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Navier Stokes Fourier Equations
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Author :Radyadour Kh. Zeytounian Publisher :Springer Science & Business Media ISBN 13 :3642207456 Total Pages :283 pages Book Rating :4.6/5 (422 download)
Book Synopsis Navier-Stokes-Fourier Equations by : Radyadour Kh. Zeytounian
Download or read book Navier-Stokes-Fourier Equations written by Radyadour Kh. Zeytounian and published by Springer Science & Business Media. This book was released on 2012-01-26 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: This research monograph deals with a modeling theory of the system of Navier-Stokes-Fourier equations for a Newtonian fluid governing a compressible viscous and heat conducting flows. The main objective is threefold. First , to 'deconstruct' this Navier-Stokes-Fourier system in order to unify the puzzle of the various partial simplified approximate models used in Newtonian Classical Fluid Dynamics and this, first facet, have obviously a challenging approach and a very important pedagogic impact on the university education. The second facet of the main objective is to outline a rational consistent asymptotic/mathematical theory of the of fluid flows modeling on the basis of a typical Navier-Stokes-Fourier initial and boundary value problem. The third facet is devoted to an illustration of our rational asymptotic/mathematical modeling theory for various technological and geophysical stiff problems from: aerodynamics, thermal and thermocapillary convections and also meteofluid dynamics.
Author :Radyadour Kh. Zeytounian Publisher :Springer Science & Business Media ISBN 13 :3642207464 Total Pages :283 pages Book Rating :4.6/5 (422 download)
Book Synopsis Navier-Stokes-Fourier Equations by : Radyadour Kh. Zeytounian
Download or read book Navier-Stokes-Fourier Equations written by Radyadour Kh. Zeytounian and published by Springer Science & Business Media. This book was released on 2012-01-25 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: This research monograph deals with a modeling theory of the system of Navier-Stokes-Fourier equations for a Newtonian fluid governing a compressible viscous and heat conducting flows. The main objective is threefold. First , to 'deconstruct' this Navier-Stokes-Fourier system in order to unify the puzzle of the various partial simplified approximate models used in Newtonian Classical Fluid Dynamics and this, first facet, have obviously a challenging approach and a very important pedagogic impact on the university education. The second facet of the main objective is to outline a rational consistent asymptotic/mathematical theory of the of fluid flows modeling on the basis of a typical Navier-Stokes-Fourier initial and boundary value problem. The third facet is devoted to an illustration of our rational asymptotic/mathematical modeling theory for various technological and geophysical stiff problems from: aerodynamics, thermal and thermocapillary convections and also meteofluid dynamics.
Book Synopsis Mathematical Analysis of the Navier-Stokes Equations by : Matthias Hieber
Download or read book Mathematical Analysis of the Navier-Stokes Equations written by Matthias Hieber and published by Springer Nature. This book was released on 2020-04-28 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects together a unique set of articles dedicated to several fundamental aspects of the Navier–Stokes equations. As is well known, understanding the mathematical properties of these equations, along with their physical interpretation, constitutes one of the most challenging questions of applied mathematics. Indeed, the Navier-Stokes equations feature among the Clay Mathematics Institute's seven Millennium Prize Problems (existence of global in time, regular solutions corresponding to initial data of unrestricted magnitude). The text comprises three extensive contributions covering the following topics: (1) Operator-Valued H∞-calculus, R-boundedness, Fourier multipliers and maximal Lp-regularity theory for a large, abstract class of quasi-linear evolution problems with applications to Navier–Stokes equations and other fluid model equations; (2) Classical existence, uniqueness and regularity theorems of solutions to the Navier–Stokes initial-value problem, along with space-time partial regularity and investigation of the smoothness of the Lagrangean flow map; and (3) A complete mathematical theory of R-boundedness and maximal regularity with applications to free boundary problems for the Navier–Stokes equations with and without surface tension. Offering a general mathematical framework that could be used to study fluid problems and, more generally, a wide class of abstract evolution equations, this volume is aimed at graduate students and researchers who want to become acquainted with fundamental problems related to the Navier–Stokes equations.
Book Synopsis Convergence of Fourier Methods for Navier-Stokes Equations by : Ole H. Hald
Download or read book Convergence of Fourier Methods for Navier-Stokes Equations written by Ole H. Hald and published by . This book was released on 1979 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stability to the Incompressible Navier-Stokes Equations by : Guilong Gui
Download or read book Stability to the Incompressible Navier-Stokes Equations written by Guilong Gui and published by Springer Science & Business Media. This book was released on 2013-04-13 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis contains results of Dr. Guilong Gui during his PhD period with the aim to understand incompressible Navier-Stokes equations. It is devoted to the study of the stability to the incompressible Navier-Stokes equations. There is great potential for further theoretical and numerical research in this field. The techniques developed in carrying out this work are expected to be useful for other physical model equations. It is also hopeful that the thesis could serve as a valuable reference on current developments in research topics related to the incompressible Navier-Stokes equations. It was nominated by the Graduate University of Chinese Academy of Sciences as an outstanding PhD thesis.
Book Synopsis Navier–Stokes Equations on R3 × [0, T] by : Frank Stenger
Download or read book Navier–Stokes Equations on R3 × [0, T] written by Frank Stenger and published by Springer. This book was released on 2016-09-23 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this monograph, leading researchers in the world of numerical analysis, partial differential equations, and hard computational problems study the properties of solutions of the Navier–Stokes partial differential equations on (x, y, z, t) ∈ R3 × [0, T]. Initially converting the PDE to a system of integral equations, the authors then describe spaces A of analytic functions that house solutions of this equation, and show that these spaces of analytic functions are dense in the spaces S of rapidly decreasing and infinitely differentiable functions. This method benefits from the following advantages: The functions of S are nearly always conceptual rather than explicit Initial and boundary conditions of solutions of PDE are usually drawn from the applied sciences, and as such, they are nearly always piece-wise analytic, and in this case, the solutions have the same properties When methods of approximation are applied to functions of A they converge at an exponential rate, whereas methods of approximation applied to the functions of S converge only at a polynomial rate Enables sharper bounds on the solution enabling easier existence proofs, and a more accurate and more efficient method of solution, including accurate error bounds Following the proofs of denseness, the authors prove the existence of a solution of the integral equations in the space of functions A ∩ R3 × [0, T], and provide an explicit novel algorithm based on Sinc approximation and Picard–like iteration for computing the solution. Additionally, the authors include appendices that provide a custom Mathematica program for computing solutions based on the explicit algorithmic approximation procedure, and which supply explicit illustrations of these computed solutions.
Book Synopsis Fourier Analysis Method for Numerical Solution of Navier-Stokes Equations by : R. Manohar
Download or read book Fourier Analysis Method for Numerical Solution of Navier-Stokes Equations written by R. Manohar and published by . This book was released on 1964 with total page 51 pages. Available in PDF, EPUB and Kindle. Book excerpt: Solutions of the initial-value problem of non-stationary Navier-Stokes equations for the flow of viscous incom pressible fluids with given initial conditions are obtained. The flow is assumed to be periodic in space-variables in the entire space. The solution is first expressed in Fourier series whose coefficients (which are functions of time) are then obtained from a set of simultaneous ordinary differential equations by numerical methods. Different initial conditions for both two and three dimensional problems are considered. Results showing the behaviour of some of the Fourier coefficients with time, as well as the space-averages of kinetic energy and vorticity, are given for three different problems. (Author).
Book Synopsis Applied Analysis of the Navier-Stokes Equations by : Charles R. Doering
Download or read book Applied Analysis of the Navier-Stokes Equations written by Charles R. Doering and published by Cambridge University Press. This book was released on 1995 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introductory physical and mathematical presentation of the Navier-Stokes equations focuses 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.
Book Synopsis Recent developments in the Navier-Stokes problem by : Pierre Gilles Lemarie-Rieusset
Download or read book Recent developments in the Navier-Stokes problem written by Pierre Gilles Lemarie-Rieusset and published by CRC Press. This book was released on 2002-04-26 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Navier-Stokes equations: fascinating, fundamentally important, and challenging,. Although many questions remain open, progress has been made in recent years. The regularity criterion of Caffarelli, Kohn, and Nirenberg led to many new results on existence and non-existence of solutions, and the very active search for mild solutions in the 1990's culminated in the theorem of Koch and Tataru that, in some ways, provides a definitive answer. Recent Developments in the Navier-Stokes Problem brings these and other advances together in a self-contained exposition presented from the perspective of real harmonic analysis. The author first builds a careful foundation in real harmonic analysis, introducing all the material needed for his later discussions. He then studies the Navier-Stokes equations on the whole space, exploring previously scattered results such as the decay of solutions in space and in time, uniqueness, self-similar solutions, the decay of Lebesgue or Besov norms of solutions, and the existence of solutions for a uniformly locally square integrable initial value. Many of the proofs and statements are original and, to the extent possible, presented in the context of real harmonic analysis. Although the existence, regularity, and uniqueness of solutions to the Navier-Stokes equations continue to be a challenge, this book is a welcome opportunity for mathematicians and physicists alike to explore the problem's intricacies from a new and enlightening perspective.
Book Synopsis An Introduction to Scientific Computing by : Ionut Danaila
Download or read book An Introduction to Scientific Computing written by Ionut Danaila and published by Springer Science & Business Media. This book was released on 2007-12-03 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book demonstrates scientific computing by presenting twelve computational projects in several disciplines including Fluid Mechanics, Thermal Science, Computer Aided Design, Signal Processing and more. Each follows typical steps of scientific computing, from physical and mathematical description, to numerical formulation and programming and critical discussion of results. The text teaches practical methods not usually available in basic textbooks: numerical checking of accuracy, choice of boundary conditions, effective solving of linear systems, comparison to exact solutions and more. The final section of each project contains the solutions to proposed exercises and guides the reader in using the MATLAB scripts available online.
Author :University of Minnesota. Institute for Mathematics and Its Applications Publisher : ISBN 13 : Total Pages :48 pages Book Rating :4.:/5 (123 download)
Book Synopsis Analysis of Fourier Methods for Navier-Stokes Equation by : University of Minnesota. Institute for Mathematics and Its Applications
Download or read book Analysis of Fourier Methods for Navier-Stokes Equation written by University of Minnesota. Institute for Mathematics and Its Applications and published by . This book was released on 1987 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Navier-Stokes Equations and Turbulence by : C. Foias
Download or read book Navier-Stokes Equations and Turbulence written by C. Foias and published by Cambridge University Press. This book was released on 2001-08-27 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the mathematical theory of turbulence to engineers and physicists, and the physical theory of turbulence to mathematicians. The mathematical technicalities are kept to a minimum within the book, enabling the language to be at a level understood by a broad audience.
Book Synopsis Fourier Analysis and Nonlinear Partial Differential Equations by : Hajer Bahouri
Download or read book Fourier Analysis and Nonlinear Partial Differential Equations written by Hajer Bahouri and published by Springer Science & Business Media. This book was released on 2011-01-03 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, the Fourier analysis methods have expereinced a growing interest in the study of partial differential equations. In particular, those techniques based on the Littlewood-Paley decomposition have proved to be very efficient for the study of evolution equations. The present book aims at presenting self-contained, state- of- the- art models of those techniques with applications to different classes of partial differential equations: transport, heat, wave and Schrödinger equations. It also offers more sophisticated models originating from fluid mechanics (in particular the incompressible and compressible Navier-Stokes equations) or general relativity. It is either directed to anyone with a good undergraduate level of knowledge in analysis or useful for experts who are eager to know the benefit that one might gain from Fourier analysis when dealing with nonlinear partial differential equations.
Book Synopsis Numerical Simulation of the Navier-Stokes Equations in Fourier Space by : Aldo Giorgini
Download or read book Numerical Simulation of the Navier-Stokes Equations in Fourier Space written by Aldo Giorgini and published by . This book was released on 1971 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Navier–Stokes Problem by : Alexander G. Ramm
Download or read book The Navier–Stokes Problem written by Alexander G. Ramm and published by Springer Nature. This book was released on 2022-06-01 with total page 61 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main result of this book is a proof of the contradictory nature of the Navier‒Stokes problem (NSP). It is proved that the NSP is physically wrong, and the solution to the NSP does not exist on R+ (except for the case when the initial velocity and the exterior force are both equal to zero; in this case, the solution (, ) to the NSP exists for all ≥ 0 and (, ) = 0). It is shown that if the initial data 0() ≢ 0, (,) = 0 and the solution to the NSP exists for all ε R+, then 0() := (, 0) = 0. This Paradox proves that the NSP is physically incorrect and mathematically unsolvable, in general. Uniqueness of the solution to the NSP in the space 21(R3) × C(R+) is proved, 21(R3) is the Sobolev space, R+ = [0, ∞). Theory of integral equations and inequalities with hyper-singular kernels is developed. The NSP is reduced to an integral inequality with a hyper-singular kernel.
Book Synopsis Turbulence and Navier Stokes Equations by : Roger Temam
Download or read book Turbulence and Navier Stokes Equations written by Roger Temam and published by Springer. This book was released on 1976 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Harmonic Balance for Nonlinear Vibration Problems by : Malte Krack
Download or read book Harmonic Balance for Nonlinear Vibration Problems written by Malte Krack and published by Springer. This book was released on 2019-03-23 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents an introduction to Harmonic Balance for nonlinear vibration problems, covering the theoretical basis, its application to mechanical systems, and its computational implementation. Harmonic Balance is an approximation method for the computation of periodic solutions of nonlinear ordinary and differential-algebraic equations. It outperforms numerical forward integration in terms of computational efficiency often by several orders of magnitude. The method is widely used in the analysis of nonlinear systems, including structures, fluids and electric circuits. The book includes solved exercises which illustrate the advantages of Harmonic Balance over alternative methods as well as its limitations. The target audience primarily comprises graduate and post-graduate students, but the book may also be beneficial for research experts and practitioners in industry.
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