Автор: Ramm Alexander G. Название: The Navier-Stokes Problem ISBN: 1636391222 ISBN-13(EAN): 9781636391229 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 5683.00 р. Наличие на складе: Нет в наличии.
Описание: 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 𝑣(𝑥, 𝑡) to the NSP exists for all 𝑡 ≥ 0 and 𝑣(𝑥, 𝑡) = 0).
It is shown that if the initial data 𝑣0(𝑥) ≢ 0, 𝑓(𝑥,𝑡) = 0 and the solution to the NSP exists for all 𝑡 ϵ ℝ+, then 𝑣0(𝑥) := 𝑣(𝑥, 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 𝑊21(ℝ3) × C(ℝ+) is proved, 𝑊21(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.
Автор: Necasova Название: Navier-Stokes Flow Around a Rotating Obstacle ISBN: 9462392307 ISBN-13(EAN): 9789462392304 Издательство: Springer Рейтинг: Цена: 7685.00 р. 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 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.
The book will be useful to researchers and graduate students in mathematics, in particular mathematical fluid mechanics and differential equations.
Автор: Lemarie-Rieusset Название: Navier-Stokes Prob In 21St Century ISBN: 1466566213 ISBN-13(EAN): 9781466566217 Издательство: Taylor&Francis Рейтинг: Цена: 14545.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: Pavel Plotnikov; Jan Soko?owski Название: Compressible Navier-Stokes Equations ISBN: 3034807651 ISBN-13(EAN): 9783034807654 Издательство: Springer Рейтинг: Цена: 15372.00 р. 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.
Автор: Stenger Название: Navier–Stokes Equations on R3 ? [0, T] ISBN: 3319275240 ISBN-13(EAN): 9783319275246 Издательство: Springer Рейтинг: Цена: 12577.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: In this monograph, leading researchers in the world ofnumerical analysis, partial differential equations, and hard computationalproblems study the properties of solutions of the Navier–Stokes partial differential equations on (x, y, z,t) ? ?3 ? [0, T]. Initially converting the PDE to asystem of integral equations, the authors then describe spaces A of analytic functions that housesolutions of this equation, and show that these spaces of analytic functionsare dense in the spaces S of rapidlydecreasing and infinitely differentiable functions. This method benefits fromthe 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 boundsFollowing the proofs of denseness, the authors prove theexistence of a solution of the integral equations in the space of functions A ? ?3 ? [0, T], and provide an explicit novelalgorithm based on Sinc approximation and Picard–like iteration for computingthe solution. Additionally, the authors include appendices that provide acustom Mathematica program for computing solutions based on the explicitalgorithmic approximation procedure, and which supply explicit illustrations ofthese computed solutions.
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: 9781.00 р. 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: Robinson Название: The Three-Dimensional Navier–Stokes Equations ISBN: 1107019664 ISBN-13(EAN): 9781107019669 Издательство: Cambridge Academ Рейтинг: Цена: 11246.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: A rigorous but accessible introduction to the mathematical theory of the three-dimensional Navier-Stokes equations, offering a self-contained treatment of many of the major results. Numerous exercises are provided, each with full solutions, making the book an ideal text for a graduate course of one or two semesters.
Автор: Lemarie-rieusset, Pierre Gilles Название: Navier-stokes problem in the 21st century ISBN: 0367658577 ISBN-13(EAN): 9780367658571 Издательство: Taylor&Francis Рейтинг: Цена: 6123.00 р. 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: Ben Artzi Matania Название: Navier-Stokes Equations in Planar Domains ISBN: 1848162758 ISBN-13(EAN): 9781848162754 Издательство: World Scientific Publishing Рейтинг: Цена: 15840.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Deals with the classical Navier-Stokes system of equations governing the planar flow of incompressible, viscid fluid. This book describes various 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`.
Автор: L. Stupelis Название: Navier-Stokes Equations in Irregular Domains ISBN: 0792335090 ISBN-13(EAN): 9780792335092 Издательство: Springer Рейтинг: Цена: 20896.00 р. 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.
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: Stenger Frank, Tucker Don, Baumann Gerd Название: Navier-Stokes Equations on R3 Ч [0, T] ISBN: 3319801627 ISBN-13(EAN): 9783319801629 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Preface.- Introduction, PDE, and IE Formulations.- Spaces of Analytic Functions.- Spaces of Solution of the N-S Equations.- Proof of Convergence of Iteration 1.6.3.- Numerical Methods for Solving N-S Equations.- Sinc Convolution Examples.- Implementation Notes.- Result Notes.
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