Mathematical Study of Degenerate Boundary Layers: A Large Scale Ocean Circulation Problem, Anne-Laure Dalibard, Laure Saint-Raymond
Автор: Ruban, Anatoly I. (chair In Applied Mathematics An Название: Fluid Dynamics: Part 3 Boundary Layers ISBN: 0199681759 ISBN-13(EAN): 9780199681754 Издательство: Oxford Academ Рейтинг: Цена: 81310.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The notion of the boundary layer was introduced to describe thin viscous layers that form on a rigid body surface in otherwise inviscid flow of a fluid with small viscosity. The book begins with the classical theory of the boundary-layer flows. However, its focus is on recent results of the theory invaluable in describing fluid-dynamics phenomena.
Автор: Carmelo Clavero; Jos? Luis Gracia; Francisco J. Li Название: BAIL 2010 - Boundary and Interior Layers, Computational and Asymptotic Methods ISBN: 3642268234 ISBN-13(EAN): 9783642268236 Издательство: Springer Рейтинг: Цена: 153720.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This volume will contain selected papers from the lectures held at the BAIL 2010 Conference, which took place from July 5th to 9th, 2010 in Zaragoza (Spain).
This book is devoted to the study of elliptic second-order degenerate quasilinear equations, the model of which is the p-Laplacian, with or without dominant lower order reaction term. Emphasis is put on three aspects:
The existence of separable singular solutions enables the description of isolated singularities of general solutions. The construction of singular solutions is delicate and cannot be done without the understanding of the spherical p-harmonic eigenvalue problem.
When the equations are considered on a Riemannian manifold, existence or non-existence of solutions depends on geometric assumptions such as the curvature. A priori estimates and Liouville type problems are analyzed.
When the equations are considered with a forcing term in the class of measures, their study is strongly linked to the properties of a class of potentials appearing in harmonic analysis such as the Riesz, the Bessel or the Wolff potentials and to their associated capacities. Necessary and sufficient conditions for existence of solutions link the continuity of the measure with respect to some appropriate capacity.
Автор: Alan Hegarty; Natalia Kopteva; Eugene O`Riordan; M Название: BAIL 2008 - Boundary and Interior Layers ISBN: 3642006043 ISBN-13(EAN): 9783642006043 Издательство: Springer Рейтинг: Цена: 130430.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Contains a cross-section of the papers that are presented at the BAIL 2008 conference, which was held from 28 July to 1 August 2008 at the University of Limerick, Ireland. This book gives an overview of the research into many engineering and mathematical problems of a singularly perturbed character.
Автор: Gie, Gung-min Hamouda, Makram Jung, Chang-yeol Temam, Roger M. Название: Singular perturbations and boundary layers ISBN: 3030006379 ISBN-13(EAN): 9783030006372 Издательство: Springer Рейтинг: Цена: 130430.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
Singular perturbations occur when a small coefficient affects the highest order derivatives in a system of partial differential equations. From the physical point of view singular perturbations generate in the system under consideration thin layers located often but not always at the boundary of the domains that are called boundary layers or internal layers if the layer is located inside the domain. Important physical phenomena occur in boundary layers. The most common boundary layers appear in fluid mechanics, e.g., the flow of air around an airfoil or a whole airplane, or the flow of air around a car. Also in many instances in geophysical fluid mechanics, like the interface of air and earth, or air and ocean. This self-contained monograph is devoted to the study of certain classes of singular perturbation problems mostly related to thermic, fluid mechanics and optics and where mostly elliptic or parabolic equations in a bounded domain are considered. This book is a fairly unique resource regarding the rigorous mathematical treatment of boundary layer problems. The explicit methodology developed in this book extends in many different directions the concept of correctors initially introduced by J. L. Lions, and in particular the lower- and higher-order error estimates of asymptotic expansions are obtained in the setting of functional analysis. The review of differential geometry and treatment of boundary layers in a curved domain is an additional strength of this book. In the context of fluid mechanics, the outstanding open problem of the vanishing viscosity limit of the Navier-Stokes equations is investigated in this book and solved for a number of particular, but physically relevant cases.This book will serve as a unique resource for those studying singular perturbations and boundary layer problems at the advanced graduate level in mathematics or applied mathematics and may be useful for practitioners in other related fields in science and engineering such as aerodynamics, fluid mechanics, geophysical fluid mechanics, acoustics and optics.
Автор: Petr Knobloch Название: Boundary and Interior Layers, Computational and Asymptotic Methods - BAIL 2014 ISBN: 3319257250 ISBN-13(EAN): 9783319257259 Издательство: Springer Рейтинг: Цена: 130430.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This volume offers contributions reflecting a selection of the lectures presented at the international conference BAIL 2014, which was held from 15th to 19th September 2014 at the Charles University in Prague, Czech Republic.
Автор: Farrell, Paul , Hegarty, Alan , Miller, John M. Название: Robust Computational Techniques for Boundary Layers ISBN: 0367398788 ISBN-13(EAN): 9780367398781 Издательство: Taylor&Francis Рейтинг: Цена: 65320.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
Current standard numerical methods are of little use in solving mathematical problems involving boundary layers. In Robust Computational Techniques for Boundary Layers, the authors construct numerical methods for solving problems involving differential equations that have non-smooth solutions with singularities related to boundary layers. They present a new numerical technique that provides precise results in the boundary layer regions for the problems discussed in the book. They show that this technique can be adapted in a natural way to a real flow problem, and that it can be used to construct benchmark solutions for comparison with solutions found using other numerical techniques.
Focusing on robustness, simplicity, and wide applicability rather than on optimality, Robust Computational Techniques for Boundary Layers provides readers with an understanding of the underlying principles and the essential components needed for the construction of numerical methods for boundary layer problems. It explains the fundamental ideas through physical insight, model problems, and computational experiments and gives details of the linear solvers used in the computations so that readers can implement the methods and reproduce the numerical results.
This volume collects papers associated with lectures that were presented at the BAIL 2016 conference, which was held from 14 to 19 August 2016 at Beijing Computational Science Research Center and Tsinghua University in Beijing, China. It showcases the variety and quality of current research into numerical and asymptotic methods for theoretical and practical problems whose solutions involve layer phenomena.
The BAIL (Boundary And Interior Layers) conferences, held usually in even-numbered years, bring together mathematicians and engineers/physicists whose research involves layer phenomena, with the aim of promoting interaction between
these often-separate disciplines. These layers appear as solutions of singularly perturbed differential equations of various types, and are common in physical problems, most notably in fluid dynamics.
This book is of interest for current researchers from mathematics, engineering and physics whose work involves the accurate app
roximation of solutions of singularly perturbed differential equations; that is, problems whose solutions exhibit boundary and/or interior layers.
Автор: Diarmuid ?`Math?na Название: Mechanics, Boundary Layers and Function Spaces ISBN: 1461289092 ISBN-13(EAN): 9781461289098 Издательство: Springer Рейтинг: Цена: 72670.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Concern with the class of problems investigated in this monograph began for me as a graduate student at MIT (1958-62) when serving as research assistant to Professor Eric Reissner who initiated me into the subject and whose influence - whether directly or dialectically - is probably discernable in the contours of the work. My fIrst attempt at a systematic derivation of the equations of shell theory was made while on a summer assistantship with Professor Norman Levinson in 1960. Beyond gaining a sobering reali- zation of the complexities involved, I made little progress at that time. In 1962-64 while a Temporary Member at the Courant Institute of Mathematical Sciences (NYU) I made a fresh start, while benefIting from my association and discus- sions with Professor Fritz John. With the conviction that the full integration of the equations with respect to the thickness coordinate, by means of the Legendre repre- sentations, must lead to a clarifIcation of the position of the two-dimensional theory in its three-dimensional context, the necessary computations were completed during that period. Several years passed while I became reconciled with the thought that the material needed to be organized as a monograph. This was done during 1969-70 while at the NASA Electronics Research Center in Cambridge, MA.
Автор: G.I. Marchuk; A.S. Sarkisyan Название: Mathematical Modelling of Ocean Circulation ISBN: 3642648169 ISBN-13(EAN): 9783642648168 Издательство: Springer Рейтинг: Цена: 104480.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The problems of ocean dynamics present more and more com- plex tasks for investigators, based on the continuously sophisti- cation of theoretical models, which are applied with the help of universal and efficient algorithms of numerical mathematics.
Автор: Jes?s I. D?az Название: Ocean Circulation and Pollution Control - A Mathematical and Numerical Investigation ISBN: 3642622895 ISBN-13(EAN): 9783642622892 Издательство: Springer Рейтинг: Цена: 46570.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: In the framework of the Diderot Mathematical Forum (DMF) of the European Mathematical Society (EMS), December 19-20, 1997, a Videoconference was held linking three teams of specialists in Amsterdam, Madrid and Venice respectively.
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