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Continuous and Distributed Systems

Theory and Applications

  • Book
  • © 2014

Overview

Editors:
  1. Mikhail Z. Zgurovsky

    1. National Academy of Science, National Technical University of Ukraine, Kiev, Ukraine

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    You can also search for this editor in PubMed   Google Scholar

  2. Victor A. Sadovnichiy

    1. Lomonosov Moscow State University, Moscow, Russia

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    You can also search for this editor in PubMed   Google Scholar

  • Closes the gap between mathematical approaches and practical applications
  • International team of experienced authors
  • Concise presentation of the subject

Part of the book series: Solid Mechanics and Its Applications (SMIA, volume 211)

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Table of contents (22 chapters)

  1. Front Matter

    Pages i-xix
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  2. Abstract Algebra and Applications

    1. Front Matter

      Pages 1-1
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    2. Algebra and Geometry Through Hamiltonian Systems

      • Anatoly T. Fomenko, Andrei Konyaev
      Pages 3-21

    3. On Hyperbolic Zeta Function of Lattices

      • L. P. Dobrovolskaya, M. N. Dobrovolsky, N. M. Dobrovol’skii, N. N. Dobrovolsky
      Pages 23-62

    4. The Distribution of Values of Arithmetic Functions

      • G. V. Fedorov
      Pages 63-66

    5. On the One Method of Constructing Digital Control System with Minimal Structure

      • V. V. Palin
      Pages 67-71

    6. On Norm Maps and “Universal Norms” of Formal Groups Over Integer Rings of Local Fields

      • Nikolaj M. Glazunov
      Pages 73-80

    7. Assignment of Factors Levels for Design of Experiments with Resource Constraints

      • S. A. Smirnov, O. O. Glushchenko, K. A. Ilchuk, I. L. Makeenko, N. A. Oriekhova
      Pages 81-86

  4. Long-time Forecasting in Multidisciplinary Investigations

    1. Front Matter

      Pages 147-147
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    2. Multivalued Dynamics of Solutions for Autonomous Operator Differential Equations in Strongest Topologies

      • Mikhail Z. Zgurovsky, Pavlo O. Kasyanov
      Pages 149-162

    3. Structure of Uniform Global Attractor for General Non-Autonomous Reaction-Diffusion System

      • Oleksiy V. Kapustyan, Pavlo O. Kasyanov, José Valero, Mikhail Z. Zgurovsky
      Pages 163-180

    4. Topological Properties of Strong Solutions for the 3D Navier-Stokes Equations

      • Pavlo O. Kasyanov, Luisa Toscano, Nina V. Zadoianchuk
      Pages 181-187

    5. Inertial Manifolds and Spectral Gap Properties for Wave Equations with Weak and Strong Dissipation

      • Natalia Chalkina
      Pages 189-203

    6. On Regularity of All Weak Solutions and Their Attractors for Reaction-Diffusion Inclusion in Unbounded Domain

      • Nataliia V. Gorban, Pavlo O. Kasyanov
      Pages 205-220

    7. On Global Attractors for Autonomous Damped Wave Equation with Discontinuous Nonlinearity

      • Nataliia V. Gorban, Oleksiy V. Kapustyan, Pavlo O. Kasyanov, Liliia S. Paliichuk
      Pages 221-237
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Keywords

About this book

In this volume, the authors close the gap between abstract mathematical approaches, such as abstract algebra, number theory, nonlinear functional analysis, partial differential equations, methods of nonlinear and multi-valued analysis, on the one hand, and practical applications in nonlinear mechanics, decision making theory and control theory on the other.

Readers will also benefit from the presentation of modern mathematical modeling methods for the numerical solution of complicated engineering problems in hydromechanics, geophysics and mechanics of continua. This compilation will be of interest to mathematicians and engineers working at the interface of these field. It presents selected works of the open seminar series of Lomonosov Moscow State University and the National Technical University of Ukraine “Kyiv Polytechnic Institute”. The authors come from Germany, Italy, Spain, Russia, Ukraine, and the USA.

Editors and Affiliations

  • National Academy of Science, National Technical University of Ukraine, Kiev, Ukraine

    Mikhail Z. Zgurovsky

  • Lomonosov Moscow State University, Moscow, Russia

    Victor A. Sadovnichiy

About the editors

Viktor A. Sadovnichiy, Lomonosov Moscow State University; Michael Z. Zgurovsky, National Technical University of Ukraine "Kiev Polytechnic Institute".

Bibliographic Information

  • Book Title: Continuous and Distributed Systems

  • Book Subtitle: Theory and Applications

  • Editors: Mikhail Z. Zgurovsky, Victor A. Sadovnichiy

  • Series Title: Solid Mechanics and Its Applications

  • DOI: https://doi.org/10.1007/978-3-319-03146-0

  • Publisher: Springer Cham

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer International Publishing Switzerland 2014

  • Hardcover ISBN: 978-3-319-03145-3Published: 10 December 2013

  • Softcover ISBN: 978-3-319-37878-7Published: 03 September 2016

  • eBook ISBN: 978-3-319-03146-0Published: 26 November 2013

  • Series ISSN: 0925-0042

  • Series E-ISSN: 2214-7764

  • Edition Number: 1

  • Number of Pages: XIX, 333

  • Number of Illustrations: 19 b/w illustrations, 14 illustrations in colour

  • Topics: Theoretical and Applied Mechanics, Systems Theory, Control, Physical Chemistry

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