Автор: Effinger, Gove W., Название: An elementary transition to abstract mathematics / ISBN: 0367336936 ISBN-13(EAN): 9780367336936 Издательство: Taylor&Francis Рейтинг: Цена: 13779.00 р. 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: Nicholson, Neil R., Название: A transition to proof : ISBN: 0367201577 ISBN-13(EAN): 9780367201579 Издательство: Taylor&Francis Рейтинг: Цена: 14086.00 р. 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: Tian Ma; Shouhong Wang Название: Phase Transition Dynamics ISBN: 1493944126 ISBN-13(EAN): 9781493944125 Издательство: Springer Рейтинг: Цена: 18167.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book introduces a general principle of dynamic transitions for dissipative systems, establishes a systematic dynamic transition theory, and explores the physical implications of applications of the theory to a range of problems in the nonlinear sciences.
Автор: A. Dzieciol; Nanny Fr?man; N. Fr?man; Per O. Fr?ma Название: Phase-Integral Method ISBN: 1461275113 ISBN-13(EAN): 9781461275114 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The result of two decades spent developing and refining the phase-integral method to a high level of precision, the authors have applied this method to problems in various fields of theoretical physics.
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.
Автор: Wittenburg Jens Название: Multibody Systems / Dynamics of Systems of Rigid Bodies ISBN: 3540739130 ISBN-13(EAN): 9783540739135 Издательство: Springer Рейтинг: Цена: 18167.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Investigations into the dynamics of a system of rigid bodies require the formulation of nonlinear equations of motion, of energy expressions, kinematic relationships, and other quantities. It is comon practice to develop these for each system separately and to consider the labor necessary for deriving e.g., equations of motion from Lagrange`s equation, as inevitable. It is the main purpose of this book to describe in detail a formalism which substantially simplifies these tasks.The book addresses to advanced graduate students and to research workers.
Автор: M.Y. Hussaini; A. Kumar; C.L. Streett Название: Instability, Transition, and Turbulence ISBN: 1461277329 ISBN-13(EAN): 9781461277323 Издательство: Springer Рейтинг: Цена: 19591.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: R. Eppler; H. Fasel Название: Laminar-Turbulent Transition ISBN: 3642814875 ISBN-13(EAN): 9783642814877 Издательство: Springer Рейтинг: Цена: 18284.00 р. 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: Tian Ma; Shouhong Wang Название: Phase Transition Dynamics ISBN: 3030292622 ISBN-13(EAN): 9783030292621 Издательство: Springer Рейтинг: Цена: 25155.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book is an introduction to a comprehensive and unified dynamic transition theory for dissipative systems and to applications of the theory to a range of problems in the nonlinear sciences.
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: Nicholas D. Alikakos; Giorgio Fusco; Panayotis Smy Название: Elliptic Systems of Phase Transition Type ISBN: 3319905716 ISBN-13(EAN): 9783319905716 Издательство: Springer Рейтинг: Цена: 13974.00 р. 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.
