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| 商品 | 説明 | 価格 |
|---|---|---|
 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 |
 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 |
 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 |
 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 Navier-Stokes Millenium Problem【電子書籍】[ James Constant ] 楽天Kobo電子書籍ストア | ＜p＞Solutions of the Navier?Stokes equations often include turbulence, which remains one of the greatest unsolved problems in physics, despite its immense importance in science and engineering. The Clay Mathematics Institute in May 2000 made this problem one of its seven Millennium Prize problems in mathematics. It offered a US $1,000,000 prize to the first person who provides a solution for a specific statement of the problem.＜/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。 | 1,198円 |
 The Steady Navier-Stokes System Basics of the Theory and the Leray Problem【電子書籍】[ Mikhail Korobkov ] 楽天Kobo電子書籍ストア | ＜p＞This book provides a successful solution to one of the central problems of mathematical fluid mechanics: the Leray’s problem on existence of a solution to the boundary value problem for the stationary NavierーStokes system in bounded domains under sole condition of zero total flux. This marks the culmination of the authors' work over the past few years on this under-explored topic within the study of the NavierーStokes equations. This book will be the first major work on the NavierーStokes equations to explore Leray’s problem in detail. The results are presented with detailed proofs, as are the history of the problem and the previous approaches to finding a solution to it. In addition, for the reader’s convenience and for the self-sufficiency of the text, the foundations of the mathematical theory for incompressible fluid flows described by the steady state Stokes and NavierーStokes systems are presented. For researchers in this active area, this book will be a valuable resource.＜/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。 | 19,447円 |
 Analysis of the Navier-Stokes Problem Solution of a Millennium Problem【電子書籍】[ Alexander G. Ramm ] 楽天Kobo電子書籍ストア | ＜p＞This book revises and expands upon the prior edition, The Navier-Stokes Problem. The focus of this book is to provide a mathematical analysis of the Navier-Stokes Problem (NSP) in R^3 without boundaries. Before delving into analysis, the author begins by explaining the background and history of the Navier-Stokes Problem. This edition includes new analysis and an a priori estimate of the solution. The estimate proves the contradictory nature of the Navier-Stokes Problem. The author reaches the conclusion that the solution to the NSP with smooth and rapidly decaying data cannot exist for all positive times. By proving the NSP paradox, this book provides a solution to the millennium problem concerning the Navier-Stokes Equations and shows that they are physically and mathematically contradictive.＜/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 |
 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 |
 【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 |
 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 |
 The Navier-Stokes Problem in the 21st Century【電子書籍】[ Pierre Gilles Lemarie-Rieusset ] 楽天Kobo電子書籍ストア | ＜p＞＜strong＞Praise for the first edition＜/strong＞ “The author is an outstanding expert in harmonic analysis who has made important contributions. The book contains rigorous proofs of a number of the latest results in the field. I strongly recommend the book to postgraduate students and researchers working on challenging problems of harmonic analysis and mathematical theory of Navier-Stokes equations."＜strong＞ーGregory Seregin, St Hildas College, Oxford University＜/strong＞＜/p＞ ＜p＞“"This is a great book on the mathematical aspects of the fundamental equations of hydrodynamics, the incompressible Navier-Stokes equations. It covers many important topics and recent results and gives the reader a very good idea about where the theory stands at present.”＜strong＞ーVladimir Sverak, University of Minnesota＜/strong＞＜/p＞ ＜p＞The complete resolution of the Navier?Stokes equationーone of the Clay Millennium Prize Problemsーremains an important open challenge in partial differential equations (PDEs) research despite substantial studies on turbulence and three-dimensional fluids. ＜em＞＜strong＞The Navier?Stokes Problem in the 21st Century, Second Edition＜/strong＞＜/em＞ continues to provide a self-contained guide to the role of harmonic analysis in the PDEs of fluid mechanics, now revised to include fresh examples, theorems, results, and references that have become relevant since the first edition published in 2016.＜/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。 | 8,945円 |
 Navier-Stokes Flow Around a Rotating Obstacle Mathematical Analysis of its Asymptotic Behavior【電子書籍】[ Sarka Necasova ] 楽天Kobo電子書籍ストア | ＜p＞The book provides a comprehensive, detailed and self-contained treatment of the fundamental mathematical properties of problems arising from the motion of viscous incompressible fluids around rotating obstacles. It offers a new approach to this type of problems. We derive the fundamental solution of the steady case and we give pointwise estimates of velocity and its gradient (first and second one). Each chapter is preceded by a thorough discussion of the investigated problems, along with their motivation and the strategy used to solve them.＜/p＞ ＜p＞The book will be useful to researchers and graduate students in mathematics, in particular mathematical fluid mechanics and differential 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。 | 6,685円 |
 Navier-Stokes Turbulence Theory and Analysis【電子書籍】[ Wolfgang Kollmann ] 楽天Kobo電子書籍ストア | ＜p＞The book serves as a core text for graduate courses in advanced fluid mechanics and applied science. It consists of two parts. The first provides an introduction and general theory of fully developed turbulence, where treatment of turbulence is based on the linear functional equation derived by E. Hopf governing the characteristic functional that determines the statistical properties of a turbulent flow. In this section, Professor Kollmann explains how the theory is built on divergence free Schauder bases for the phase space of the turbulent flow and the space of argument vector fields for the characteristic functional. Subsequent chapters are devoted to mapping methods, homogeneous turbulence based upon the hypotheses of Kolmogorov and Onsager, intermittency, structural features of turbulent shear flows and their recognition.＜/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。 | 7,900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 |