Partial Differential Equations And Fluid Mechanics
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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 Mechanics 2
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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 2 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.
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.
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.
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.
Applied Partial Differential Equations
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Author : J. R. Ockendon
language : en
Publisher:
Release Date : 2003
Applied Partial Differential Equations written by J. R. Ockendon and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Business & Economics categories.
Partial differential equations are a central concept in mathematics. They are used in mathematical models of a huge range of real-world phenomena, from electromagnetism to financial markets. This new edition of the well-known text by Ockendon et al., providing an enthusiastic and clear guide to the theory and applications of PDEs, provides timely updates on: transform methods (especially multidimensional Fourier transforms and the Radon transform); explicit representations of general solutions of the wave equation; bifurcations; the Wiener-Hopf method; free surface flows; American options; the Monge-Ampere equation; linear elasticity and complex characteristics; as well as numerous topical exercises.This book is ideal for students of mathematics, engineering and physics seeking a comprehensive text in the modern applications of PDEs
Numerical Partial Differential Equations For Environmental Scientists And Engineers
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Author : Daniel R. Lynch
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-12-15
Numerical Partial Differential Equations For Environmental Scientists And Engineers written by Daniel R. Lynch 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 2004-12-15 with Science categories.
For readers with some competence in PDE solution properties, this book offers an interdisciplinary approach to problems occurring in natural environmental media: the hydrosphere, atmosphere, cryosphere, lithosphere, biosphere and ionosphere. It presents two major discretization methods: Finite Difference and Finite Element, plus a section on practical approaches to ill-posed problems. The blend of theory, analysis, and implementation practicality supports solving and understanding complicated problems.
Partial Differential Equations In Fluid Dynamics
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Author : Isom H. Herron
language : en
Publisher: Cambridge University Press
Release Date : 2008-07-28
Partial Differential Equations In Fluid Dynamics written by Isom H. Herron 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 2008-07-28 with Mathematics categories.
This book concerns partial differential equations applied to fluids problems in science and engineering.
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.
Hyperbolic Partial Differential Equations
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Author : Andreas Meister
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Hyperbolic Partial Differential Equations written by Andreas Meister 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 2012-12-06 with Mathematics categories.
The following chapters summarize lectures given in March 2001 during the summerschool on Hyperbolic Partial Differential Equations which took place at the Technical University of Hamburg-Harburg in Germany. This type of meeting is originally funded by the Volkswa genstiftung in Hannover (Germany) with the aim to bring together well-known leading experts from special mathematical, physical and engineering fields of interest with PhD students, members of Scientific Research Institutes as well as people from Industry, in order to learn and discuss modern theoretical and numerical developments. Hyperbolic partial differential equations play an important role in various applications from natural sciences and engineering. Starting from the classical Euler equations in fluid dynamics, several other hyperbolic equations arise in traffic flow problems, acoustics, radiation transfer, crystal growth etc. The main interest is concerned with nonlinear hyperbolic problems and the special structures, which are characteristic for solutions of these equations, like shock and rarefaction waves as well as entropy solutions. As a consequence, even numerical schemes for hyperbolic equations differ significantly from methods for elliptic and parabolic equations: the transport of information runs along the characteristic curves of a hyperbolic equation and consequently the direction of transport is of constitutive importance. This property leads to the construction of upwind schemes and the theory of Riemann solvers. Both concepts are combined with explicit or implicit time stepping techniques whereby the chosen order of accuracy usually depends on the expected dynamic of the underlying solution.