Partial Differential Equations In Fluid Mechanics
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Partial Differential Equations In Fluid Mechanics
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Author : Charles L. Fefferman
language : en
Publisher: Cambridge University Press
Release Date : 2018-09-27
Partial Differential Equations In Fluid Mechanics written by Charles L. Fefferman and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-27 with Mathematics categories.
The Euler and Navier–Stokes equations are the fundamental mathematical models of fluid mechanics, and their study remains central in the modern theory of partial differential equations. This volume of articles, derived from the workshop 'PDEs in Fluid Mechanics' held at the University of Warwick in 2016, serves to consolidate, survey and further advance research in this area. It contains reviews of recent progress and classical results, as well as cutting-edge research articles. Topics include Onsager's conjecture for energy conservation in the Euler equations, weak-strong uniqueness in fluid models and several chapters address the Navier–Stokes equations directly; in particular, a retelling of Leray's formative 1934 paper in modern mathematical language. The book also covers more general PDE methods with applications in fluid mechanics and beyond. This collection will serve as a helpful overview of current research for graduate students new to the area and for more established researchers.
Partial Differential Equations And Fluid Mechanics
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Author : James C. Robinson
language : en
Publisher:
Release Date : 2009
Partial Differential Equations And Fluid Mechanics written by James C. Robinson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Differential equations, Partial categories.
Reviews and research articles summarizing a wide range of active research topics in fluid mechanics.
Stochastic Partial Differential Equations In Fluid Mechanics
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Author : Franco Flandoli
language : en
Publisher: Springer Nature
Release Date : 2023-06-11
Stochastic Partial Differential Equations In Fluid Mechanics written by Franco Flandoli and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06-11 with Mathematics categories.
This book is devoted to stochastic Navier–Stokes equations and more generally to stochasticity in fluid mechanics. The two opening chapters describe basic material about the existence and uniqueness of solutions: first in the case of additive noise treated pathwise and then in the case of state-dependent noise. The main mathematical techniques of these two chapters are known and given in detail for using the book as a reference for advanced courses. By contrast, the third and fourth chapters describe new material that has been developed in very recent years or in works now in preparation. The new material deals with transport-type noise, its origin, and its consequences on dissipation and well-posedness properties. Finally, the last chapter is devoted to the physical intuition behind the stochastic modeling presented in the book, giving great attention to the question of the origin of noise in connection with small-scale turbulence, its mathematical form, and its consequenceson large-scale properties of a fluid.
Partial Differential Equations And Fluid Mechanics
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Author : James C. Robinson
language : en
Publisher: Cambridge University Press
Release Date : 2009-07-16
Partial Differential Equations And Fluid Mechanics written by James C. Robinson and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-07-16 with Mathematics categories.
Reviews and research articles summarizing a wide range of active research topics in fluid mechanics.
Partial Differential Equations In Fluid Dynamics
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Author :
language : en
Publisher:
Release Date : 2008
Partial Differential Equations In Fluid Dynamics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Differential equations, Partial categories.
Partial Differential Equations In Mechanics 1
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Author : A.P.S. Selvadurai
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-10-19
Partial Differential Equations In Mechanics 1 written by A.P.S. Selvadurai 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 2000-10-19 with Mathematics categories.
This two-volume work focuses on partial differential equations (PDEs) with important applications in mechanical and civil engineering, emphasizing mathematical correctness, analysis, and verification of solutions. The presentation involves a discussion of relevant PDE applications, its derivation, and the formulation of consistent boundary conditions.
Fluid Mechanics
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Author : Franz Durst
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-09-01
Fluid Mechanics written by Franz Durst 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 2008-09-01 with Science categories.
Fluid mechanics embraces engineering, science, and medicine. This book’s logical organization begins with an introductory chapter summarizing the history of fluid mechanics and then moves on to the essential mathematics and physics needed to understand and work in fluid mechanics. Analytical treatments are based on the Navier-Stokes equations. The book also fully addresses the numerical and experimental methods applied to flows. This text is specifically written to meet the needs of students in engineering and science. Overall, readers get a sound introduction to fluid mechanics.
Energy Methods For Free Boundary Problems
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Author : S.N. Antontsev
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-10-26
Energy Methods For Free Boundary Problems written by S.N. Antontsev 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 2001-10-26 with Technology & Engineering categories.
For the past several decades, the study of free boundary problems has been a very active subject of research occurring in a variety of applied sciences. What these problems have in common is their formulation in terms of suitably posed initial and boundary value problems for nonlinear partial differential equations. Such problems arise, for example, in the mathematical treatment of the processes of heat conduction, filtration through porous media, flows of non-Newtonian fluids, boundary layers, chemical reactions, semiconductors, and so on. The growing interest in these problems is reflected by the series of meetings held under the title "Free Boundary Problems: Theory and Applications" (Ox ford 1974, Pavia 1979, Durham 1978, Montecatini 1981, Maubuisson 1984, Irsee 1987, Montreal 1990, Toledo 1993, Zakopane 1995, Crete 1997, Chiba 1999). From the proceedings of these meetings, we can learn about the different kinds of mathematical areas that fall within the scope of free boundary problems. It is worth mentioning that the European Science Foundation supported a vast research project on free boundary problems from 1993 until 1999. The recent creation of the specialized journal Interfaces and Free Boundaries: Modeling, Analysis and Computation gives us an idea of the vitality of the subject and its present state of development. This book is a result of collaboration among the authors over the last 15 years.
Partial Differential Equations
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Author : Kartikeya Dutta
language : en
Publisher: Educohack Press
Release Date : 2025-02-20
Partial Differential Equations written by Kartikeya Dutta and has been published by Educohack Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-20 with Science categories.
"Partial Differential Equations: A Detailed Exploration" is a comprehensive textbook designed for undergraduate students, offering an in-depth study of Partial Differential Equations (PDEs). We blend accessibility with academic rigor, making it suitable for students in mathematics, physics, and engineering disciplines. Our book starts with a strong foundation in mathematical modeling and analysis, tailored to meet the needs of undergraduate learners. We provide a balanced approach, combining theoretical underpinnings with practical applications. Each chapter includes clear explanations, illustrative examples, and thought-provoking exercises to foster active engagement and skill development. This journey equips students with essential tools to solve real-world problems and instills a deep appreciation for the elegance of PDE theory. Whether exploring heat conduction, wave propagation, or fluid dynamics, readers will immerse themselves in the rich tapestry of mathematical methods designed to unravel the secrets of nature. "Partial Differential Equations: A Detailed Exploration" invites undergraduates to transform mathematical challenges into triumphs, laying the groundwork for a deeper understanding of PDEs.
Physics And Partial Differential Equations
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Author : Tatsien Li
language : en
Publisher: SIAM
Release Date : 2013-08-14
Physics And Partial Differential Equations written by Tatsien Li and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-08-14 with Mathematics categories.
Now available in English for the first time,?Physics and Partial Differential Equations, Volume I?bridges physics and applied mathematics in a manner that is easily accessible to readers with an undergraduate-level background in these disciplines.? Readers who are more familiar with mathematics than physics will discover the connection between various physical and mechanical disciplines and their related mathematical models, which are described by partial differential equations (PDEs). The authors establish the fundamental equations for fields such as electrodynamics; fluid dynamics, magnetohydrodynamics, and reacting fluid dynamics; elastic, thermoelastic, and viscoelastic mechanics; the kinetic theory of gases; special relativity; and quantum mechanics. Readers who are more familiar with physics than mathematics will benefit from in-depth explanations of how PDEs work as effective mathematical tools to more clearly express and present the basic concepts of physics. The book describes the mathematical structures and features of these PDEs, including the types and basic characteristics of the equations, the behavior of solutions, and some commonly used approaches to solving PDEs. Each chapter can be read independently and includes exercises and references.?