Observability and Mathematics: Fluid Mechanics, Solutions of Navier-Stokes Equations, and Modeling, Khots Boris
Автор: Fragnelli Genni, Mugnai Dimitri Название: Control of Degenerate and Singular Parabolic Equations: Carleman Estimates and Observability ISBN: 3030693481 ISBN-13(EAN): 9783030693480 Издательство: Springer Цена: 60550.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book collects some basic results on the null controllability for degenerate and singular parabolic problems. For these reasons, the authors will not give all the detailed proofs of the given theorems, but just some of them, in order to show the underlying strategy in this area.
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.
The series is devoted to the publication of high-level monographs and specialized graduate texts which cover the whole spectrum of applied mathematics, including its numerical aspects. The focus of the series is on the interplay between mathematical and numerical analysis, and also on its applications to mathematical models in the physical and life sciences.
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Editorial Board
Remi Abgrall, Universitat Zurich, Switzerland Jose Antonio Carrillo de la Plata, University of Oxford, UK Jean-Michel Coron, Universite Pierre et Marie Curie, Paris, France Athanassios S. Fokas, Cambridge University, UK Irene Fonseca, Carnegie Mellon University, Pittsburgh, USA
Автор: Lemarie-Rieusset Название: Navier-Stokes Prob In 21St Century ISBN: 1466566213 ISBN-13(EAN): 9781466566217 Издательство: Taylor&Francis Рейтинг: Цена: 96970.00 T 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: Genni Fragnelli, Dimitri Mugnai Название: Carleman Estimates, Observability Inequalities and Null Controllability for Interior Degenerate Nonsmooth Parabolic Equations ISBN: 1470419548 ISBN-13(EAN): 9781470419547 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 72990.00 T Наличие на складе: Невозможна поставка. Описание: The authors consider a parabolic problem with degeneracy in the interior of the spatial domain, and they focus on observability results through Carleman estimates for the associated adjoint problem. The novelties of the present paper are two. First, the coefficient of the leading operator only belongs to a Sobolev space. Second, the degeneracy point is allowed to lie even in the interior of the control region, so that no previous result can be adapted to this situation; however, different cases can be handled, and new controllability results are established as a consequence.
Автор: Robinson Название: Recent Progress in the Theory of the Euler and Navier–Stokes Equations ISBN: 1107554977 ISBN-13(EAN): 9781107554979 Издательство: Cambridge Academ Рейтинг: Цена: 61240.00 T Наличие на складе: Есть у поставщика Поставка под заказ. 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.
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: L. Stupelis Название: Navier-Stokes Equations in Irregular Domains ISBN: 9048145627 ISBN-13(EAN): 9789048145621 Издательство: Springer Рейтинг: Цена: 121890.00 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: Hermann Sohr Название: The Navier-Stokes Equations ISBN: 3034805500 ISBN-13(EAN): 9783034805506 Издательство: Springer Рейтинг: Цена: 121110.00 T Наличие на складе: Есть у поставщика Поставка под заказ. 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.
Автор: Ad?lia Sequeira Название: Navier—Stokes Equations and Related Nonlinear Problems ISBN: 0306451182 ISBN-13(EAN): 9780306451188 Издательство: Springer Рейтинг: Цена: 148020.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This volume contains the Proceedings of the Third International Conference on Navier-Stokes Equations and Related Nonlinear Problems. In addition to the editor, the organizers were Carlos Albuquerque (FC, University of Lisbon), Casimiro Silva (University of Madeira) and Juha Videman (1ST, Technical University of Lisbon).
Автор: Berselli Luigi C. Название: Three-Dimensional Navier-Stokes Equations for Turbulence ISBN: 0128219548 ISBN-13(EAN): 9780128219546 Издательство: Elsevier Science Рейтинг: Цена: 174050.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
Three-Dimensional Navier-Stokes Equations for Turbulence 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.
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.
Автор: Robinson Название: The Three-Dimensional Navier–Stokes Equations ISBN: 1107019664 ISBN-13(EAN): 9781107019669 Издательство: Cambridge Academ Рейтинг: Цена: 74970.00 T 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.
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