The Navier-Stokes Problem in the 21st Century, Lemarie-Rieusset, Pierre Gilles
Старое издание
Автор: Lemarie-Rieusset Название: Navier-Stokes Prob In 21St Century ISBN: 1466566213 ISBN-13(EAN): 9781466566217 Издательство: Taylor&Francis Цена: 96970 T Описание:
Up-to-Date Coverage of the Navier-Stokes Equation from an Expert in Harmonic Analysis
The complete resolution of the Navier-Stokes equation--one of the Clay Millennium Prize Problems--remains an important open challenge in partial differential equations (PDEs) research despite substantial studies on turbulence and three-dimensional fluids. The Navier-Stokes Problem in the 21st Century provides a self-contained guide to the role of harmonic analysis in the PDEs of fluid mechanics.
The book focuses on incompressible deterministic Navier-Stokes equations in the case of a fluid filling the whole space. It explores the meaning of the equations, open problems, and recent progress. It includes classical results on local existence and studies criterion for regularity or uniqueness of solutions. The book also incorporates historical references to the (pre)history of the equations as well as recent references that highlight active mathematical research in the field.
Автор: Justin W. Garvin Название: A Student`s Guide to the Navier-Stokes Equations ISBN: 1009236164 ISBN-13(EAN): 9781009236164 Издательство: Cambridge Academ Рейтинг: Цена: 20070.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The Navier-Stokes equations describe the motion of fluids and are an invaluable addition to the toolbox of every physicist, applied mathematician, and engineer. The equations arise from applying Newton's laws of motion to a moving fluid and are considered, when used in combination with mass and energy conservation rules, to be the fundamental governing equations of fluid motion. They are relevant across many disciplines, from astrophysics and oceanic sciences to aerospace engineering and materials science. This Student's Guide provides a clear and focused presentation of the derivation, significance and applications of the Navier-Stokes equations, along with the associated continuity and energy equations. Designed as a useful supplementary resource for undergraduate and graduate students, each chapter concludes with a selection of exercises intended to reinforce and extend important concepts. Video podcasts demonstrating the solutions in full are provided online, along with written solutions and other additional resources.
Автор: Lemarie-rieusset, Pierre Gilles Название: Navier-stokes problem in the 21st century ISBN: 0367658577 ISBN-13(EAN): 9780367658571 Издательство: Taylor&Francis Рейтинг: Цена: 40820.00 T Наличие на складе: Поставка под заказ. Описание: This book focuses on incompressible deterministic Navier-Stokes equations in the case of a fluid filling the whole space. It explores the meaning of the equations, open problems, and recent progress. It includes classical results on local existence and studies criterion for regularity or uniqueness of solutions. The book also incorporates histor
Автор: Ramm Alexander G. Название: Symmetry Problems. the Navier-Stokes Problem. ISBN: 1681735059 ISBN-13(EAN): 9781681735054 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 41580.00 T Наличие на складе: Невозможна поставка. Описание: This book gives a necessary and sufficient condition in terms of the scattering amplitude for a scatterer to be spherically symmetric. By a scatterer we mean a potential or an obstacle. It also gives necessary and sufficient conditions for a domain to be a ball if an overdetermined boundary problem for the Helmholtz equation in this domain is solvable. This includes a proof of Schiffer's conjecture, the solution to the Pompeiu problem, and other symmetry problems for partial differential equations. It goes on to study some other symmetry problems related to the potential theory. Among these is the problem of ""invisible obstacles."" In Chapter 5, it provides a solution to the Navier‒Stokes problem in ℝ³. The author proves that this problem has a unique global solution if the data are smooth and decaying sufficiently fast. A new a priori estimate of the solution to the Navier‒Stokes problem is also included. Finally, it delivers a solution to inverse problem of the potential theory without the standard assumptions about star-shapeness of the homogeneous bodies.
Автор: Ramm Alexander G. Название: Symmetry Problems. the Navier-Stokes Problem. ISBN: 1681735075 ISBN-13(EAN): 9781681735078 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 61910.00 T Наличие на складе: Невозможна поставка. Описание: This book gives a necessary and sufficient condition in terms of the scattering amplitude for a scatterer to be spherically symmetric. By a scatterer we mean a potential or an obstacle. It also gives necessary and sufficient conditions for a domain to be a ball if an overdetermined boundary problem for the Helmholtz equation in this domain is solvable. This includes a proof of Schiffer's conjecture, the solution to the Pompeiu problem, and other symmetry problems for partial differential equations. It goes on to study some other symmetry problems related to the potential theory. Among these is the problem of ""invisible obstacles."" In Chapter 5, it provides a solution to the Navier‒Stokes problem in ℝ³. The author proves that this problem has a unique global solution if the data are smooth and decaying sufficiently fast. A new a priori estimate of the solution to the Navier‒Stokes problem is also included. Finally, it delivers a solution to inverse problem of the potential theory without the standard assumptions about star-shapeness of the homogeneous bodies.
Автор: Joanna Renc?awowicz; Wojciech M. Zaj?czkowski Название: The Large Flux Problem to the Navier-Stokes Equations ISBN: 3030323293 ISBN-13(EAN): 9783030323295 Издательство: Springer Рейтинг: Цена: 65210.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: 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—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.
Автор: Seregin Gregory Название: Lecture Notes On Regularity Theory For The Navier-Stokes Equations ISBN: 9814623407 ISBN-13(EAN): 9789814623407 Издательство: World Scientific Publishing Цена: 57030.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: 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.
Автор: Birken, Philipp Название: Numerical Methods for Navier-Stokes Equations ISBN: 036745775X ISBN-13(EAN): 9780367457754 Издательство: Taylor&Francis Рейтинг: Цена: 148010.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book is written to give both mathematicians and engineers an overview of the state of the art in the field, as well as of new developments. The focus is on methods for the compressible Navier-Stokes equations, the solutions of which can exhibit shocks, boundary layers and turbulence.
Автор: Giovanni Galdi Название: An Introduction to the Mathematical Theory of the Navier-Stokes Equations ISBN: 1461253667 ISBN-13(EAN): 9781461253662 Издательство: Springer Рейтинг: Цена: 103370.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This is the second of four volumes on the Navier-Stokes equations, specifically on Nonlinear Stationary Problems. The work is an up-to-date and detailed investigation of these problems for motions in domains of different types: bounded, exterior and domain with noncompact boundaries.
Автор: L. Quartapelle Название: Numerical Solution of the Incompressible Navier-Stokes Equations ISBN: 3764329351 ISBN-13(EAN): 9783764329358 Издательство: Springer Рейтинг: Цена: 121070.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Presents different formulations of the equations governing incompressible viscous flows, in the form needed for developing numerical solution procedures. This book discusses the conditions required to satisfy the no-slip boundary conditions in the various formulations. For each formulation, it provides a statement of the mathematical problem.
Автор: L. Stupelis Название: Navier-Stokes Equations in Irregular Domains ISBN: 0792335090 ISBN-13(EAN): 9780792335092 Издательство: Springer Рейтинг: Цена: 139310.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The analytical basis of Navier-Stokes Equations in Irregular Domains is formed by coercive estimates, which enable proofs to be given of the solvability of the boundary value problems for Stokes and Navier-Stokes equations in weighted Sobolev and Holder spaces, and the investigation of the smoothness of their solutions.
Автор: Giovanni Galdi Название: An Introduction to the Mathematical Theory of the Navier-Stokes Equations ISBN: 1493950177 ISBN-13(EAN): 9781493950171 Издательство: Springer Рейтинг: Цена: 107100.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The book provides a comprehensive, detailed and self-contained treatment of the fundamental mathematical properties of boundary-value problems related to the Navier-Stokes equations. This book is the new edition of the original two volume book, under the same title, published in 1994.
Автор: Pavel Plotnikov; Jan Soko?owski Название: Compressible Navier-Stokes Equations ISBN: 3034807651 ISBN-13(EAN): 9783034807654 Издательство: Springer Рейтинг: Цена: 102480.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The first monograph on the mathematical theory of shape optimization for compressible Navier-Stokes equations, this publication offers clear explanations of cutting-edge developments in a mathematical language that will foster research in this important field.
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