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Evolution Inclusions and Variation Inequalities for Earth Data Processing III

Long-Time Behavior of Evolution Inclusions Solutions in Earth Data Analysis

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  • © 2012

Overview

Authors:
  1. Mikhail Z. Zgurovsky

    1. Institute for Applied System Analysis, National Academy of Science, Nat. Tech. University of Ukraine, Kiev, Ukraine

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  2. Pavlo O. Kasyanov

    1. Kyiv Polytechnic Institute, Inst. for Applied System Analysis, Nat. Techn. Univ. of Ukraine, Kyiv, Ukraine

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  3. Oleksiy V. Kapustyan

    1. Kyiv Polytechnic Institute, Inst. for Applied System Analysis, Nat. Techn. Univ. of Ukraine, Kyiv, Ukraine

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  4. José Valero

    1. , Centro de Investigación Operativa, Univ. Miguel Hernández de Elche, Alicante, Spain

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  5. Nina V. Zadoianchuk

    1. Kyiv Polytechnic Institute, Inst. for Applied System Analysis, Nat. Techn. Univ. of Ukraine, Kyiv, Ukraine

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  • A unique mathematical toolbox for solving problems in geophysics and earth sciences
  • Third volume on this subject
  • Written by experts
  • Includes supplementary material: sn.pub/extras

Part of the book series: Advances in Mechanics and Mathematics (AMMA, volume 27)

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-xli
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  2. Longtime Behavior of Autonomous Differential-Operator Systems Solutions for Earth Data Processing

    1. Front Matter

      Pages 1-1
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    2. Abstract Theory of Multivalued Semiflows

      • Mikhail Z. Zgurovsky, Pavlo O. Kasyanov, Oleksiy V. Kapustyan, José Valero, Nina V. Zadoianchuk
      Pages 3-36

    3. Auxiliary Properties of Evolution Inclusions Solutions for Earth Data Processing

      • Mikhail Z. Zgurovsky, Pavlo O. Kasyanov, Oleksiy V. Kapustyan, José Valero, Nina V. Zadoianchuk
      Pages 37-118

    4. Attractors for Lattice Dynamical Systems

      • Mikhail Z. Zgurovsky, Pavlo O. Kasyanov, Oleksiy V. Kapustyan, José Valero, Nina V. Zadoianchuk
      Pages 119-160

  3. Longtime Behavior of Nonautonomous Differential-Operator Systems Solutions for Earth Data Processing

    1. Front Matter

      Pages 161-161
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    2. On Global Attractors of Multivalued Semiprocesses and Nonautonomous Evolution Inclusions

      • Mikhail Z. Zgurovsky, Pavlo O. Kasyanov, Oleksiy V. Kapustyan, José Valero, Nina V. Zadoianchuk
      Pages 163-198

    3. On the Kneser’s Property for the Complex Ginzburg–Landau Equation and the Lotka–Volterra System with Diffusion

      • Mikhail Z. Zgurovsky, Pavlo O. Kasyanov, Oleksiy V. Kapustyan, José Valero, Nina V. Zadoianchuk
      Pages 199-230

    4. Pullback Attractors for a Class of Extremal Solutions of the 3D Navier–Stokes System

      • Mikhail Z. Zgurovsky, Pavlo O. Kasyanov, Oleksiy V. Kapustyan, José Valero, Nina V. Zadoianchuk
      Pages 231-257

    5. Properties of Resolving Operator for Nonautonomous Evolution Inclusions: Pullback Attractors

      • Mikhail Z. Zgurovsky, Pavlo O. Kasyanov, Oleksiy V. Kapustyan, José Valero, Nina V. Zadoianchuk
      Pages 259-319

  4. Back Matter

    Pages 323-330
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Keywords

About this book

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.

Authors and Affiliations

  • Institute for Applied System Analysis, National Academy of Science, Nat. Tech. University of Ukraine, Kiev, Ukraine

    Mikhail Z. Zgurovsky

  • Kyiv Polytechnic Institute, Inst. for Applied System Analysis, Nat. Techn. Univ. of Ukraine, Kyiv, Ukraine

    Pavlo O. Kasyanov, Oleksiy V. Kapustyan, Nina V. Zadoianchuk

  • , Centro de Investigación Operativa, Univ. Miguel Hernández de Elche, Alicante, Spain

    José Valero

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