solvability of the Stokes and Navier-Stokes system in domains with outlets at infinity. K.R. Rajagopal presents an introduction to a continuum approach to mixture theory with the emphasis on the constitutive equation, boundary conditions and moving singular surface. Finally, Kaiser and von Wahl bring new results on stability of basic flow for the Taylor-Couette problem in the small-gap limit. This volume would be indicated for those in the fields of applied mathematicians, researchers in fluid mechanics and theoretical mechanics, and mechanical engineers.

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Page Count

148

Publisher

CRC Press

Published Date

ISBN 10

0582298105

ISBN 13

9780582298101

Progress in Theoretical and Computational Fluid Mechanics

Winter School, Paseky, 1993

By: G P Galdi,Jindrich Necas,Josef Malek

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Progress in Theoretical and Computational Fluid Mechanics

Winter School, Paseky, 1993

By: G P Galdi,Jindrich Necas,Josef Malek

This volume presents a series of lectures given at the Winter School in Fluid Dynamics held in Paseky, Czech Republic in December 1993. Including original research and important new results, it contains a detailed investigation of some methods used towards the proof of global regularity for the Navier-Stokes equations. It also explores new formulations of the free-boundary in the dynamics of viscous fluids, and different methods for conservation laws in several space dimensions and related numerical schemes. The final contribution examines the existence and stability of non-isothermal compressible fluids and their relation with incompressible models.

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Page Count

186

Publisher

CRC Press

Published Date

ISBN 10

0582244668

ISBN 13

9780582244665

An Introduction to the Mathematical Theory of the Navier-Stokes Equations

Volume 2: Nonlinear Steady Problems

By: G.P. Galdi

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An Introduction to the Mathematical Theory of the Navier-Stokes Equations

Volume 2: Nonlinear Steady Problems

By: G.P. Galdi

The volumes deal with the fundamental mathematical properties of the Navier-Stokes equations, such as existence, regularity and uniqueness of solutions, and, for unbounded domains, their asymptotic behavior. The work is an up-to-date and detailed investigation of these problems for motions in domains of different types: bounded, exterior and domain with noncompact boundaries. Throughout the work, main problems which, so far, remain open are pointed out and for some of these conjectures are offered. New results are presented throughout, while several classical subjects are treated in a completely original way."--Google Book Search.

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362

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0387941509

ISBN 13

9780387941509

An Introduction to the Mathematical Theory of the Navier-Stokes Equations

Steady-State Problems

By: Giovanni Galdi

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An Introduction to the Mathematical Theory of the Navier-Stokes Equations

Steady-State Problems

By: Giovanni Galdi

The book provides a comprehensive, detailed and self-contained treatment of the fundamental mathematical properties of boundary-value problems related to the Navier-Stokes equations. These properties include existence, uniqueness and regularity of solutions in bounded as well as unbounded domains. Whenever the domain is unbounded, the asymptotic behavior of solutions is also investigated. This book is the new edition of the original two volume book, under the same title, published in 1994. In this new edition, the two volumes have merged into one and two more chapters on steady generalized oseen flow in exterior domains and steady Navier–Stokes flow in three-dimensional exterior domains have been added. Most of the proofs given in the previous edition were also updated. An introductory first chapter describes all relevant questions treated in the book and lists and motivates a number of significant and still open questions. It is written in an expository style so as to be accessible also to non-specialists.Each chapter is preceded by a substantial, preliminary discussion of the problems treated, along with their motivation and the strategy used to solve them. Also, each chapter ends with a section dedicated to alternative approaches and procedures, as well as historical notes. The book contains more than 400 stimulating exercises, at different levels of difficulty, that will help the junior researcher and the graduate student to gradually become accustomed with the subject. Finally, the book is endowed with a vast bibliography that includes more than 500 items. Each item brings a reference to the section of the book where it is cited. The book will be useful to researchers and graduate students in mathematics in particular mathematical fluid mechanics and differential equations. Review of First Edition, First Volume: “The emphasis of this book is on an introduction to the mathematical theory of the stationary Navier-Stokes equations. It is written in the style of a textbook and is essentially self-contained. The problems are presented clearly and in an accessible manner. Every chapter begins with a good introductory discussion of the problems considered, and ends with interesting notes on different approaches developed in the literature. Further, stimulating exercises are proposed. (Mathematical Reviews, 1995)

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