Автор: Nicholson, Neil R., Название: A transition to proof : ISBN: 0367201577 ISBN-13(EAN): 9780367201579 Издательство: Taylor&Francis Рейтинг: Цена: 93910.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The fundamental tool of theoretical mathematics is mathematical proof. Any claim or justification a mathematician makes must be proven. This book is designed for a reader who wants to learn what exactly a mathematical proof is, how they are constructed, and how to go about writing one.
Автор: Effinger, Gove W., Название: An elementary transition to abstract mathematics / ISBN: 0367336936 ISBN-13(EAN): 9780367336936 Издательство: Taylor&Francis Рейтинг: Цена: 91860.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This text is intended to help students move from introductory courses to those where rigor and proof play a much greater role. The emphasis is on precise definitions of mathematical objects and rigorous proofs of properties.
Автор: R. Eppler; H. Fasel Название: Laminar-Turbulent Transition ISBN: 3642814875 ISBN-13(EAN): 9783642814877 Издательство: Springer Рейтинг: Цена: 121890.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Following a suggestion by the Gesellschaft fur Angewandte Mathematik und Mechanik (GAMM) the International Union of Theoretical and Applied Mecha- nics (IUTAM) decided to sponsor a Symposium on "Laminar-Turbulent Tran- sition". The Symposium consisted of eight invited lectures in ad- dition to 34 contributed papers solicited by a Call for Papers.
Автор: Lixian Zhang; Ting Yang; Peng Shi; Yanzheng Zhu Название: Analysis and Design of Markov Jump Systems with Complex Transition Probabilities ISBN: 3319288466 ISBN-13(EAN): 9783319288468 Издательство: Springer Рейтинг: Цена: 121890.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The book addresses the control issues such as stability analysis, control synthesis and filter design of Markov jump systems with the above three types of TPs, and thus is mainly divided into three parts.
Автор: Bedrossian, Jacob Germain, Pierre Masmoudi, Nader Название: Dynamics near the subcritical transition of the 3d couette flow i ISBN: 1470442175 ISBN-13(EAN): 9781470442170 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 71060.00 T Наличие на складе: Невозможна поставка. Описание: The authors study small disturbances to the periodic, plane Couette flow in the 3D incompressible Navier-Stokes equations at high Reynolds number Re. They prove that for sufficiently regular initial data of size $\epsilon \leq c_0\mathbf {Re}^-1$ for some universal $c_0 > 0$, the solution is global, remains within $O(c_0)$ of the Couette flow in $L^2$, and returns to the Couette flow as $t \rightarrow \infty $. For times $t \gtrsim \mathbf {Re}^1/3$, the streamwise dependence is damped by a mixing-enhanced dissipation effect and the solution is rapidly attracted to the class of ""2.5 dimensional'' streamwise-independent solutions referred to as streaks.
Автор: Nicholas D. Alikakos; Giorgio Fusco; Panayotis Smy Название: Elliptic Systems of Phase Transition Type ISBN: 3319905716 ISBN-13(EAN): 9783319905716 Издательство: Springer Рейтинг: Цена: 93160.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book focuses on the vector Allen-Cahn equation, which models coexistence of three or more phases and is related to Plateau complexes – non-orientable objects with a stratified structure. The minimal solutions of the vector equation exhibit an analogous structure not present in the scalar Allen-Cahn equation, which models coexistence of two phases and is related to minimal surfaces. The 1978 De Giorgi conjecture for the scalar problem was settled in a series of papers: Ghoussoub and Gui (2d), Ambrosio and Cabr? (3d), Savin (up to 8d), and del Pino, Kowalczyk and Wei (counterexample for 9d and above). This book extends, in various ways, the Caffarelli-C?rdoba density estimates that played a major role in Savin's proof. It also introduces an alternative method for obtaining pointwise estimates. Key features and topics of this self-contained, systematic exposition include:• Resolution of the structure of minimal solutions in the equivariant class, (a) for general point groups, and (b) for general discrete reflection groups, thus establishing the existence of previously unknown lattice solutions.• Preliminary material beginning with the stress-energy tensor, via which monotonicity formulas, and Hamiltonian and Pohozaev identities are developed, including a self-contained exposition of the existence of standing and traveling waves.• Tools that allow the derivation of general properties of minimizers, without any assumptions of symmetry, such as a maximum principle or density and pointwise estimates.• Application of the general tools to equivariant solutions rendering exponential estimates, rigidity theorems and stratification results. This monograph is addressed to readers, beginning from the graduate level, with an interest in any of the following: differential equations – ordinary or partial; nonlinear analysis; the calculus of variations; the relationship of minimal surfaces to diffuse interfaces; or the applied mathematics of materials science.
Автор: Christophe Morel Название: Mathematical Modeling of Disperse Two-Phase Flows ISBN: 3319201034 ISBN-13(EAN): 9783319201030 Издательство: Springer Рейтинг: Цена: 139310.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Mathematical Modeling of Disperse Two-Phase Flows
Автор: M.Y. Hussaini; A. Kumar; C.L. Streett Название: Instability, Transition, and Turbulence ISBN: 1461277329 ISBN-13(EAN): 9781461277323 Издательство: Springer Рейтинг: Цена: 130610.00 T Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: D. Arnal; R. Michel Название: Laminar-Turbulent Transition ISBN: 3642841058 ISBN-13(EAN): 9783642841057 Издательство: Springer Рейтинг: Цена: 139310.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: For this reason, the International Union of Applied Mechanics decided to sponsor a third Symposium on "Laminar-Turbulent Transition", which would be organised by the ONERA Toulouse Research Center and held at "Ecole Nationale Superieure de l`Aeronautique et de l`Espace" in 1989.
Автор: Jacob Bedrossian, Nader Masmoudi, Pierre Germain Название: Dynamics Near the Subcritical Transition of the 3D Couette Flow II: Above Threshold Case ISBN: 1470472252 ISBN-13(EAN): 9781470472252 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 71060.00 T Наличие на складе: Нет в наличии. Описание: This is the second in a pair of works which study small disturbances to the plane, periodic 3D Couette flow in the incompressible Navier-Stokes equations at high Reynolds number Re. In this work, we show that there is constant 0 0 exist at least until t = c0???1 and in general evolve to be O(c0) due to the lift-up e?ect. Further, after times t Re1/3, the streamwise dependence of the solution is rapidly diminished by a mixing-enhanced dissipation e?ect and the solution is attracted back to the class of "2.5 dimensional" streamwise-independent solutions (sometimes referred to as "streaks"). The largest of these streaks are expected to eventually undergo a secondary instability at t ? ???1. Hence, our work strongly suggests, for all (sufficiently regular) initial data, the genericity of the "lift-up e?ect streak growth streak breakdown" scenario for turbulent transition of the 3D Couette flow near the threshold of stability forwarded in the applied mathematics and physics literature.
Автор: Nikolai Verichev; Stanislav Verichev; Vladimir Ero Название: Chaos, Synchronization and Structures in Dynamics of Systems with Cylindrical Phase Space ISBN: 3030361020 ISBN-13(EAN): 9783030361020 Издательство: Springer Рейтинг: Цена: 93160.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book develops analytical methods for studying the dynamical chaos, synchronization, and dynamics of structures in various models of coupled rotators. Rotators and their systems are defined in a cylindrical phase space, and, unlike oscillators, which are defined in Rn, they have a wider “range” of motion: There are vibrational and rotational types for cyclic variables, as well as their combinations (rotational-vibrational) if the number of cyclic variables is more than one. The specificity of rotator phase space poses serious challenges in terms of selecting methods for studying the dynamics of related systems. The book chiefly focuses on developing a modified form of the method of averaging, which can be used to study the dynamics of rotators. In general, the book uses the “language” of the qualitative theory of differential equations, point mappings, and the theory of bifurcations, which helps authors to obtain new results on dynamical chaos in systems with few degrees of freedom. In addition, a special section is devoted to the study and classification of dynamic structures that can occur in systems with a large number of interconnected objects, i.e. in lattices of rotators and/or oscillators. Given its scope and format, the book can be used both in lectures and courses on nonlinear dynamics, and in specialized courses on the development and operation of relevant systems that can be represented by a large number of various practical systems: interconnected grids of various mechanical systems, various types of networks including not only mechanical but also biological systems, etc.
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