Serguei Nazarov's Books

Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains

Volume I

By: Vladimir Maz'ya,Serguei Nazarov,Boris Plamenevskij

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Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains

Volume I

By: Vladimir Maz'ya,Serguei Nazarov,Boris Plamenevskij

For the first time in the mathematical literature, this two-volume work introduces a unified and general approach to the subject. To a large extent, the book is based on the authors’ work, and has no significant overlap with other books on the theory of elliptic boundary value problems.

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448

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Birkhäuser

Published Date

ISBN 10

3034884346

ISBN 13

9783034884341

Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains Volume II

Volume II

By: Vladimir Maz'ya,Serguei Nazarov,Boris Plamenevskij

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Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains Volume II

Volume II

By: Vladimir Maz'ya,Serguei Nazarov,Boris Plamenevskij

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336

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Birkhäuser

Published Date

ISBN 10

303488432X

ISBN 13

9783034884327

Stochastic Climate Theory

Models and Applications

By: Serguei G. Dobrovolski

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Stochastic Climate Theory

Models and Applications

By: Serguei G. Dobrovolski

The author describes the stochastic (probabilistic) approach to the study of changes in the climate system. Climatic data and theoretical considerations suggest that a large part of climatic variation/variability has a random nature and can be analyzed using the theory of stochastic processes. This work summarizes the results of processing existing records of climatic parameters as well as appropriate theories: from the theory of random processes (based on the results of Kolmogorov and Yaglom) and Hasselmann's "stochastic climate model theory" to recently obtained results.

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Page Count

290

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3662041197

ISBN 13

9783662041192

Non-homogeneous Random Walks

Lyapunov Function Methods for Near-Critical Stochastic Systems

By: Mikhail Menshikov,Serguei Popov,Andrew Wade

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Non-homogeneous Random Walks

Lyapunov Function Methods for Near-Critical Stochastic Systems

By: Mikhail Menshikov,Serguei Popov,Andrew Wade

Stochastic systems provide powerful abstract models for a variety of important real-life applications: for example, power supply, traffic flow, data transmission. They (and the real systems they model) are often subject to phase transitions, behaving in one way when a parameter is below a certain critical value, then switching behaviour as soon as that critical value is reached. In a real system, we do not necessarily have control over all the parameter values, so it is important to know how to find critical points and to understand system behaviour near these points. This book is a modern presentation of the 'semimartingale' or 'Lyapunov function' method applied to near-critical stochastic systems, exemplified by non-homogeneous random walks. Applications treat near-critical stochastic systems and range across modern probability theory from stochastic billiards models to interacting particle systems. Spatially non-homogeneous random walks are explored in depth, as they provide prototypical near-critical systems.

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Page Count

385

Publisher

Cambridge University Press

Published Date

ISBN 10

1316867366

ISBN 13

9781316867365

Entropy Bounds and Isoperimetry

By: Serguei Germanovich Bobkov,B. Zegarlinski

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Entropy Bounds and Isoperimetry

By: Serguei Germanovich Bobkov,B. Zegarlinski

In these memoirs Bobkov and Zegarlinski describe interesting developments in infinite dimensional analysis that moved it away from experimental science. Here they also describe Poincar -type inequalities, entropy and Orlicz spaces, LSq and Hardy-type inequalities on the line, probability measures satisfying LSq inequalities on the real line, expo

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American Mathematical Soc.

Published Date

ISBN 10

082183858X

ISBN 13

9780821838587

Heterogeneous Catalytic Redox Reactions

Fundamentals and Applications

By: Vladislav Sadykov,Serguei Tikhov,Lyubov Isupova

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Heterogeneous Catalytic Redox Reactions

Fundamentals and Applications

By: Vladislav Sadykov,Serguei Tikhov,Lyubov Isupova

The current book brings together cutting-edge research in the area of heterogeneous catalytic redox processes. The first part of the book covers the catalytic properties of transition metal oxides and the techniques for catalysts preparation, such as mechanochemistry, plasmochemistry, hydrothermal treatment, etc. Further the authors focus on mechanisms of heterogeneous redox reactions followed by the overview of industrial applications.

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Page Count

258

Publisher

Walter de Gruyter GmbH & Co KG

Published Date

ISBN 10

3110587777

ISBN 13

9783110587777

Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains

Volume I

By: Vladimir Maz'ya,Serguei Nazarov,Boris Plamenevskij

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Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains

Volume I

By: Vladimir Maz'ya,Serguei Nazarov,Boris Plamenevskij

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Page Count

448

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Birkhäuser

Published Date

ISBN 10

3034884346

ISBN 13

9783034884341

Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains Volume II

Volume II

By: Vladimir Maz'ya,Serguei Nazarov,Boris Plamenevskij

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Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains Volume II

Volume II

By: Vladimir Maz'ya,Serguei Nazarov,Boris Plamenevskij

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Page Count

336

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Birkhäuser

Published Date

ISBN 10

303488432X

ISBN 13

9783034884327

Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains

SET

By: Vladimir Maz'ya,Serguei Nazarov,Boris Plamenevskij

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Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains

SET

By: Vladimir Maz'ya,Serguei Nazarov,Boris Plamenevskij

For the first time in the mathematical literature this two-volume work introduces a unified and general approach to the asymptotic analysis of elliptic boundary value problems in singularly perturbed domains. While the first volume is devoted to perturbations of the boundary near isolated singular points, the second volume treats singularities of the boundary in higher dimensions as well as nonlocal perturbations. At the core of this work are solutions of elliptic boundary value problems by asymptotic expansion in powers of a small parameter that characterizes the perturbation of the domain. In particular, it treats the important special cases of thin domains, domains with small cavities, inclusions or ligaments, rounded corners and edges, and problems with rapid oscillations of the boundary or the coefficients of the differential operator. The methods presented here capitalize on the theory of elliptic boundary value problems with nonsmooth boundary that has been developed in the past thirty years. Moreover, a study on the homogenization of differential and difference equations on periodic grids and lattices is given. Much attention is paid to concrete problems in mathematical physics, particularly elasticity theory and electrostatics. To a large extent the work is based on the authors' work and has no significant overlap with other books on the theory of elliptic boundary value problems.

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Page Count

758

Publisher

Birkhäuser

Published Date

ISBN 10

3764329645

ISBN 13

9783764329648

Book's by Serguei Nazarov

Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains

Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains

Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains Volume II

Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains Volume II

Stochastic Climate Theory

Stochastic Climate Theory

Non-homogeneous Random Walks

Non-homogeneous Random Walks

Entropy Bounds and Isoperimetry

Entropy Bounds and Isoperimetry

Heterogeneous Catalytic Redox Reactions

Heterogeneous Catalytic Redox Reactions

Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains

Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains

Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains Volume II

Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains Volume II

Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains

Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains

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