Background
Saichev, Alexander Ivanovich was born on December 12, 1946 in Gorky, Russia. Son of Ivan Alexandrovich and Rimma (Guseva) Saichev.
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- Works
book
Nonlinear Random Waves and Turbulence in Nondispersive Media: Waves, Rays, Particles (Nonlinear Science)
(This book is a theoretical study of the evolution laws of...)
This book is a theoretical study of the evolution laws of random nonlinear waves of diverse physical nature propagating in nondispersive media. The book discusses the experience gained when developing an approach mainly relying on a body of Lagrangian and Eulerian statistics of random fields. This method aims to allow one to embrace in a unified manner a wide variety of random strongly nonlinear waves in nondispersive media, to reveal their specific features and fundamental evolution laws, and, finally, to apply the results to the solution of some particular physical problems. The book is based on lectures delivered by the authors at the Radiophysical Department of the Gorky State University in different years, and is mainly supported by original works of authors in the statistics of nonlinear randomwaves of hydrodynamic type. Although the book contains many mathematical calculations, it has been written in physical language and at a physical level.
http://www.amazon.com/gp/product/071903275X/?tag=2022091-20
Distributions in the Physical and Engineering Sciences, Volume 2: Linear and Nonlinear Dynamics in Continuous Media (Applied and Numerical Harmonic Analysis)
( Distributions in the Physical and Engineering Sciences ...)
Distributions in the Physical and Engineering Sciences is a comprehensive exposition on analytic methods for solving science and engineering problems. It is written from the unifying viewpoint of distribution theory and enriched with many modern topics which are important for practitioners and researchers. The goal of the books is to give the reader, specialist and non-specialist, useable and modern mathematical tools in their research and analysis. Volume 2: Linear and Nonlinear Dynamics of Continuous Media continues the multivolume project which endeavors to show how the theory of distributions, also called the theory of generalized functions, can be used by graduate students and researchers in applied mathematics, physical sciences, and engineering. It contains an analysis of the three basic types of linear partial differential equations--elliptic, parabolic, and hyperbolic--as well as chapters on first-order nonlinear partial differential equations and conservation laws, and generalized solutions of first-order nonlinear PDEs. Nonlinear wave, growing interface, and Burger’s equations, KdV equations, and the equations of gas dynamics and porous media are also covered. The careful explanations, accessible writing style, many illustrations/examples and solutions also make it suitable for use as a self-study reference by anyone seeking greater understanding and proficiency in the problem solving methods presented. The book is ideal for a general scientific and engineering audience, yet it is mathematically precise. Features · Application oriented exposition of distributional (Dirac delta) methods in the theory of partial differential equations. Abstract formalism is keep to a minimum. · Careful and rich selection of examples and problems arising in real-life situations. Complete solutions to all exercises appear at the end of the book. · Clear explanations, motivations, and illustration of all necessary mathematical concepts.
http://www.amazon.com/gp/product/081763942X/?tag=2022091-20
Distributions in the Physical and Engineering Sciences: Distributional and Fractal Calculus, Integral Transforms and Wavelets (Applied and Numerical Harmonic Analysis)
( A comprehensive exposition on analytic methods for solv...)
A comprehensive exposition on analytic methods for solving science and engineering problems, written from the unifying viewpoint of distribution theory and enriched with many modern topics which are important to practioners and researchers. The book is ideal for a general scientific and engineering audience, yet it is mathematically precise.
http://www.amazon.com/gp/product/0817639241/?tag=2022091-20
Alexander Ivanovich Saichev
Edit Profilemathematician physicist researcher
Alexander Ivanovich Saichev, Russian mathematician, physicist, researcher. Achievements include investigations of fields evolution in random, nonhomogeneous and nonlinear media. Recipient Russian State Prize Laureate, 1997. Member Society Industrial and Applied Mathematics, International Information Academy.
Education
Master degree, Nizhny Novgorod State University, Russia, 1969. Doctor of Philosophy, Nizhny Novgorod State University, Russia, 1975. Doctor of Science, Nizhny Novgorod State University, Russia, 1983.
Career
Assistant professor Nizhy Novgorod State University, 1975-1984, head mathematics department, 1984-1989, head physical department Civil Engineering Academy, 1989-1991, full professor mathematics department, since 1991. Senior researcher Case Western Reserve University, Cleveland, 1993-1995. Long-term visitor Institute of Mathematics and its Applications, Minneapolis, 1994, Courant Institute of Mathematics Science, New York City, 1997.
Achievements
Works
book
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Distributions in the Physical and Engineering Sciences: Distributional and Fractal Calculus, Integral Transforms and Wavelets (Applied and Numerical Harmonic Analysis)
( A comprehensive exposition on analytic methods for solv...)
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Distributions in the Physical and Engineering Sciences, Volume 2: Linear and Nonlinear Dynamics in Continuous Media (Applied and Numerical Harmonic Analysis)
( Distributions in the Physical and Engineering Sciences ...)
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Nonlinear Random Waves and Turbulence in Nondispersive Media: Waves, Rays, Particles (Nonlinear Science)
(This book is a theoretical study of the evolution laws of...)
-
Distributions in the Physical and Engineering Sciences: Distributional and Fractal Calculus, Integral Transforms and Wavelets (Applied and Numerical Harmonic Analysis)
Membership
Member Society Industrial and Applied Mathematics, International Information Academy.
Connections
Married Tatyana Evgenyevna Poltanova, May 16, 1969. Children: Galina, Nina.
