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1000 tulosta hakusanalla Mikhail Paramonov

Evolution Inclusions and Variation Inequalities for Earth Data Processing III

Evolution Inclusions and Variation Inequalities for Earth Data Processing III

Mikhail Z. Zgurovsky; Pavlo O. Kasyanov; Oleksiy V. Kapustyan; José Valero; Nina V. Zadoianchuk

Springer-Verlag Berlin and Heidelberg GmbH Co. K
2012
sidottu
In this sequel to two earlier volumes, the authors now focus on the long-time behavior of evolution inclusions, based on the theory of extremal solutions to differential-operator problems. This approach is used to solve problems in climate research, geophysics, aerohydrodynamics, chemical kinetics or fluid dynamics. As in the previous volumes, the authors present a toolbox of mathematical equations. The book is based on seminars and lecture courses on multi-valued and non-linear analysis and their geophysical application.
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Evolution Inclusions and Variation Inequalities for Earth Data Processing III

Evolution Inclusions and Variation Inequalities for Earth Data Processing III

Mikhail Z. Zgurovsky; Pavlo O. Kasyanov; Oleksiy V. Kapustyan; José Valero; Nina V. Zadoianchuk

Springer-Verlag Berlin and Heidelberg GmbH Co. K
2014
nidottu
In this sequel to two earlier volumes, the authors now focus on the long-time behavior of evolution inclusions, based on the theory of extremal solutions to differential-operator problems. This approach is used to solve problems in climate research, geophysics, aerohydrodynamics, chemical kinetics or fluid dynamics. As in the previous volumes, the authors present a toolbox of mathematical equations. The book is based on seminars and lecture courses on multi-valued and non-linear analysis and their geophysical application.
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Tensor Algebra and Tensor Analysis for Engineers

Tensor Algebra and Tensor Analysis for Engineers

Mikhail Itskov

Springer-Verlag Berlin and Heidelberg GmbH Co. K
2014
nidottu
There is a large gap between the engineering course in tensor algebra on the one hand and the treatment of linear transformations within classical linear algebra on the other hand. The aim of this modern textbook is to bridge this gap by means of the consequent and fundamental exposition. The book primarily addresses engineering students with some initial knowledge of matrix algebra. Thereby the mathematical formalism is applied as far as it is absolutely necessary. Numerous exercises are provided in the book and are accompanied by solutions, enabling self-study. The last chapters of the book deal with modern developments in the theory of isotropic and anisotropic tensor functions and their applications to continuum mechanics and are therefore of high interest for PhD-students and scientists working in this area.This third edition is completed by a number of additional figures, examples and exercises. The text and formulae have been revised and improved where necessary.
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Nonlinear Analysis and Control of Physical Processes and Fields

Nonlinear Analysis and Control of Physical Processes and Fields

Mikhail Z. Zgurovsky; Valery S. Melnik

Springer-Verlag Berlin and Heidelberg GmbH Co. K
2012
nidottu
Modern achievements in the intensively developing field of applied mathematics are presented in this monograph. In particular, it proposes a new approach to extremal problem theory for nonlinear operators, differential-operator equations and inclusions, and for variational inequalities in Banach spaces. An axiomatic study of nonlinear maps (including multi-valued ones) is given, and the properties of resolving operators for systems, consisting of operator and differential-operator equations, are stated in nonlinear-map terms. The solvability conditions and the properties of extremal problem solutions are obtained, while their weak expansions and necessary conditions of optimality in variational inequality form are formulated. In addition. the monograph proposes regularization methods and approximation schemes. This book is adressed to scientists, graduates and undergraduates who are interested in nonlinear analysis, control theory, system analysis and differential equations.
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Asymptotic Analysis

Asymptotic Analysis

Mikhail V. Fedoryuk

Springer-Verlag Berlin and Heidelberg GmbH Co. K
2012
nidottu
In this book we present the main results on the asymptotic theory of ordinary linear differential equations and systems where there is a small parameter in the higher derivatives. We are concerned with the behaviour of solutions with respect to the parameter and for large values of the independent variable. The literature on this question is considerable and widely dispersed, but the methods of proofs are sufficiently similar for this material to be put together as a reference book. We have restricted ourselves to homogeneous equations. The asymptotic behaviour of an inhomogeneous equation can be obtained from the asymptotic behaviour of the corresponding fundamental system of solutions by applying methods for deriving asymptotic bounds on the relevant integrals. We systematically use the concept of an asymptotic expansion, details of which can if necessary be found in [Wasow 2, Olver 6]. By the "formal asymptotic solution" (F.A.S.) is understood a function which satisfies the equation to some degree of accuracy. Although this concept is not precisely defined, its meaning is always clear from the context. We also note that the term "Stokes line" used in the book is equivalent to the term "anti-Stokes line" employed in the physics literature.
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X-Ray and Neutron Diffraction in Nonideal Crystals

X-Ray and Neutron Diffraction in Nonideal Crystals

Mikhail A. Krivoglaz

Springer-Verlag Berlin and Heidelberg GmbH Co. K
2011
nidottu
Mikhail Alexandrovich Krivoglaz died unexpectedly when he was preparing the English edition of his two-volume monograph on diffraction and diffuse scatter­ ing of X-rays and neutrons in imperfect crystals. His death was a heavy blow to all who knew him, who had worked with him and to the world science community as a whole. The application of the diffraction techniques for the study of imperfections of crystal structures was the major field of Krivoglaz' work throughout his career in science. He started working in the field in the mid-fifties and since then made fundamental contributions to the theory of real crystals. His results have largely determined the current level of knowledge in this field for more than thirty years. Until the very last days of his life, Krivoglaz continued active studies in the physics of diffraction effects in real crystals. His interest in the theory aided in the explanation of the rapidly advancing experimental studies. The milestones marking important stages of his work were the first mono­ graph on the theory of X-ray and neutron scattering in real crystals which was published in Russian in 1967 (a revised English edition in 1969), and the two­ volume monograph published in Russian in 1983-84 (this edition is the revised translation of the latter).
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Diffuse Scattering of X-Rays and Neutrons by Fluctuations

Diffuse Scattering of X-Rays and Neutrons by Fluctuations

Mikhail A. Krivoglaz

Springer-Verlag Berlin and Heidelberg GmbH Co. K
2011
nidottu
Mikhail Alexandrovich Krivoglaz died unexpectedly when he was preparing the English edition of his two-volume monograph on diffraction and diffuse scattering of X-rays and neutrons in imperfect crystals. His death was a heavy blow to all who knew him, who had worked with him and to the world science community as a whole. The application of the diffraction techniques for the study of imperfections of crystal structures was the major field of Krivoglaz' work throughout his career in science. He started working in the field in the mid-fifties and since then made fundamental contributions to the theory of real crystals. His results have largely determined the current level of knowledge in this field for more than thirty years. Until the very last days of his life, Krivoglaz continued active studies in the physics of diffraction effects in real crystals. His interest in the theory aided in the explanation of the rapidly advancing experimental studies. The milestones marking important stages of his work were the first monograph on the theory of X-ray and neutron scattering in real crystals which was published in Russian in 1967 (a revised English edition in 1969), and the two-volume mono­ graph published in Russian in 1983-84 (this edition is the revised translation of the latter).
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Physical Approaches to Biological Evolution

Physical Approaches to Biological Evolution

Mikhail V. Volkenstein; M. Eigen

Springer-Verlag Berlin and Heidelberg GmbH Co. K
2011
nidottu
"Mr. Wolkenstein's Physical Approaches to Biological Evolution, whether or not it proves to give the ultimate truth on the matters with which it deals, certainly deserves, by its breadth and scope and profundity, to be considered an impor­ tant event in the philosophical world." This is a quotation from an introduction written by Bertrand Russell for Ludwig Wittgenstein's Tractatus Logico-Philosophicus. I exchanged only name and subject. As for the rest, I could continue quoting Russell, but I would rather say something myself. As Wittgenstein did with formal logic, Wolkenstein rectifies our views on how to approach the logic of life from a formal theoretical basis. Many bio­ logists do not believe that their subject lends itself to the scrutiny of physical theory. They certainly admit that one can simulate biological phenomena by models that can be expressed in a mathematical form. However, they do not believe that biology can be given a theoretical foundation that is defined within the general framework of physics. Rather, they insist on a holistic approach, banning any reduction to fundamental principles subject to physical theory.
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Rossby Vortices, Spiral Structures, Solitons

Rossby Vortices, Spiral Structures, Solitons

Mikhail V. Nezlin; Evgenii N. Snezhkin

Springer-Verlag Berlin and Heidelberg GmbH Co. K
2012
nidottu
This book can be looked upon in more ways than one. On the one hand, it describes strikingly interesting and lucid hydrodynamic experiments done in the style of the "good old days" when the physicist needed little more than a piece of string and some sealing wax. On the other hand, it demonstrates how a profound physical analogy can help to get a synoptic view on a broad range of nonlinear phenomena involving self-organization of vortical structures in planetary atmo­ spheres and oceans, in galaxies and in plasmas. In particular, this approach has elucidated the nature and the mechanism of such grand phenomena as the Great of galaxies. A number of our Red Spot vortex on Jupiter and the spiral arms predictions concerning the dynamics of spiral galaxies are now being confirmed by astronomical observations stimulated by our experiments. This book is based on the material most of which was accumulated during 1981-88 in close cooperation with our colleagues, experimenters from the Plasma Physics Department of the Kurchatov Atomic Energy Institute (S. V. Antipov, A. S. Trubnikov, AYu. Rylov, AV. Khutoretsky) and astrophysics theoreticians from the Astronomical Council of the USSR Academy of Sciences (AM. Frid­ man) and from the Volgograd State University (AG. Morozov). To all of them we wish to express our gratitude. Whenever we speak of "our experiments", the participation of the entire team is implied.
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Photorefractive Crystals in Coherent Optical Systems

Photorefractive Crystals in Coherent Optical Systems

Mikhail P. Petrov; Sergei I. Stepanov; Anatoly V. Khomenko

Springer-Verlag Berlin and Heidelberg GmbH Co. K
2014
nidottu
The phenomenon of photorefraction was discovered in 1966 in studies of propagation of a fairly powerful laser beam through the electro-optic crys- tals LiNb0 , LiTa0 , and some other compounds. The laser beam illumi- 3 3 nating part of the sample was found to cause a local change in the refrac- tive index of the crystal, thereby leading to distortion of the beam's wave front. The light had deteriorated the initially high optical quality of the crystal, in other words, it had given rise to a nonuniform distribution of the refractive index in the illuminated region. The effect was first called "opti- cal damage". The practical significance of the phenomenon was soon appreciated, applications were proposed, and a . vast amount of activity began. In the years that followed, the phenomenon was termed the "photorefractive ef- fect". Because of the reversible behavior of the refractive index variations due to photorefraction, photorefractive crystals have been regarded as re- cyclable photosensitive media. This became a valuable finding for optical engineers engaged in holography and optical information processing. On the other hand, the research into the nature of the photorefractive effect proved to be of considerable interest to physicists working in the fields of solid-state physics, semiconductors, and coherent optics.
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