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Global Regularity for 2D Water Waves with Surface Tension, Alexandru D. Ionescu, Fabio Pusateri


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Цена: 65210.00T
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Автор: Alexandru D. Ionescu, Fabio Pusateri
Название:  Global Regularity for 2D Water Waves with Surface Tension
ISBN: 9781470431037
Издательство: Mare Nostrum (Eurospan)
Классификация:


ISBN-10: 1470431033
Обложка/Формат: Paperback
Страницы: 119
Вес: 0.20 кг.
Дата издания: 30.05.2019
Серия: Memoirs of the american mathematical society
Язык: English
Размер: 180 x 252 x 6
Читательская аудитория: Professional and scholarly
Ключевые слова: Differential calculus & equations,Applied mathematics
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Поставляется из: Англии
Описание: The authors consider the full irrotational water waves system with surface tension and no gravity in dimension two (the capillary waves system), and prove global regularity and modified scattering for suitably small and localized perturbations of a flat interface. An important point of the authors analysis is to develop a sufficiently robust method (the ``quasilinear I-method) which allows the authors to deal with strong singularities arising from time resonances in the applications of the normal form method (the so-called ``division problem). As a result, they are able to consider a suitable class of perturbations with finite energy, but no other momentum conditions.Part of the authors analysis relies on a new treatment of the Dirichlet-Neumann operator in dimension two which is of independent interest. As a consequence, the results in this paper are self-contained.
Дополнительное описание: Differential calculus and equations|Applied mathematics


Solvability, Regularity, and Optimal Control of Boundary Value Problems for PDEs

Автор: Pierluigi Colli; Angelo Favini; Elisabetta Rocca;
Название: Solvability, Regularity, and Optimal Control of Boundary Value Problems for PDEs
ISBN: 3319644882 ISBN-13(EAN): 9783319644882
Издательство: Springer
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Цена: 121110.00 T
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Описание: This volume gathers contributions in the field of partial differential equations, with a focus on mathematical models in phase transitions, complex fluids and thermomechanics.

Analytic Semigroups and Optimal Regularity in Parabolic Problems

Автор: Alessandra Lunardi
Название: Analytic Semigroups and Optimal Regularity in Parabolic Problems
ISBN: 3034899564 ISBN-13(EAN): 9783034899567
Издательство: Springer
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Цена: 139710.00 T
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Описание: This book gives a systematic treatment of the basic theory of analytic semigroups and abstract parabolic equations in general Banach spaces, and of how such a theory may be used in parabolic PDE`s.

Regularity of Minimal Surfaces

Автор: Ulrich Dierkes; Albrecht K?ster; Stefan Hildebrand
Название: Regularity of Minimal Surfaces
ISBN: 3642265219 ISBN-13(EAN): 9783642265211
Издательство: Springer
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Цена: 139750.00 T
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Описание: This is the second of a three-volume treatise on minimal surfaces. It deals with basic regularity results for minimal surfaces concerning their boundary behavior at Plateau boundaries and free boundaries.

Regularity and Stochasticity of Nonlinear Dynamical Systems

Автор: Dimitri Volchenkov; Xavier Leoncini
Название: Regularity and Stochasticity of Nonlinear Dynamical Systems
ISBN: 3319580612 ISBN-13(EAN): 9783319580616
Издательство: Springer
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Цена: 139750.00 T
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Описание: This book presents recent developments in nonlinear dynamics and physics with an emphasis on complex systems. The contributors provide recent theoretic developments and new techniques to solve nonlinear dynamical systems and help readers understand complexity, stochasticity, and regularity in nonlinear dynamical systems.

Regularity Results for Nonlinear Elliptic Systems and Applications

Автор: Alain Bensoussan; Jens Frehse
Название: Regularity Results for Nonlinear Elliptic Systems and Applications
ISBN: 3642087264 ISBN-13(EAN): 9783642087264
Издательство: Springer
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Цена: 88500.00 T
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Analytic Semigroups and Optimal Regularity in Parabolic Problems

Автор: Alessandra Lunardi
Название: Analytic Semigroups and Optimal Regularity in Parabolic Problems
ISBN: 303480556X ISBN-13(EAN): 9783034805568
Издательство: Springer
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Цена: 102480.00 T
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Описание: This book shows how the abstract methods of analytic semigroups and evolution equations in Banach spaces can be applied to the study of parabolic problems. It presents known theorems from a novel perspective and teaches how to exploit basic techniques.

Elliptic Regularity Theory

Автор: Lisa Beck
Название: Elliptic Regularity Theory
ISBN: 3319274848 ISBN-13(EAN): 9783319274843
Издательство: Springer
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Цена: 37260.00 T
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Описание: These lecture notes provide a self-contained introduction to regularity theory for elliptic equations and systems in divergence form. After a short review of some classical results on everywhere regularity for scalar-valued weak solutions, the presentation focuses on vector-valued weak solutions to a system of several coupled equations.

Regularity of Difference Equations on Banach Spaces

Автор: Ravi P. Agarwal; Claudio Cuevas; Carlos Lizama
Название: Regularity of Difference Equations on Banach Spaces
ISBN: 3319064460 ISBN-13(EAN): 9783319064468
Издательство: Springer
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Цена: 79190.00 T
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Описание: This work introduces readers to the topic of maximal regularity for difference equations. This book is intended for graduate students and researchers in the area of difference equations, particularly those with advance knowledge of and interest in functional analysis.


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