Navier Equations

Navier Equations 電子書籍
Navier Equations the
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商品	説明	価格
The Large Flux Problem to the Navier-Stokes Equations Global Strong Solutions in Cylindrical Domains【電子書籍】[ Joanna Renc?awowicz ] 楽天Kobo電子書籍ストア	＜p＞This monograph considers the motion of incompressible fluids described by the Navier-Stokes equations with large inflow and outflow, and proves the existence of global regular solutions without any restrictions on the magnitude of the initial velocity, the external force, or the flux. To accomplish this, some assumptions are necessary: The flux is close to homogeneous, and the initial velocity and the external force do not change too much along the axis of the cylinder. This is achieved by utilizing a sophisticated method of deriving energy type estimates for weak solutions and global estimates for regular solutionsーan approach that is wholly unique within the existing literature on the Navier-Stokes equations. To demonstrate these results, three main steps are followed: first, the existence of weak solutions is shown; next, the conditions guaranteeing the regularity of weak solutions are presented; and, lastly, global regular solutions are proven. This volume is ideal for mathematicians whose work involves the Navier-Stokes equations, and, more broadly, researchers studying fluid mechanics.＜/p＞画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちらをクリックして下さい。 ※このページからは注文できません。	3,402円
The Three-Dimensional Navier?Stokes Equations Classical Theory【電子書籍】[ James C. Robinson ] 楽天Kobo電子書籍ストア	＜p＞A rigorous but accessible introduction to the mathematical theory of the three-dimensional Navier?Stokes equations, this book provides self-contained proofs of some of the most significant results in the area, many of which can only be found in research papers. Highlights include the existence of global-in-time Leray?Hopf weak solutions and the local existence of strong solutions; the conditional local regularity results of Serrin and others; and the partial regularity results of Caffarelli, Kohn, and Nirenberg. Appendices provide background material and proofs of some 'standard results' that are hard to find in the literature. A substantial number of exercises are included, with full solutions given at the end of the book. As the only introductory text on the topic to treat all of the mainstream results in detail, this book is an ideal text for a graduate course of one or two semesters. It is also a useful resource for anyone working in mathematical fluid dynamics.＜/p＞画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちらをクリックして下さい。 ※このページからは注文できません。	10,148円
Navier?Stokes Equations on R3 × [0, T]【電子書籍】[ Frank Stenger ] 楽天Kobo電子書籍ストア	＜p＞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?Stokespartial differential equations on (x, y, z, t) ∈ ?3 × [0, ＜em＞T＜/em＞]. Initially converting the PDE to a system of integral equations, the authors then describe spaces ＜strong＞A＜/strong＞ of analytic functions that house solutions of this equation, and show that these spaces of analytic functions are dense in the spaces ＜em＞S＜/em＞ of rapidly decreasing and infinitely differentiable functions. This method benefits from the following advantages:＜/p＞＜ul＞＜li＞The functions of S are nearly always conceptual rather than explicit＜/li＞＜li＞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＜/li＞＜li＞When methods of approximation are applied to functions of ＜strong＞A＜/strong＞ they converge at an exponential rate, whereas methods of approximation applied to the functions of ＜strong＞S＜/strong＞ converge only at a polynomial rate＜/li＞＜li＞Enables sharper bounds on the solution enabling easier existence proofs, and a more accurate and more efficient method of solution, including accurate error bounds＜/li＞＜/ul＞＜p＞Following the proofs of denseness, the authors prove the existence of a solution of the integral equations in the space of functions ＜strong＞A＜/strong＞ ∩ ?3 × [0, ＜em＞T＜/em＞], 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.＜/p＞画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちらをクリックして下さい。 ※このページからは注文できません。	12,154円
Finite Volume Methods for the Incompressible Navier?Stokes Equations【電子書籍】[ Jian Li ] 楽天Kobo電子書籍ストア	＜p＞The book aims to provide a comprehensive understanding of the most recent developments in finite volume methods. Its focus is on the development and analysis of these methods for the two- and three-dimensional Navier-Stokes equations, supported by extensive numerical results. It covers the most used lower-order finite element pairs, with well-posedness and optimal analysis for these finite volume methods.＜/p＞＜p＞The authors have attempted to make this book self-contained by offering complete proofs and theoretical results. While most of the material presented has been taught by the authors in a number of institutions over the past several years, they also include several updated theoretical results for the finite volume methods for the incompressible Navier-Stokes equations.＜/p＞＜p＞This book is primarily developed to address research needs for students and academic and industrial researchers. It is particularly valuable as a research reference in the fieldsof engineering, mathematics, physics, and computer sciences.＜/p＞画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちらをクリックして下さい。 ※このページからは注文できません。	6,076円
Mathematical Analysis of the Navier-Stokes Equations Cetraro, Italy 2017【電子書籍】[ Matthias Hieber ] 楽天Kobo電子書籍ストア	＜p＞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).＜/p＞＜p＞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.＜/p＞＜p＞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.＜/p＞画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちらをクリックして下さい。 ※このページからは注文できません。	7,292円
Three-Dimensional Navier-Stokes Equations for Turbulence【電子書籍】[ Luigi C. Berselli ] 楽天Kobo電子書籍ストア	＜p＞＜em＞Three-Dimensional Navier-Stokes Equations for Turbulence＜/em＞ provides a rigorous but still accessible account of research into local and global energy dissipation, with particular emphasis on turbulence modeling. The mathematical detail is combined with coverage of physical terms such as energy balance and turbulence to make sure the reader is always in touch with the physical context. All important recent advancements in the analysis of the equations, such as rigorous bounds on structure functions and energy transfer rates in weak solutions, are addressed, and connections are made to numerical methods with many practical applications.＜/p＞＜p＞The book is written to make this subject accessible to a range of readers, carefully tackling interdisciplinary topics where the combination of theory, numerics, and modeling can be a challenge.＜/p＞＜ul＞＜li＞Includes a comprehensive survey of modern reduced-order models, including ones for data assimilation＜/li＞＜li＞Includes a self-contained coverage of mathematical analysis of fluid flows, which will act as an ideal introduction to the book for readers without mathematical backgrounds＜/li＞＜li＞Presents methods and techniques in a practical way so they can be rapidly applied to the reader’s own work＜/li＞＜/ul＞画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちらをクリックして下さい。 ※このページからは注文できません。	19,773円
【中古】【輸入品・未使用】Lecture Notes on Regularity Theory for the Navier-Stokes Equations ムジカ＆フェリーチェ楽天市場店	【中古】【輸入品・未使用】Lecture Notes on Regularity Theory for the Navier-Stokes Equations【メーカー名】Wspc【メーカー型番】【ブランド名】World Scientific Publishing Company【商品説明】Lecture Notes on Regularity Theory for the Navier-Stokes Equations当店では初期不良に限り、商品到着から7日間は返品を受付けております。こちらは海外販売用に買取り致しました未使用品です。買取り致しました為、中古扱いとしております。他モールとの併売品の為、完売の際はご連絡致しますのでご了承下さい。速やかにご返金させて頂きます。ご注文からお届けまで1、ご注文⇒ご注文は24時間受け付けております。2、注文確認⇒ご注文後、当店から注文確認メールを送信します。3、配送⇒当店海外倉庫から取り寄せの場合は10〜30日程度でのお届けとなります。国内到着後、発送の際に通知にてご連絡致します。国内倉庫からの場合は3〜7日でのお届けとなります。　※離島、北海道、九州、沖縄は遅れる場合がございます。予めご了承下さい。お電話でのお問合せは少人数で運営の為受け付けておりませんので、メールにてお問合せお願い致します。営業時間　月〜金　10:00〜17:00お客様都合によるご注文後のキャンセル・返品はお受けしておりませんのでご了承下さい。	20,357円
Navier-Stokes-Fourier Equations A Rational Asymptotic Modelling Point of View【電子書籍】[ Radyadour Kh. Zeytounian ] 楽天Kobo電子書籍ストア	＜p＞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.＜/p＞＜p＞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.＜/p＞画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちらをクリックして下さい。 ※このページからは注文できません。	18,231円
Recent Progress in the Theory of the Euler and Navier?Stokes Equations【電子書籍】楽天Kobo電子書籍ストア	＜p＞The rigorous mathematical theory of the Navier?Stokes and Euler equations has been a focus of intense activity in recent years. This volume, the product of a workshop in Venice in 2013, consolidates, surveys and further advances the study of these canonical equations. It consists of a number of reviews and a selection of more traditional research articles on topics that include classical solutions to the 2D Euler equation, modal dependency for the 3D Navier?Stokes equation, zero viscosity Boussinesq equations, global regularity and finite-time singularities, well-posedness for the diffusive Burgers equations, and probabilistic aspects of the Navier?Stokes equation. The result is an accessible summary of a wide range of active research topics written by leaders in their field, together with some exciting new results. The book serves both as a helpful overview for graduate students new to the area and as a useful resource for more established researchers.＜/p＞画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちらをクリックして下さい。 ※このページからは注文できません。	8,118円
Stability to the Incompressible Navier-Stokes Equations【電子書籍】[ Guilong Gui ] 楽天Kobo電子書籍ストア	＜p＞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.＜/p＞画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちらをクリックして下さい。 ※このページからは注文できません。	6,076円
Lecture Notes On Regularity Theory For The Navier-stokes Equations【電子書籍】[ Gregory Seregin ] 楽天Kobo電子書籍ストア	＜p＞The lecture notes in this book are based on the TCC (Taught Course Centre for graduates) course given by the author in Trinity Terms of 2009-2011 at the Mathematical Institute of Oxford University. It contains more or less an elementary introduction to the mathematical theory of the Navier-Stokes equations as well as the modern regularity theory for them. The latter is developed by means of the classical PDE's theory in the style that is quite typical for St Petersburg's mathematical school of the Navier-Stokes equations.The global unique solvability (well-posedness) of initial boundary value problems for the Navier-Stokes equations is in fact one of the seven Millennium problems stated by the Clay Mathematical Institute in 2000. It has not been solved yet. However, a deep connection between regularity and well-posedness is known and can be used to attack the above challenging problem. This type of approach is not very well presented in the modern books on the mathematical theory of the Navier-Stokes equations. Together with introduction chapters, the lecture notes will be a self-contained account on the topic from the very basic stuff to the state-of-art in the field.＜/p＞画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちらをクリックして下さい。 ※このページからは注文できません。	2,951円
Observability and Mathematics Fluid Mechanics, Solutions of Navier-Stokes Equations, and Modeling【電子書籍】[ Boris Khots ] 楽天Kobo電子書籍ストア	＜p＞The author approaches an old classic problem - the existence of solutions of Navier-Stokes equations. The main objective is to model and derive of equation of continuity, Euler equation of fluid motion, energy flux equation, Navier-Stokes equations from the observer point of view and solve classic problem for this interpretation of fluid motion laws.＜/p＞＜p＞If we have a piece of metal or a volume of liquid, the idea impresses itself upon us that it is divisible without limit, that any part of it, however small, would again have the same properties. But, wherever the methods of research in the physics of matter were refined sufficiently, limits to divisibility were reached that are not due to the inadequacy of our experiments but to the nature of the subject matter.＜/p＞＜p＞Observability in mathematics were developed by the author based on denial of infinity idea. He introduces observers into arithmetic, and arithmetic becomes dependent on observers. And after that the basic mathematical parts also become dependent on observers. This approach permits to reconsider the fluid motion laws, analyze them and get solutions of classic problems.＜/p＞＜p＞＜strong＞Table of Contents＜/strong＞＜/p＞＜ol＞＜li＞Introduction.＜/li＞＜li＞Observability and Arithmetic.＜/li＞＜li＞Observability and Vector Algebra.＜/li＞＜li＞Observability and Mathematical Analysis (Calculus).＜/li＞＜li＞Classic Fluid Mechanics equations and Observability.＜/li＞＜li＞Observability and Thermodynamical equations.＜/li＞＜li＞Observability and equation of continuity.＜/li＞＜li＞Observability and Euler equation of motion of the fluid.＜/li＞＜li＞Observability and energy flux and moment flux equations.＜/li＞＜li＞Observability and incompressible fluids.＜/li＞＜li＞Observability and Navier-Stokes equations.＜/li＞＜li＞Observability and Relativistic Fluid Mechanics.＜/li＞＜li＞Appendix: Review of publications of the Mathematics with Observers.＜/li＞＜li＞Glossary.＜br /＞ Bibliography＜br /＞ Index＜/li＞＜/ol＞＜p＞＜strong＞Biography＜/strong＞＜/p＞＜p＞Boris Khots, DrSci, lives in Iowa, USA, Independent Researcher. Alma Mater - Moscow State Lomonosov University, Department of Mathematics and Mechanics (mech-math). Creator of Observer’s Mathematics. Participant of more than 30 Mathematical international congresses, conferences. In particular, participated with presentation at International Congresses of Mathematicians on 1998 (Germany), 2002 (China), 2006 (Spain), 2010 (India), 2014 (South Korea). More than 150 mathematical books and papers.＜/p＞画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちらをクリックして下さい。 ※このページからは注文できません。	18,695円
Navier?Stokes Equations An Introduction with Applications【電子書籍】[ Grzegorz ?ukaszewicz ] 楽天Kobo電子書籍ストア	＜p＞This volume is devoted to the study of the Navier?Stokes equations, providing a comprehensive reference for a range of applications: from advanced undergraduate students to engineers and professional mathematicians involved in research on fluid mechanics, dynamical systems, and mathematical modeling. Equipped with only a basic knowledge of calculus, functional analysis, and partial differential equations, the reader is introduced to the concept and applications of the Navier?Stokes equations through a series of fully self-contained chapters. Including lively illustrations that complement and elucidate the text, and a collection of exercises at the end of each chapter, this book is an indispensable, accessible, classroom-tested tool for teaching and understanding the Navier?Stokes equations.＜/p＞＜p＞Incompressible Navier?Stokes equations describe the dynamic motion (flow) of incompressible fluid, the unknowns being the velocity and pressure as functions of location (space) and time variables. A solution to these equations predicts the behavior of the fluid, assuming knowledge of its initial and boundary states. These equations are one of the most important models of mathematical physics: although they have been a subject of vivid research for more than 150 years, there are still many open problems due to the nature of nonlinearity present in the equations. The nonlinear convective term present in the equations leads to phenomena such as eddy flows and turbulence. In particular, the question of solution regularity for three-dimensional problem was appointed by Clay Institute as one of the Millennium Problems, the key problems in modern mathematics. The problem remains challenging and fascinating for mathematicians, and the applications of the Navier?Stokes equations range from aerodynamics (drag and lift forces), to the design of watercraft and hydroelectric power plants, to medical applications such as modeling the flow of blood in the circulatory system.＜/p＞画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちらをクリックして下さい。 ※このページからは注文できません。	5,833円
Navier-stokes Equations In Planar Domains【電子書籍】[ Dalia Fishelov ] 楽天Kobo電子書籍ストア	＜p＞This volume deals with the classical Navier-Stokes system of equations governing the planar flow of incompressible, viscid fluid. It is a first-of-its-kind book, devoted to all aspects of the study of such flows, ranging from theoretical to numerical, including detailed accounts of classical test problems such as “driven cavity” and “double-driven cavity”.A comprehensive treatment of the mathematical theory developed in the last 15 years is elaborated, heretofore never presented in other books. It gives a detailed account of the modern compact schemes based on a “pure streamfunction” approach. In particular, a complete proof of convergence is given for the full nonlinear problem.This volume aims to present a variety of numerical test problems. It is therefore well positioned as a reference for both theoretical and applied mathematicians, as well as a text that can be used by graduate students pursuing studies in (pure or applied) mathematics, fluid dynamics and mathematical physics.＜/p＞画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちらをクリックして下さい。 ※このページからは注文できません。	4,426円