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  • © 2014

Continuous and Distributed Systems

Theory and Applications

  • 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
  2. Abstract Algebra and Applications

    1. Front Matter

      Pages 1-1
    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. 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
  3. Long-time Forecasting in Multidisciplinary Investigations

    1. Front Matter

      Pages 147-147
    2. 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
    3. Topological Properties of Strong Solutions for the 3D Navier-Stokes Equations

      • Pavlo O. Kasyanov, Luisa Toscano, Nina V. Zadoianchuk
      Pages 181-187
    4. 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

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

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access