Applied Analysis Of The Navier Stokes Equations
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Applied Analysis Of The Navier Stokes Equations
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Author : Charles R. Doering
language : en
Publisher: Cambridge University Press
Release Date : 1995
Applied Analysis Of The Navier Stokes Equations written by Charles R. Doering 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 1995 with Mathematics categories.
The Navier-Stokes equations are a set of nonlinear partial differential equations comprising the fundamental dynamical description of fluid motion. They are applied routinely to problems in engineering, geophysics, astrophysics, and atmospheric science. This book is an introductory physical and mathematical presentation of the Navier-Stokes equations, focusing on unresolved questions of the regularity of solutions in three spatial dimensions, and the relation of these issues to the physical phenomenon of turbulent fluid motion. Intended for graduate students and researchers in applied mathematics and theoretical physics, results and techniques from nonlinear functional analysis are introduced as needed with an eye toward communicating the essential ideas behind the rigorous analyses.
Handbook On Navier Stokes Equations
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Author : Denise Campos
language : en
Publisher: Nova Science Publishers
Release Date : 2016-12
Handbook On Navier Stokes Equations written by Denise Campos and has been published by Nova Science Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-12 with Fluid dynamics categories.
NavierStokes equations describe the motion of fluids; they arise from applying Newtons second law of motion to a continuous function that represents fluid flow. If we apply the assumption that stress in the fluid is the sum of a pressure term and a diffusing viscous term, which is proportional to the gradient of velocity, we arrive at a set of equations that describe viscous flow. This handbook provides new research on the theories and applied analysis of Navier-Stokes Equations.
Handbook On Navier Stokes Equations
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Author : Denise Campos (Editor)
language : en
Publisher:
Release Date : 2016
Handbook On Navier Stokes Equations written by Denise Campos (Editor) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with MATHEMATICS categories.
Navier Stokes Equations And Nonlinear Functional Analysis
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Author : Roger Temam
language : en
Publisher: SIAM
Release Date : 1995-01-01
Navier Stokes Equations And Nonlinear Functional Analysis written by Roger Temam and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-01-01 with Technology & Engineering categories.
This second edition attempts to arrive as simply as possible at some central problems in the Navier-Stokes equations.
Turbulence Numerical Analysis Modelling And Simulation
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Author : William Layton
language : en
Publisher: MDPI
Release Date : 2018-05-04
Turbulence Numerical Analysis Modelling And Simulation written by William Layton and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-04 with Mathematics categories.
This book is a printed edition of the Special Issue "Turbulence: Numerical Analysis, Modelling and Simulation" that was published in Fluids
Hamiltonian Dynamical Systems And Applications
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Author : Walter Craig
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-02-17
Hamiltonian Dynamical Systems And Applications written by Walter Craig 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 2008-02-17 with Mathematics categories.
This volume is the collected and extended notes from the lectures on Hamiltonian dynamical systems and their applications that were given at the NATO Advanced Study Institute in Montreal in 2007. Many aspects of the modern theory of the subject were covered at this event, including low dimensional problems. Applications are also presented to several important areas of research, including problems in classical mechanics, continuum mechanics, and partial differential equations.
Scaling
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Author : Grigory Isaakovich Barenblatt
language : en
Publisher: Cambridge University Press
Release Date : 2003-11-13
Scaling written by Grigory Isaakovich Barenblatt 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 2003-11-13 with Mathematics categories.
Many phenomena in nature, engineering or society when seen at an intermediate distance, in space or time, exhibit the remarkable property of self-similarity: they reproduce themselves as scales change, subject to so-called scaling laws. It's crucial to know the details of these laws, so that mathematical models can be properly formulated and analysed, and the phenomena in question can be more deeply understood. In this 2003 book, the author describes and teaches the art of discovering scaling laws, starting from dimensional analysis and physical similarity, which are here given a modern treatment. He demonstrates the concepts of intermediate asymptotics and the renormalisation group as natural attributes of self-similarity and shows how and when these notions and tools can be used to tackle the task at hand, and when they cannot. Based on courses taught to undergraduate and graduate students, the book can also be used for self-study by biologists, chemists, astronomers, engineers and geoscientists.
The Energy Method Stability And Nonlinear Convection
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Author : Brian Straughan
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
The Energy Method Stability And Nonlinear Convection written by Brian Straughan 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 2013-06-29 with Mathematics categories.
This book is a revised edition of my earlier book of the same title. The cur rent edition adopts the structure of the earlier version but is much changed. The introduction now contains definitions of stability. Chapters 2 to 4 ex plain stability and the energy method in more depth and new sections dealing with porous media are provided. Chapters 5 to 13 are revisions of those in the earlier edition. However, chapters 6 to 12 are substantially revised, brought completely up to date, and have much new material in. Throughout the book new results are provided which are not available elsewhere. Six new chapters, 14 - 19, are provided dealing with topics of current interest. These cover the topics of multi-component convection diffusion, convection in a compressible fluid, convection with temperature dependent viscosity and thermal conductivity, the subject of penetrative convection whereby part of the fluid layer can penetrate into another, nonlinear sta bility in the oceans, and finally in chapter 19 practical methods for solving numerically the eigenvalue problems which arise are presented. The book presents convection studies in a variety of fluid and porous media contexts. It should be accessible to a wide audience and begins at an elementary level. Many new references are provided.
Mechanics Of Fluids
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Author : Joseph M. Powers
language : en
Publisher: Cambridge University Press
Release Date : 2023-06-29
Mechanics Of Fluids written by Joseph M. Powers 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 2023-06-29 with Technology & Engineering categories.
Providing a modern approach to classical fluid mechanics, this textbook presents an accessible and rigorous introduction to the field, with a strong emphasis on both mathematical exposition and physical problems. It includes a consistent treatment of a broad range of fluid mechanics topics, including governing equations, vorticity, potential flow, compressible flow, viscous flow, instability, and turbulence. It has enhanced coverage of geometry, coordinate transformations, kinematics, thermodynamics, heat transfer, and nonlinear dynamics. To round out student understanding, a robust emphasis on theoretical fundamentals and underlying mathematical details is provided, enabling students to gain confidence and develop a solid framework for further study. Included also are 180 end-of-chapter problems, with full solutions and sample course syllabi available for instructors. With sufficient coverage for a one- or two-semester sequence, this textbook provides an ideal flexible teaching pathway for graduate students in aerospace, mechanical, chemical, and civil engineering, and applied mathematics.
The Essence Of Turbulence As A Physical Phenomenon
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Author : Arkady Tsinober
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-08-23
The Essence Of Turbulence As A Physical Phenomenon written by Arkady Tsinober 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 2013-08-23 with Technology & Engineering categories.
This book critically reexamines what turbulence really is, from a fundamental point of view and based on observations from nature, laboratories, and direct numerical simulations. It includes critical assessments and a comparative analysis of the key developments, their evolution and failures, along with key misconceptions and outdated paradigms. The main emphasis is on conceptual and problematic aspects, physical phenomena, observations, misconceptions and unresolved issues rather than on conventional formalistic aspects, models, etc. Apart from the obvious fundamental importance of turbulent flows, this emphasis stems from the basic premise that without corresponding progress in fundamental aspects there is little chance for progress in applications such as drag reduction, mixing, control and modeling of turbulence. More generally, there is also a desperate need to grasp the physical fundamentals of the technological processes in which turbulence plays a central role.