Partial Differential Equations In Fluid Dynamics
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Partial Differential Equations In Fluid Dynamics
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Author : Isom H. Herron
language : en
Publisher:
Release Date : 2008
Partial Differential Equations In Fluid Dynamics written by Isom H. Herron 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.
This book concerns partial differential equations applied to fluids problems in science and engineering.
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.
Random Perturbation Of Pdes And Fluid Dynamic Models
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Author : Franco Flandoli
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-03-11
Random Perturbation Of Pdes And Fluid Dynamic Models written by Franco Flandoli 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 2011-03-11 with Mathematics categories.
This volume explores the random perturbation of PDEs and fluid dynamic models. The text describes the role of additive and bilinear multiplicative noise, and includes examples of abstract parabolic evolution equations.
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.
Principles Of Computational Fluid Dynamics
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Author : Pieter Wesseling
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-12-21
Principles Of Computational Fluid Dynamics written by Pieter Wesseling 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 2009-12-21 with Mathematics categories.
This up-to-date book gives an account of the present state of the art of numerical methods employed in computational fluid dynamics. The underlying numerical principles are treated in some detail, using elementary methods. The author gives many pointers to the current literature, facilitating further study. This book will become the standard reference for CFD for the next 20 years.
Basics Of Fluid Mechanics And Introduction To Computational Fluid Dynamics
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Author : Titus Petrila
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-06-14
Basics Of Fluid Mechanics And Introduction To Computational Fluid Dynamics written by Titus Petrila 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 2006-06-14 with Mathematics categories.
The present book – through the topics and the problems approach – aims at filling a gap, a real need in our literature concerning CFD (Computational Fluid Dynamics). Our presentation results from a large documentation and focuses on reviewing the present day most important numerical and computational methods in CFD. Many theoreticians and experts in the field have expressed their - terest in and need for such an enterprise. This was the motivation for carrying out our study and writing this book. It contains an important systematic collection of numerical working instruments in Fluid Dyn- ics. Our current approach to CFD started ten years ago when the Univ- sity of Paris XI suggested a collaboration in the field of spectral methods for fluid dynamics. Soon after – preeminently studying the numerical approaches to Navier–Stokes nonlinearities – we completed a number of research projects which we presented at the most important inter- tional conferences in the field, to gratifying appreciation. An important qualitative step in our work was provided by the dev- opment of a computational basis and by access to a number of expert softwares. This fact allowed us to generate effective working programs for most of the problems and examples presented in the book, an - pect which was not taken into account in most similar studies that have already appeared all over the world.
Random Perturbation Of Pdes And Fluid Dynamic Models
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Author : Franco Flandoli
language : en
Publisher: Springer
Release Date : 2011-03-02
Random Perturbation Of Pdes And Fluid Dynamic Models written by Franco Flandoli and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-03-02 with Mathematics categories.
The book deals with the random perturbation of PDEs which lack well-posedness, mainly because of their non-uniqueness, in some cases because of blow-up. The aim is to show that noise may restore uniqueness or prevent blow-up. This is not a general or easy-to-apply rule, and the theory presented in the book is in fact a series of examples with a few unifying ideas. The role of additive and bilinear multiplicative noise is described and a variety of examples are included, from abstract parabolic evolution equations with non-Lipschitz nonlinearities to particular fluid dynamic models, like the dyadic model, linear transport equations and motion of point vortices.
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.
Applied Partial Differential Equations
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Author : Peter Markowich
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-08-06
Applied Partial Differential Equations written by Peter Markowich 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 2007-08-06 with Mathematics categories.
This book presents topics of science and engineering which occur in nature or are part of daily life. It describes phenomena which are modelled by partial differential equations, relating to physical variables like mass, velocity and energy, etc. to their spatial and temporal variations. The author has chosen topics representing his career-long interests, including the flow of fluids and gases, granular flows, biological processes like pattern formation on animal skins, kinetics of rarified gases and semiconductor devices. Each topic is presented in its scientific or engineering context, followed by an introduction of applicable mathematical models in the form of partial differential equations.