A.V. Fursikov's Books

Mathematical Problems of Statistical Hydromechanics

By: M.I. Vishik,A.V. Fursikov

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Mathematical Problems of Statistical Hydromechanics

By: M.I. Vishik,A.V. Fursikov

Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The ScandiJI of Father 'The Hermit Clad in Crane Feathers' in R. Brow" 'The point of a Pin'. van Gu\ik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.

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584

Publisher

Springer Science & Business Media

Published Date

ISBN 10

9400914237

ISBN 13

9789400914230

Optimal Control of Distributed Systems. Theory and Applications

Theory and Applications

By: A. V. Fursikov

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Optimal Control of Distributed Systems. Theory and Applications

Theory and Applications

By: A. V. Fursikov

This volume presents the analysis of optimal control problems for systems described by partial differential equations. The book offers simple and clear exposition of main results in this area. The methods proposed by the author cover cases where the controlled system corresponds to well-posed or ill-posed boundary value problems, which can be linear or nonlinear. The uniqueness problem for the solution of nonlinear optimal control problems is analyzed in various settings. Solutions of several previously unsolved problems are given. In addition, general methods are applied to the study of two problems connected with optimal control of fluid flows described by the Navier-Stokes equations.

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Page Count

324

Publisher

American Mathematical Soc.

Published Date

ISBN 10

082189790X

ISBN 13

9780821897904

Integration on Infinite-Dimensional Surfaces and Its Applications

By: A. V. Uglanov

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Integration on Infinite-Dimensional Surfaces and Its Applications

By: A. V. Uglanov

This book presents the theory of integration over surfaces in abstract topological vector space. Applications of the theory in different fields, such as infinite dimensional distributions and differential equations (including boundary value problems), stochastic processes, approximation of functions, and calculus of variation on a Banach space, are treated in detail. Audience: This book will be of interest to specialists in functional analysis, and those whose work involves measure and integration, probability theory and stochastic processes, partial differential equations and mathematical physics.

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Page Count

294

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0792361334

ISBN 13

9780792361336

Boundary Value Problems in Mechanics of Nonhomogeneous Fluids

By: S.N. Antontsev,A.V. Kazhiktov,V.N. Monakhov

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Boundary Value Problems in Mechanics of Nonhomogeneous Fluids

By: S.N. Antontsev,A.V. Kazhiktov,V.N. Monakhov

The objective of this book is to report the results of investigations made by the authors into certain hydrodynamical models with nonlinear systems of partial differential equations.The investigations involve the results concerning Navier-Stokes equations of viscous heat-conductive gas, incompressible nonhomogeneous fluid and filtration of multi-phase mixture in a porous medium. The correctness of the initial boundary-value problems and the qualitative properties of solutions are also considered. The book is written for those who are interested in the theory of nonlinear partial differential equations and their applications in mechanics.

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Page Count

323

Publisher

Elsevier

Published Date

ISBN 10

0080875432

ISBN 13

9780080875439

Hydrodynamics, Mass and Heat Transfer in Chemical Engineering

By: Andrei D. Polyanin,A.M. Kutepov,D.A. Kazenin,A.V. Vyazmin

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Hydrodynamics, Mass and Heat Transfer in Chemical Engineering

By: Andrei D. Polyanin,A.M. Kutepov,D.A. Kazenin,A.V. Vyazmin

Hydrodynamics, Mass and Heat Transfer in Chemical Engineering contains a concise and systematic exposition of fundamental problems of hydrodynamics, heat and mass transfer, and physicochemical hydrodynamics, which constitute the theoretical basis of chemical engineering in science. Areas covered include: fluid flows; processes of chemical engineeri

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Page Count

409

Publisher

CRC Press

Published Date

ISBN 10

1420024515

ISBN 13

9781420024517

Mathematical Problems of Statistical Hydromechanics

By: M.I. Vishik,A.V. Fursikov

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Mathematical Problems of Statistical Hydromechanics

By: M.I. Vishik,A.V. Fursikov

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

584

Publisher

Springer Science & Business Media

Published Date

ISBN 10

9400914237

ISBN 13

9789400914230

Book's by A.V. Fursikov

Mathematical Problems of Statistical Hydromechanics

Mathematical Problems of Statistical Hydromechanics

Optimal Control of Distributed Systems. Theory and Applications

Optimal Control of Distributed Systems. Theory and Applications

Integration on Infinite-Dimensional Surfaces and Its Applications

Integration on Infinite-Dimensional Surfaces and Its Applications

Boundary Value Problems in Mechanics of Nonhomogeneous Fluids

Boundary Value Problems in Mechanics of Nonhomogeneous Fluids

Hydrodynamics, Mass and Heat Transfer in Chemical Engineering

Hydrodynamics, Mass and Heat Transfer in Chemical Engineering

Mathematical Problems of Statistical Hydromechanics

Mathematical Problems of Statistical Hydromechanics

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