Applications of Group-Theoretical Methods in Hydrodynamics, V.K. Andreev; O.V. Kaptsov; Vladislav V. Pukhnache
Автор: Arnold Название: Topological Methods in Hydrodynamics ISBN: 038794947X ISBN-13(EAN): 9780387949475 Издательство: Springer Рейтинг: Цена: 18167.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Topological hydrodynamics is a young branch of mathematics studying topological features of flows with complicated trajectories, as well as their applications
to fluid motions. It is situated at the crossroad of hyrdodynamical stability theory, Riemannian and symplectic geometry, magnetohydrodynamics, theory of Lie algebras and Lie groups,
knot theory, and dynamical systems. Applications of this approach include topological classification of steady fluid flows, descriptions of the Korteweg-de Vries equation as a geodesic
flow, and results on Riemannian geometry of diffeomorphism groups, explaining, in particular, why longterm dynamical weather forecasts are not reliable.
Topological Methods
in Hydrodynamics is the first monograph to treat topological, group-theoretic, and geometric problems of ideal hydrodynamics and magnetohydrodynamics for a unified point of view. T
e necessary preliminary notions both in hydrodynamics and pure mathematics are described with plenty of examples and figures. The book is accessible to graduate students as well as
to both pure and applied mathematicians working in the fields of hydrodynamics, Lie groups, dynamical systems and differential geometry.
Автор: V.K. Andreev; O.V. Kaptsov; Vladislav V. Pukhnache Название: Applications of Group-Theoretical Methods in Hydrodynamics ISBN: 9048150833 ISBN-13(EAN): 9789048150830 Издательство: Springer Рейтинг: Цена: 37734.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: It was long ago that group analysis of differential equations became a powerful tool for studying nonlinear equations and boundary value problems. We consider it justifiable to enrich the set of exact solutions with rank one and rank two in- variant and partially invariant solutions to the equations of hydrodynamics.
Автор: Sergio Albeverio; Giuseppe Da Prato; Franco Flando Название: SPDE in Hydrodynamics: Recent Progress and Prospects ISBN: 3540784926 ISBN-13(EAN): 9783540784920 Издательство: Springer Рейтинг: Цена: 4884.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Reflects on the three lecture courses making up the CIME summer school on Fluid Dynamics at Cetraro in 2005. This title describes deterministic and stochastic models of hydrodynamics. It also describes rigorous mathematical results for multidimensional Navier-Stokes systems.
Описание: The first volume of the proceedings of the 7th conference on "Finite Volumes for Complex Applications" (Berlin, June 2014) covers topics that include convergence and stability analysis, as well as investigations of these methods from the point of view of compatibility with physical principles.
Описание: The first volume of the proceedings of the 7th conference on "Finite Volumes for Complex Applications" (Berlin, June 2014) covers topics that include convergence and stability analysis, as well as investigations of these methods from the point of view of compatibility with physical principles.
Описание: It is meant, above all, for physicists who specialize in the field theory and physics of elementary particles and plasma, for mathe- maticians dealing with nonlinear differential equations, differential geometry, and algebra, and the theory of Lie algebras and groups and their representa- tions, and for students and post-graduates in these fields.
Автор: Nikolay D. Kopachevskii; Selim G. Krein Название: Operator Approach to Linear Problems of Hydrodynamics ISBN: 3034895259 ISBN-13(EAN): 9783034895255 Издательство: Springer Рейтинг: Цена: 23508.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
This first volume of the proceedings of the 8th conference on "Finite Volumes for Complex Applications" (Lille, June 2017) covers various topics including convergence and stability analysis, as well as investigations of these methods from the point of view of compatibility with physical principles. It collects together the focused invited papers comparing advanced numerical methods for Stokes and Navier-Stokes equations on a benchmark, as well as reviewed contributions from internationally leading researchers in the field of analysis of finite volume and related methods, offering a comprehensive overview of the state of the art in the field.
The finite volume method in its various forms is a space discretization technique for partial differential equations based on the fundamental physical principle of conservation, and recent decades have brought significant advances in the theoretical understanding of the method. Many finite volume methods preserve further qualitative or asymptotic properties, including maximum principles, dissipativity, monotone decay of free energy, and asymptotic stability. Due to these properties, finite volume methods belong to the wider class of compatible discretization methods, which preserve qualitative properties of continuous problems at the discrete level. This structural approach to the discretization of partial differential equations becomes particularly important for multiphysics and multiscale applications.
The book is a valuable resource for researchers, PhD and master's level students in numerical analysis, scientific computing and related fields such as partial differential equations, as well as engineers working in numerical modeling and simulations.
Автор: Israel Gohberg; Antonio, F. dos Santos; Frank-Olme Название: Operator Theoretical Methods and Applications to Mathematical Physics ISBN: 3034896239 ISBN-13(EAN): 9783034896238 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This volume is devoted to the life and work of the applied mathematician Professor Erhard Meister (1930-2001). He was a member of the editorial boards of this book series Operator The- ory: Advances and Applications as well as of the journal Integral Equations and Operator Theory, both published by Birkhauser (now part of Springer-Verlag).
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