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The Large Flux Problem to the Navier-Stokes Equations, Joanna Renc?awowicz; Wojciech M. Zaj?czkowski


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Автор: Joanna Renc?awowicz; Wojciech M. Zaj?czkowski
Название:  The Large Flux Problem to the Navier-Stokes Equations
ISBN: 9783030323295
Издательство: Springer
Классификация:


ISBN-10: 3030323293
Обложка/Формат: Soft cover
Страницы: 179
Вес: 0.30 кг.
Дата издания: 2019
Серия: Lecture Notes in Mathematical Fluid Mechanics
Язык: English
Издание: 1st ed. 2019
Иллюстрации: 1 illustrations, color; 2 illustrations, black and white; vi, 179 p. 3 illus., 1 illus. in color.
Размер: 234 x 156 x 10
Читательская аудитория: Professional & vocational
Основная тема: Mathematics
Подзаголовок: Global Strong Solutions in Cylindrical Domains
Ссылка на Издательство: Link
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Поставляется из: Германии
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.
Дополнительное описание: Introduction.- Notation and auxiliary results.- Energy estimate: Global weak solutions.- Local estimates for regular solutions.- Global estimates for solutions to problem on (v, p).- Global estimates for solutions to problem on (h, q).- Estimates for ht.-



The Navier-Stokes Equations

Автор: Hermann Sohr
Название: The Navier-Stokes Equations
ISBN: 3034805500 ISBN-13(EAN): 9783034805506
Издательство: Springer
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Цена: 18167.00 р.
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Описание: This book develops an elementary and self-contained approach to the mathematical theory of a viscous, incompressible fluid in a domain of the Euclidean space, described by the equations of Navier-Stokes.

Finite Element Approximation of the Navier-Stokes Equations

Автор: Vivette Girault; P.-A. Raviart
Название: Finite Element Approximation of the Navier-Stokes Equations
ISBN: 3540095578 ISBN-13(EAN): 9783540095576
Издательство: Springer
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Цена: 6288.00 р.
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Navier-Stokes Prob In 21St Century

Автор: Lemarie-Rieusset
Название: Navier-Stokes Prob In 21St Century
ISBN: 1466566213 ISBN-13(EAN): 9781466566217
Издательство: Taylor&Francis
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Цена: 14545.00 р.
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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.

Numerical Solution of the Incompressible Navier-Stokes Equations

Автор: L. Quartapelle
Название: Numerical Solution of the Incompressible Navier-Stokes Equations
ISBN: 3764329351 ISBN-13(EAN): 9783764329358
Издательство: Springer
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Цена: 18161.00 р.
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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.

Navier-Stokes-Fourier Equations

Автор: Radyadour Kh. Zeytounian
Название: Navier-Stokes-Fourier Equations
ISBN: 3642443257 ISBN-13(EAN): 9783642443251
Издательство: Springer
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Цена: 19589.00 р.
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Описание: Outlining a Navier-Stokes-Fourier modeling theory for a Newtonian fluid governing compressible viscous and heat conducting flows, this monograph deconstructs the model and illustrates the theory through various technological and geophysical problems.

The Navier-Stokes Equations Theory and Numerical Methods

Автор: John G. Heywood; Kyuya Masuda; Reimund Rautmann; V
Название: The Navier-Stokes Equations Theory and Numerical Methods
ISBN: 3540527702 ISBN-13(EAN): 9783540527701
Издательство: Springer
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Цена: 4884.00 р.
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Описание: Contains articles on a wide variety of aspects of Navier-Stokes equations. This book surveys the subject via open problems and deals with the interplay between theory and numerical analysis.

Stability to the Incompressible Navier-Stokes Equations

Автор: Guilong Gui
Название: Stability to the Incompressible Navier-Stokes Equations
ISBN: 3642360270 ISBN-13(EAN): 9783642360275
Издательство: Springer
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Цена: 6986.00 р.
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Описание: Devoted to the study of the stability to the incompressible Navier-Stokes equations, this book develops techniques that are potentially useful for other physical model equations, and that offer great promise for further theoretical and numerical research.

Recent Progress in the Theory of the Euler and Navier–Stokes Equations

Автор: Robinson
Название: Recent Progress in the Theory of the Euler and Navier–Stokes Equations
ISBN: 1107554977 ISBN-13(EAN): 9781107554979
Издательство: Cambridge Academ
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Цена: 9186.00 р.
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Описание: This survey volume provides an accessible summary of a wide range of active research topics written by leaders in their field, together with some exciting new results. It serves both as a helpful overview for graduate students new to the area and as a useful resource for more established researchers.

The Navier-Stokes Equations II - Theory and Numerical Methods

Автор: John G. Heywood; Kyuya Masuda; Reimund Rautmann; V
Название: The Navier-Stokes Equations II - Theory and Numerical Methods
ISBN: 3540562613 ISBN-13(EAN): 9783540562610
Издательство: Springer
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Цена: 4884.00 р.
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Описание: Tani: Evolution free boundary problemfor equations of motion of viscous compressible barotropicliquid.- W. Miyakawa:On some coerciveestimates for the Stokes problem in unbounded domains.- R. v.Wahl:Decomposition of solenoidal fields into poloidal fields,toroidal fields and the mean flow.


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