Topics In Mathematical Fluid Mechanics
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Topics In Mathematical Fluid Mechanics
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Author : Peter Constantin
language : en
Publisher: Springer
Release Date : 2013-04-03
Topics In Mathematical Fluid Mechanics written by Peter Constantin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-03 with Mathematics categories.
This volume brings together five contributions to mathematical fluid mechanics, a classical but still very active research field which overlaps with physics and engineering. The contributions cover not only the classical Navier-Stokes equations for an incompressible Newtonian fluid, but also generalized Newtonian fluids, fluids interacting with particles and with solids, and stochastic models. The questions addressed in the lectures range from the basic problems of existence of weak and more regular solutions, the local regularity theory and analysis of potential singularities, qualitative and quantitative results about the behavior in special cases, asymptotic behavior, statistical properties and ergodicity.
Topics In Mathematical Fluid Mechanics
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Author : Giovanni Paolo Galdi
language : en
Publisher:
Release Date : 2002
Topics In Mathematical Fluid Mechanics written by Giovanni Paolo Galdi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Science categories.
Mathematical Topics In Fluid Mechanics
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Author : Jose Francisco Rodrigues
language : en
Publisher: CRC Press
Release Date : 2020-09-30
Mathematical Topics In Fluid Mechanics written by Jose Francisco Rodrigues and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-30 with Mathematics categories.
This Research Note presents several contributions and mathematical studies in fluid mechanics, namely in non-Newtonian and viscoelastic fluids and on the Navier-Stokes equations in unbounded domains. It includes review of the mathematical analysis of incompressible and compressible flows and results in magnetohydrodynamic and electrohydrodynamic stability and thermoconvective flow of Boussinesq-Stefan type. These studies, along with brief communications on a variety of related topics comprise the proceedings of a summer course held in Lisbon, Portugal in 1991. Together they provide a set of comprehensive survey and advanced introduction to problems in fluid mechanics and partial differential equations.
Mathematical Fluid Mechanics
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Author : Jiri Neustupa
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
Mathematical Fluid Mechanics written by Jiri Neustupa and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
Mathematical modeling and numerical simulation in fluid mechanics are topics of great importance both in theory and technical applications. The present book attempts to describe the current status in various areas of research. The 10 chapters, mostly survey articles, are written by internationally renowned specialists and offer a range of approaches to and views of the essential questions and problems. In particular, the theories of incompressible and compressible Navier-Stokes equations are considered, as well as stability theory and numerical methods in fluid mechanics. Although the book is primarily written for researchers in the field, it will also serve as a valuable source of information to graduate students.
Recent Developments Of Mathematical Fluid Mechanics
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Author : Herbert Amann
language : en
Publisher: Birkhäuser
Release Date : 2016-03-17
Recent Developments Of Mathematical Fluid Mechanics written by Herbert Amann and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-17 with Mathematics categories.
The aim of this proceeding is addressed to present recent developments of the mathematical research on the Navier-Stokes equations, the Euler equations and other related equations. In particular, we are interested in such problems as: 1) existence, uniqueness and regularity of weak solutions2) stability and its asymptotic behavior of the rest motion and the steady state3) singularity and blow-up of weak and strong solutions4) vorticity and energy conservation5) fluid motions around the rotating axis or outside of the rotating body6) free boundary problems7) maximal regularity theorem and other abstract theorems for mathematical fluid mechanics.
Handbook Of Mathematical Fluid Dynamics
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Author : S. Friedlander
language : en
Publisher: Gulf Professional Publishing
Release Date : 2003-03-27
Handbook Of Mathematical Fluid Dynamics written by S. Friedlander and has been published by Gulf Professional Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-03-27 with Science categories.
The Handbook of Mathematical Fluid Dynamics is a compendium of essays that provides a survey of the major topics in the subject. Each article traces developments, surveys the results of the past decade, discusses the current state of knowledge and presents major future directions and open problems. Extensive bibliographic material is provided. The book is intended to be useful both to experts in the field and to mathematicians and other scientists who wish to learn about or begin research in mathematical fluid dynamics. The Handbook illuminates an exciting subject that involves rigorous mathematical theory applied to an important physical problem, namely the motion of fluids.
Advances In Mathematical Fluid Mechanics
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Author : Rolf Rannacher
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-03-17
Advances In Mathematical Fluid Mechanics written by Rolf Rannacher and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-03-17 with Mathematics categories.
The present volume celebrates the 60th birthday of Professor Giovanni Paolo Galdi and honors his remarkable contributions to research in the ?eld of Mathematical Fluid Mechanics. The book contains a collection of 35 peer reviewed papers, with authors from 20 countries, re?ecting the worldwide impact and great inspiration by his work over the years. These papers were selected from invited lectures and contributed talks presented at the International Conference on Mathematical Fluid Mechanics held in Estoril, Portugal, May 21–25, 2007 and organized on the oc- sion of Professor Galdi’s 60th birthday. We express our gratitude to all the authors and reviewers for their important contributions. Professor Galdi devotes his career to research on the mathematical analysis of the Navier-Stokes equations and non-Newtonian ?ow problems, with special emphasis on hydrodynamic stability and ?uid-particle interactions, impressing the worldwide mathematical communities with his results. His numerous contributions have laid down signi?cant milestones in these ?elds, with a great in?uence on interdis- plinary research communities. He has advanced the careers of numerous young researchers through his generosity and encouragement, some directly through int- lectual guidance and others indirectly by pairing them with well chosen senior c- laborators. A brief review of Professor Galdi’s activities and some impressions by colleagues and friends are included here.
Handbook Of Mathematical Fluid Dynamics
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Author : S. Friedlander
language : en
Publisher: Elsevier
Release Date : 2007-05-16
Handbook Of Mathematical Fluid Dynamics written by S. Friedlander and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-16 with Science categories.
This is the fourth volume in a series of survey articles covering many aspects of mathematical fluid dynamics, a vital source of open mathematical problems and exciting physics.
Mathematical Topics In Fluid Mechanics Volume 2 Compressible Models
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Author : Pierre-Louis Lions
language : en
Publisher: Oxford University Press
Release Date : 1996
Mathematical Topics In Fluid Mechanics Volume 2 Compressible Models written by Pierre-Louis Lions and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Language Arts & Disciplines categories.
Fluid mechanics models consist of systems of nonlinear partial differential equations for which, despite a long history of important mathematical contributions, no complete mathematical understanding is available. The second volume of this book describes compressible fluid-mechanics models. The book contains entirely new material on a subject known to be rather difficult and important for applications (compressible flows). It is probably a unique effort on the mathematical problems associated with the compressible Navier-Stokes equations, written by one of the world's leading experts on nonlinear partial differential equations. Professor P.L. Lions won the Fields Medal in 1994.
Handbook Of Mathematical Fluid Dynamics
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Author : Susan Friedlander
language : en
Publisher: Gulf Professional Publishing
Release Date : 2002
Handbook Of Mathematical Fluid Dynamics written by Susan Friedlander and has been published by Gulf Professional Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
Cover -- Contents of the Handbook: Volume 1 -- Content -- Preface -- List of Contributors -- Chapter 1. Statistical Hydrodynamics -- Chapter 2. Topics on Hydrodynamics and Volume Preserving Maps -- Chapter 3. Weak Solutions of Incompressible Euler Equations -- Chapter 4. Near Identity Transformations for the Navier-Stokes Equations -- Chapter 5. Planar Navier-Stokes Equations: Vorticity Approach -- Chapter 6. Attractors of Navier-Stokes Equations -- Chapter 7. Stability and Instability in Viscous Fluids -- Chapter 8. Localized Instabilities in Fluids -- Chapter 9. Dynamo Theory -- Chapter 10. Water-Waves as a Spatial Dynamical System -- Chapter 11. Solving the Einstein Equations by Lipschitz Continuous Metrics: Shock Waves in General Relativity -- Author Index -- Subject Index