Alexander B Ezersky's Books

The Dynamics Of Pattern

By: Alexander B Ezersky,Mikhail I Rabinovich,Patrick D Weidman

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The Dynamics Of Pattern

By: Alexander B Ezersky,Mikhail I Rabinovich,Patrick D Weidman

Spirals, vortices, crystalline lattices, and other attractive patterns are prevalent in Nature. How do such beautiful patterns appear from the initial chaos? What universal dynamical rules are responsible for their formation? What is the dynamical origin of spatial disorder in nonequilibrium media? Based on the many visual experiments in physics, hydrodynamics, chemistry, and biology, this invaluable book answers those and related intriguing questions. The mathematical models presented for the dynamical theory of pattern formation are nonlinear partial differential equations. The corresponding theory is not so accessible to a wide audience. Consequently, the authors have made every attempt to synthesize long and complex mathematical calculations to exhibit the underlying physics. The book will be useful for final year undergraduates, but is primarily aimed at graduate students, postdoctoral fellows, and others interested in the puzzling phenomena of pattern formation.

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Page Count

338

Publisher

World Scientific

Published Date

ISBN 10

9814494356

ISBN 13

9789814494359

Invariant Manifolds for Physical and Chemical Kinetics

By: Alexander N. Gorban,Iliya V. Karlin

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Invariant Manifolds for Physical and Chemical Kinetics

By: Alexander N. Gorban,Iliya V. Karlin

By bringing together various ideas and methods for extracting the slow manifolds, the authors show that it is possible to establish a more macroscopic description in nonequilibrium systems. The book treats slowness as stability. A unifying geometrical viewpoint of the thermodynamics of slow and fast motion enables the development of reduction techniques, both analytical and numerical. Examples considered in the book range from the Boltzmann kinetic equation and hydrodynamics to the Fokker-Planck equations of polymer dynamics and models of chemical kinetics describing oxidation reactions. Special chapters are devoted to model reduction in classical statistical dynamics, natural selection, and exact solutions for slow hydrodynamic manifolds. The book will be a major reference source for both theoretical and applied model reduction. Intended primarily as a postgraduate-level text in nonequilibrium kinetics and model reduction, it will also be valuable to PhD students and researchers in applied mathematics, physics and various fields of engineering.

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Page Count

524

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3540226842

ISBN 13

9783540226840

Multi-Pulse Evolution and Space-Time Chaos in Dissipative Systems

By: Sergey Zelik,Alexander Mielke

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Multi-Pulse Evolution and Space-Time Chaos in Dissipative Systems

By: Sergey Zelik,Alexander Mielke

The authors study semilinear parabolic systems on the full space ${\mathbb R}^n$ that admit a family of exponentially decaying pulse-like steady states obtained via translations. The multi-pulse solutions under consideration look like the sum of infinitely many such pulses which are well separated. They prove a global center-manifold reduction theorem for the temporal evolution of such multi-pulse solutions and show that the dynamics of these solutions can be described by an infinite system of ODEs for the positions of the pulses. As an application of the developed theory, The authors verify the existence of Sinai-Bunimovich space-time chaos in 1D space-time periodically forced Swift-Hohenberg equation.

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Page Count

112

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821842641

ISBN 13

9780821842645

Longwave Instabilities and Patterns in Fluids

By: Sergey Shklyaev,Alexander Nepomnyashchy

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Longwave Instabilities and Patterns in Fluids

By: Sergey Shklyaev,Alexander Nepomnyashchy

This book summarizes the main advances in the field of nonlinear evolution and pattern formation caused by longwave instabilities in fluids. It will allow readers to master the multiscale asymptotic methods and become familiar with applications of these methods in a variety of physical problems. Longwave instabilities are inherent to a variety of systems in fluid dynamics, geophysics, electrodynamics, biophysics, and many others. The techniques of the derivation of longwave amplitude equations, as well as the analysis of numerous nonlinear equations, are discussed throughout. This book will be of value to researchers and graduate students in applied mathematics, physics, and engineering, in particular within the fields of fluid mechanics, heat and mass transfer theory, and nonlinear dynamics.

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Page Count

461

Publisher

Springer

Published Date

ISBN 10

1493975900

ISBN 13

9781493975907

The Dynamics Of Pattern

By: Alexander B Ezersky,Mikhail I Rabinovich,Patrick D Weidman

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The Dynamics Of Pattern

By: Alexander B Ezersky,Mikhail I Rabinovich,Patrick D Weidman

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

338

Publisher

World Scientific

Published Date

ISBN 10

9814494356

ISBN 13

9789814494359

Book's by Alexander B Ezersky

The Dynamics Of Pattern

The Dynamics Of Pattern

Invariant Manifolds for Physical and Chemical Kinetics

Invariant Manifolds for Physical and Chemical Kinetics

Multi-Pulse Evolution and Space-Time Chaos in Dissipative Systems

Multi-Pulse Evolution and Space-Time Chaos in Dissipative Systems

Longwave Instabilities and Patterns in Fluids

Longwave Instabilities and Patterns in Fluids

The Dynamics Of Pattern

The Dynamics Of Pattern

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