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Author : Brian Straughan
Publisher : CRC Press
ISBN 13 :
Total Pages : 140 pages
Book Rating : 4.:/5 (44 download)
Download or read book Mathematical Aspects of Penetrative Convection written by Brian Straughan and published by CRC Press. This book was released on 1993 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Emmanuel Dormy
Publisher : CRC Press
ISBN 13 : 1420055267
Total Pages : 494 pages
Book Rating : 4.4/5 (2 download)
Download or read book Mathematical Aspects of Natural Dynamos written by Emmanuel Dormy and published by CRC Press. This book was released on 2007-06-11 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although the origin of Earth's and other celestial bodies' magnetic fields remains unknown, we do know that the motion of electrically conducting fluids generates and maintains these fields, forming the basis of magnetohydrodynamics (MHD) and, to a larger extent, dynamo theory. Answering the need for a comprehensive, interdisciplinary introduction
Author : Radyadour Kh. Zeytounian
Publisher : Springer Science & Business Media
ISBN 13 : 9048124336
Total Pages : 396 pages
Book Rating : 4.0/5 (481 download)
Download or read book Convection in Fluids written by Radyadour Kh. Zeytounian and published by Springer Science & Business Media. This book was released on 2009-07-21 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph, entirely devoted to “Convection in Fluids”, presents a unified rational approach of various convective phenomena in fluids (mainly considered as a thermally perfect gas or an expansible liquid), where the main driving mechanism is the buoyancy force (Archimedean thrust) or temperature-dependent surface tension in homogeneities (Marangoni effect). Also, the general mathematical formulation (for instance, in the Bénard problem - heated from below) and the effect of free surface deformation are taken into account. In the case of atmospheric thermal convection, the Coriolis force and stratification effects are also considered. This volume gives a rational and analytical analysis of the above mentioned physical effects on the basis of the full unsteady Navier-Stokes and Fourier (NS-F) equations - for a Newtonian compressible viscous and heat-conducting fluid - coupled with the associated initials (at initial time), boundary (lower-at the solid plane) and free surface (upper-in contact with ambiant air) conditions. This, obviously, is not an easy but a necessary task if we have in mind a rational modelling process, and work within a numerically coherent simulation on a high speed computer.
Author : Brian Straughan
Publisher : Springer Science & Business Media
ISBN 13 : 0387217401
Total Pages : 461 pages
Book Rating : 4.3/5 (872 download)
Download or read book The Energy Method, Stability, and Nonlinear Convection written by Brian Straughan and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : S.N. Antontsev
Publisher : Springer Science & Business Media
ISBN 13 : 9400903375
Total Pages : 180 pages
Book Rating : 4.4/5 (9 download)
Download or read book Energy Methods in Continuum Mechanics written by S.N. Antontsev and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the Workshop Energy Methods for Free Boundary Problems in Continuum Mechanics, held in Oviedo, Spain, from March 21 to March 23, 1994. It is well known that the conservation laws and the constitutive equations of Continuum Mechanics lead to complicated coupled systems of partial differential equations to which, as a rule, one fails to apply the techniques usually employed in the studies of scalar uncoupled equations such as, for instance, the maximum principle. The study of the qualitative behaviour of solutions of the systems re quires different techniques, among others, the so called, Energy Methods where the properties of some integral of a nonnegative function of one or several unknowns allow one to arrive at important conclusions on the envolved unknowns. This vol ume presents the state of the art in such a technique. A special attention is paid to the class of Free Boundary Problems. The organizers are pleased to thank the European Science Foundation (Pro gram on Mathematical treatment of free boundary problems), the DGICYT (Spain), the FICYT (Principado de Asturias, Spain) and the Universities of Oviedo and Complutense de Madrid for their generous financial support. Finally, we wish to thank Kluwer Academic Publishers for the facilities received for the publication of these Proceedings.
Author : Merab Svanadze
Publisher : Springer Nature
ISBN 13 : 3030280225
Total Pages : 313 pages
Book Rating : 4.0/5 (32 download)
Download or read book Potential Method in Mathematical Theories of Multi-Porosity Media written by Merab Svanadze and published by Springer Nature. This book was released on 2019-11-01 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph explores the application of the potential method to three-dimensional problems of the mathematical theories of elasticity and thermoelasticity for multi-porosity materials. These models offer several new possibilities for the study of important problems in engineering and mechanics involving multi-porosity materials, including geological materials (e.g., oil, gas, and geothermal reservoirs); manufactured porous materials (e.g., ceramics and pressed powders); and biomaterials (e.g., bone and the human brain). Proceeding from basic to more advanced material, the first part of the book begins with fundamental solutions in elasticity, followed by Galerkin-type solutions and Green’s formulae in elasticity and problems of steady vibrations, quasi-static, and pseudo-oscillations for multi-porosity materials. The next part follows a similar format for thermoelasticity, concluding with a chapter on problems of heat conduction for rigid bodies. The final chapter then presents a number of open research problems to which the results presented here can be applied. All results discussed by the author have not been published previously and offer new insights into these models. Potential Method in Mathematical Theories of Multi-Porosity Media will be a valuable resource for applied mathematicians, mechanical, civil, and aerospace engineers, and researchers studying continuum mechanics. Readers should be knowledgeable in classical theories of elasticity and thermoelasticity.
Author :
Publisher :
ISBN 13 :
Total Pages : 876 pages
Book Rating : 4.3/5 (243 download)
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1983 with total page 876 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Radyadour Kh. Zeytounian
Publisher : Springer Science & Business Media
ISBN 13 : 9783540440130
Total Pages : 512 pages
Book Rating : 4.4/5 (41 download)
Download or read book Theory and Applications of Viscous Fluid Flows written by Radyadour Kh. Zeytounian and published by Springer Science & Business Media. This book was released on 2003-08-25 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book closes the gap between standard undergraduate texts on fluid mechanics and monographical publications devoted to specific aspects of viscous fluid flows. Each chapter serves as an introduction to a special topic that will facilitate later application by readers in their research work.
Author : J A Riestra
Publisher : CRC Press
ISBN 13 : 1000658376
Total Pages : 137 pages
Book Rating : 4.0/5 (6 download)
Download or read book A Generalized Taylor's Formula for Functions of Several Variables and Certain of its Applications written by J A Riestra and published by CRC Press. This book was released on 2021-02-27 with total page 137 pages. Available in PDF, EPUB and Kindle. Book excerpt: The classical Taylor's formula of advanced calculus is generalized, extending the notion of the differentiability class Cm, with applications to maxima and minima and to sufficiency of jets.
Author : Brian Straughan
Publisher : Springer Science & Business Media
ISBN 13 : 1475721943
Total Pages : 254 pages
Book Rating : 4.4/5 (757 download)
Download or read book The Energy Method, Stability, and Nonlinear Convection written by Brian Straughan and published by Springer Science & Business Media. This book was released on 2013-04-09 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : George Dassios
Publisher : CRC Press
ISBN 13 : 9780582368040
Total Pages : 252 pages
Book Rating : 4.3/5 (68 download)
Download or read book Mathematical Methods in Scattering Theory and Biomedical Technology written by George Dassios and published by CRC Press. This book was released on 1998-06-11 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers in this volume address the state-of-the-art and future directions in applied mathematics in both scattering theory and biomedical technology. A workshop held in Metsovo, Greece during the summer of 1997 brought together some of the world's foremose experts in the field with researchers working in Greece. Sixteen of the contributed papers appear in this volume. All the papers give new directions, and in several cases, the most important scientific contributions in the fields.
Author : José Merodio
Publisher : EOLSS Publications
ISBN 13 : 1848263740
Total Pages : 388 pages
Book Rating : 4.8/5 (482 download)
Download or read book Continuum Mechanics - Volume III written by José Merodio and published by EOLSS Publications. This book was released on 2011-11-30 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main objective of continuum mechanics is to predict the response of a body that is under the action of external and/or internal influences, i.e. to capture and describe different mechanisms associated with the motion of a body that is under the action of loading. A body in continuum mechanics is considered to be matter continuously distributed in space. Hence, no attention is given to the microscopic (atomic) structure of real materials although non-classical generalized theories of continuum mechanics are able to deal with the mesoscopic structure of matter (i.e. defects, cracks, dispersive lengths, ...). Matter occupies space in time and the response of a body in continuum mechanics is restricted to the Newtonian space-time of classical mechanics in this volume. Einstein’s theory of relativity is not considered. In the classical sense, loading is considered as any action that changes the motion of the body. This includes, for instance, a change in temperature or a force applied. By introducing the concept of configurational forces a load may also be considered as a force that drives a change in the material space, for example the opening of a crack. Continuum mechanics refers to field descriptions of phenomena that are usually modeled by partial differential equations and, from a mathematical point of view, require non-standard knowledge of non-simple technicalities. One purpose in this volume has been to present the different subjects in a self-contained way for a general audience. The organization of the volume is as follows. Mathematically, to predict the response of a body it is necessary to formulate boundary value problems governed by balance laws. The theme of the volume, that is an overview of the subject, has been written with this idea in mind for beginners in the topic. Chapter 1 is an introduction to continuum mechanics based on a one-dimensional framework in which, simultaneously, a more detailed organization of the chapters of this volume is given. A one-dimensional approach to continuum mechanics in some aspects maybe misleading since the analysis is oversimplified. Nevertheless, it allows us to introduce the subject through the early basic steps of the continuum analysis for a general audience. Chapters 3, 4 and 5 are devoted to the mathematical setting of continuum analysis: kinematics, balance laws and thermodynamics, respectively. Chapters 6 and 7 are devoted to constitutive equations. Chapters 8 and 9 deal with different issues in the context of linear elastostatics and linear elastodynamics and waves, respectively, for solids. Linear Elasticity is a classical and central theory of continuum mechanics. Chapter 10 deals with fluids while chapter 11 analyzes the coupled theory of thermoelasticity. Chapter 12 deals with nonlinear elasticity and its role in the continuum framework. Chapters 13 and 14 are dedicated to different applications of solid and fluid mechanics, respectively. The rest of the chapters involve some advanced topics. Chapter 15 is dedicated to turbulence, one of the main challenges in fluid mechanics. Chapter 16 deals with electro-magneto active materials (a coupled theory). Chapter 17 deals with specific ideas of soft matter and chapter 18 deals with configurational forces. In chapter 19, constitutive equations are introduced in a general (implicit) form. Well-posedness (existence, time of existence, uniqueness, continuity) of the equations of the mechanics of continua is an important topic which involves sophisticated mathematical machinery. Chapter 20 presents different analyses related to these topics. Continuum Mechanics is an interdisciplinary subject that attracts the attention of engineers, mathematicians, physicists, etc., working in many different disciplines from a purely scientific environment to industrial applications including biology, materials science, engineering, and many other subjects.
Author : Brian Straughan
Publisher : Springer Science & Business Media
ISBN 13 : 3642588077
Total Pages : 202 pages
Book Rating : 4.6/5 (425 download)
Download or read book Explosive Instabilities in Mechanics written by Brian Straughan and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : G P Galdi
Publisher : CRC Press
ISBN 13 : 9780582298101
Total Pages : 148 pages
Book Rating : 4.2/5 (981 download)
Download or read book Mathematical Theory in Fluid Mechanics written by G P Galdi and published by CRC Press. This book was released on 1996-08-01 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : K I Rosenthal
Publisher : CRC Press
ISBN 13 : 1498710409
Total Pages : 160 pages
Book Rating : 4.4/5 (987 download)
Download or read book The Theory of Quantaloids written by K I Rosenthal and published by CRC Press. This book was released on 2014-07-22 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a detailed account of the theory of quantaloids, a natural generalization of quantales. The basic theory, examples and construction are given and particular emphasis is placed on the free quantaloid construction, as well as on the perspective provided by enriched categories.
Author : William F. Ames
Publisher : Elsevier
ISBN 13 : 008053774X
Total Pages : 319 pages
Book Rating : 4.0/5 (85 download)
Download or read book Non-Standard and Improperly Posed Problems written by William F. Ames and published by Elsevier. This book was released on 1997-07-07 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by two international experts in the field, this book is the first unified survey of the advances made in the last 15 years on key non-standard and improperly posed problems for partial differential equations.This reference for mathematicians, scientists, and engineers provides an overview of the methodology typically used to study improperly posed problems. It focuses on structural stability--the continuous dependence of solutions on the initial conditions and the modeling equations--and on problems for which data are only prescribed on part of the boundary. The book addresses continuous dependence on initial-time and spatial geometry and on modeling backward and forward in time. It covers non-standard or non-characteristic problems, such as the sideways problem for a heat or hyberbolic equation and the Cauchy problem for the Laplace equation and other elliptic equations. The text also presents other relevant improperly posed problems, including the uniqueness and continuous dependence for singular equations, the spatial decay in improperly posed parabolicproblems, the uniqueness for the backward in time Navier-Stokes equations on an unbounded domain, the improperly posed problems for dusty gases, the linear thermoelasticity, and the overcoming Holder continuity and image restoration. - Provides the first unified survey of the advances made in the last 15 years in the field - Includes an up-to-date compendium of the mathematical literature on these topics
Author : Michael J. Field
Publisher : CRC Press
ISBN 13 : 1000673472
Total Pages : 172 pages
Book Rating : 4.0/5 (6 download)
Download or read book Lectures on Bifurcations, Dynamics and Symmetry written by Michael J. Field and published by CRC Press. This book was released on 2020-02-17 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an expanded version of a Master Class on the symmetric bifurcation theory of differential equations given by the author at the University of Twente in 1995. The notes cover a wide range of recent results in the subject, and focus on the dynamics that can appear in the generic bifurcation theory of symmetric differential equations. This text covers a wide range of current results in the subject of bifurcations, dynamics and symmetry. The style and format of the original lectures has largely been maintained and the notes include over 70 exercises.
