Explosive Instabilities in Mechanics

Explosive Instabilities in Mechanics PDF Author: Brian Straughan
Publisher: Springer Science & Business Media
ISBN: 3642588077
Category : Science
Languages : en
Pages : 202

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Book Description
This book deals with explosive instabilities in mechanics, deriving a solution to a system of PDEs that arise in practical situations. It begins with a relatively simple account of blow-up in systems of interaction-diffusion equations. Among the topics presented are: classical fluid equations, catastrophic behavior in nonlinear fluid theories, blow-up in Volterra equations, and rapid energy growth in parallel flows.

Explosive Instabilities in Mechanics

Explosive Instabilities in Mechanics PDF Author: Brian Straughan
Publisher: Springer Science & Business Media
ISBN: 3642588077
Category : Science
Languages : en
Pages : 202

Get Book Here

Book Description
This book deals with explosive instabilities in mechanics, deriving a solution to a system of PDEs that arise in practical situations. It begins with a relatively simple account of blow-up in systems of interaction-diffusion equations. Among the topics presented are: classical fluid equations, catastrophic behavior in nonlinear fluid theories, blow-up in Volterra equations, and rapid energy growth in parallel flows.

Continuum Mechanics Through the Twentieth Century

Continuum Mechanics Through the Twentieth Century PDF Author: Gerard A Maugin
Publisher: Springer Science & Business Media
ISBN: 9400763530
Category : Science
Languages : en
Pages : 321

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Book Description
This overview of the development of continuum mechanics throughout the twentieth century is unique and ambitious. Utilizing a historical perspective, it combines an exposition on the technical progress made in the field and a marked interest in the role played by remarkable individuals and scientific schools and institutions on a rapidly evolving social background. It underlines the newly raised technical questions and their answers, and the ongoing reflections on the bases of continuum mechanics associated, or in competition, with other branches of the physical sciences, including thermodynamics. The emphasis is placed on the development of a more realistic modeling of deformable solids and the exploitation of new mathematical tools. The book presents a balanced appraisal of advances made in various parts of the world. The author contributes his technical expertise, personal recollections, and international experience to this general overview, which is very informative albeit concise.

Stability Criteria For Fluid Flows

Stability Criteria For Fluid Flows PDF Author: Lidia Palese
Publisher: World Scientific
ISBN: 9814466360
Category : Science
Languages : en
Pages : 418

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Book Description
This is a comprehensive and self-contained introduction to the mathematical problems of thermal convection. The book delineates the main ideas leading to the authors' variant of the energy method. These can be also applied to other variants of the energy method. The importance of the book lies in its focussing on the best concrete results known in the domain of fluid flows stability and in the systematic treatment of mathematical instruments used in order to reach them.

Stability Criteria for Fluid Flows

Stability Criteria for Fluid Flows PDF Author: Adelina Georgescu
Publisher: World Scientific
ISBN: 9814289566
Category : Science
Languages : en
Pages : 418

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Book Description
This is a comprehensive and self-contained introduction to the mathematical problems of thermal convection. The book delineates the main ideas leading to the authors' variant of the energy method. These can be also applied to other variants of the energy method. The importance of the book lies in its focussing on the best concrete results known in the domain of fluid flows stability and in the systematic treatment of mathematical instruments used in order to reach them.

The Energy Method, Stability, and Nonlinear Convection

The Energy Method, Stability, and Nonlinear Convection PDF Author: Brian Straughan
Publisher: Springer Science & Business Media
ISBN: 0387217401
Category : Mathematics
Languages : en
Pages : 461

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Book Description
Six new chapters (14-19) deal with topics of current interest: multi-component convection diffusion, convection in a compressible fluid, convenction with temperature dependent viscosity and thermal conductivity, penetrative convection, nonlinear stability in ocean circulation models, and numerical solution of eigenvalue problems.

Mechanics of the 21st Century

Mechanics of the 21st Century PDF Author: Witold Gutkowski
Publisher: Springer Science & Business Media
ISBN: 1402035594
Category : Technology & Engineering
Languages : en
Pages : 483

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Book Description
"This volume ... consists of a book with full texts of invited talks and attached CD-ROM with Extended Summaries of 1225 papers presented during the Congress"--p. x.

Applied Mechanics Reviews

Applied Mechanics Reviews PDF Author:
Publisher:
ISBN:
Category : Mechanics, Applied
Languages : en
Pages : 252

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Book Description


Principles of Plasma Mechanics

Principles of Plasma Mechanics PDF Author: Bishwanath Chakraborty
Publisher: New Age International
ISBN: 9788122414462
Category : Plasma (Ionized gases)
Languages : en
Pages : 508

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Book Description
This Book Presents A Systematic Exposition Of The Fundamental Principles Involved In Plasma Mechanics. It Also Highlights Some Of The Recent Developments In The Area.The Book Emphasises The Following Topics: * Magnetization By Inverse Faraday Effect * Ionospheric Cross Modulation * Relativistic Vlasov Equations For Waves In Plasmas * Kinetic Theory Of Vlasov For Plasmoidal Equilibrium Structures * Formalism Of Transformation From Laboratory Frame To A Space Independent Frame For Study Of Dispersive Wave.With Its Comprehensive Approach And Detailed Treatment, The Book Would Serve As An Excellent Text For M.Sc. Physics Students As Well As Research Scholars.

Stability and Wave Motion in Porous Media

Stability and Wave Motion in Porous Media PDF Author: Brian Straughan
Publisher: Springer Science & Business Media
ISBN: 0387765433
Category : Technology & Engineering
Languages : en
Pages : 445

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Book Description
This book describes several tractable theories for fluid flow in porous media. The important mathematical quations about structural stability and spatial decay are address. Thermal convection and stability of other flows in porous media are covered. A chapter is devoted to the problem of stability of flow in a fluid overlying a porous layer. Nonlinear wave motion in porous media is analysed. In particular, waves in an elastic body with voids are investigated while acoustic waves in porous media are also analysed in some detail. A chapter is enclosed on efficient numerical methods for solving eigenvalue problems which occur in stability problems for flows in porous media. Brian Straughan is a professor at the Department of Mathemactical Sciences at Durham University, United Kingdom.

History of Shock Waves, Explosions and Impact

History of Shock Waves, Explosions and Impact PDF Author: Peter O. K. Krehl
Publisher: Springer Science & Business Media
ISBN: 3540304215
Category : Science
Languages : en
Pages : 1298

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Book Description
This unique and encyclopedic reference work describes the evolution of the physics of modern shock wave and detonation from the earlier and classical percussion. The history of this complex process is first reviewed in a general survey. Subsequently, the subject is treated in more detail and the book is richly illustrated in the form of a picture gallery. This book is ideal for everyone professionally interested in shock wave phenomena.