Mathematical Topics In Fluid Mechanics
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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 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.
Mathematical Topics In Fluid Mechanics Volume 1 Incompressible Models
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Author : Pierre-Louis Lions
language : en
Publisher: Clarendon Press
Release Date : 1996-06-27
Mathematical Topics In Fluid Mechanics Volume 1 Incompressible Models written by Pierre-Louis Lions and has been published by Clarendon Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-06-27 with Science categories.
One of the most challenging topics in applied mathematics over the past decades has been the development of the theory of nonlinear partial differential equations. Many of the problems in mechanics, geometry, probability, etc. lead to such equations when formulated in mathematical terms. However despite a long history of contributions, there exists no central core theory, and the most important advances have come from the study of particular equations and classes of equations arising in specific applications. This two volume work forms a unique and rigorous treatise on various mathematical aspects of fluid mechanics models. These models consist of systems of nonlinear partial differential equations like the incompressible and compressible Navier-Stokes equations. The main emphasis in Volume 1 is on the mathematical analysis of incompressible models. After recalling the fundamental description of Newtonian fluids, an original and self-contained study of both the classical Navier-Stokes equations (including the inhomogeneous case) and the Euler equations is given. Known results and many new results about the existence and regularity of solutions are presented with complete proofs. The discussion contains many interesting insights and remarks. The text highlights in particular the use of modern analytical tools and methods and also indicates many open problems. Volume 2 will be devoted to essentially new results for compressible models. Written by one of the world's leading researchers in nonlinear partial differential equations, Mathematical Topics in Fluid Mechanics will be an indispensable reference for every serious researcher in the field. Its topicality and the clear, concise and deep presentation by the author make it an outstanding contribution to the great theoretical problems in science concerning rigorous mathematical modelling of physical phenomena.
Mathematical Topics In Fluid Mechanics
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Author : Pierre-Louis Lions
language : en
Publisher:
Release Date : 1996
Mathematical Topics In Fluid Mechanics written by Pierre-Louis Lions and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Fluid mechanics categories.
Mathematical Topics In Fluid Mechanics Incompressible Fluids
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Author : Pierre-Louis Lions
language : en
Publisher:
Release Date : 1996
Mathematical Topics In Fluid Mechanics Incompressible Fluids written by Pierre-Louis Lions and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Fluid mechanics categories.
Mathematical Topics In Fluid Mechanics Incompressible Models
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Author : Pierre-Louis Lions
language : en
Publisher:
Release Date : 1996
Mathematical Topics In Fluid Mechanics Incompressible Models written by Pierre-Louis Lions and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Fluid mechanics categories.
Mathematical Topics In Fluid Mechanics
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Author : Pierre-Louis Lions
language : en
Publisher: OUP Oxford
Release Date : 2013-04-18
Mathematical Topics In Fluid Mechanics written by Pierre-Louis Lions and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-18 with Mathematics categories.
One of the most challenging topics in applied mathematics has been the development of the theory of nonlinear partial differential equations. Despite a long history of contributions, there exists no central core theory. This two volume work forms a unique and rigorous treatise on various mathematical aspects of fluid mechanics models.
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 1 Incompressible Models
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Author : Pierre-Louis Lions
language : en
Publisher: Clarendon Press
Release Date : 1996-06-27
Mathematical Topics In Fluid Mechanics Volume 1 Incompressible Models written by Pierre-Louis Lions and has been published by Clarendon Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-06-27 with Science categories.
One of the most challenging topics in applied mathematics over the past decades has been the development of the theory of nonlinear partial differential equations. Many of the problems in mechanics, geometry, probability, etc. lead to such equations when formulated in mathematical terms. However despite a long history of contributions, there exists no central core theory, and the most important advances have come from the study of particular equations and classes of equations arising in specific applications. This two volume work forms a unique and rigorous treatise on various mathematical aspects of fluid mechanics models. These models consist of systems of nonlinear partial differential equations like the incompressible and compressible Navier-Stokes equations. The main emphasis in Volume 1 is on the mathematical analysis of incompressible models. After recalling the fundamental description of Newtonian fluids, an original and self-contained study of both the classical Navier-Stokes equations (including the inhomogeneous case) and the Euler equations is given. Known results and many new results about the existence and regularity of solutions are presented with complete proofs. The discussion contains many interesting insights and remarks. The text highlights in particular the use of modern analytical tools and methods and also indicates many open problems. Volume 2 will be devoted to essentially new results for compressible models. Written by one of the world's leading researchers in nonlinear partial differential equations, Mathematical Topics in Fluid Mechanics will be an indispensable reference for every serious researcher in the field. Its topicality and the clear, concise and deep presentation by the author make it an outstanding contribution to the great theoretical problems in science concerning rigorous mathematical modelling of physical phenomena.
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