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Evolution Inclusions and Variation Inequalities for Earth Data Processing I

Operator Inclusions and Variation Inequalities for Earth Data Processing

  • Book
  • © 2011

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. Valery S. Mel'nik

    1. , Inst. for Appl.System Analysis, Nat. Techn. Univ. Ukraine, Kiev, Ukraine

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  3. Pavlo O. Kasyanov

    1. Kyiv Iaras Shevchenko University, Kiev, Ukraine

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  • A unique mathematical toolbox for solving problems in geophysics and earth sciences
  • Introduces new concepts
  • Written by experts

Part of the book series: Advances in Mechanics and Mathematics (AMMA, volume 24)

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Table of contents (2 chapters)

  1. Front Matter

    Pages i-xxx
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  2. Preliminary Results

    • Mikhail Z. Zgurovsky, Valery S. Mel’nik, Pavlo O. Kasyanov
    Pages 1-137

  3. Operator Inclusions and Variation Inequalities in Infinite-Dimensional Spaces

    • Mikhail Z. Zgurovsky, Valery S. Mel’nik, Pavlo O. Kasyanov
    Pages 139-244

  4. Back Matter

    Pages 245-247
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Keywords

About this book

Here, the authors present modern mathematical methods to solve problems of differential-operator inclusions and evolution variation inequalities which may occur in fields such as geophysics, aerohydrodynamics, or fluid dynamics. For the first time, they describe the detailed generalization of various approaches to the analysis of fundamentally nonlinear models and provide a toolbox of mathematical equations. These new mathematical methods can be applied to a broad spectrum of problems. Examples of these are phase changes, diffusion of electromagnetic, acoustic, vibro-, hydro- and seismoacoustic waves, or quantum mechanical effects. This is the first of two volumes dealing with the subject.

Authors and Affiliations

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

    Mikhail Z. Zgurovsky

  • , Inst. for Appl.System Analysis, Nat. Techn. Univ. Ukraine, Kiev, Ukraine

    Valery S. Mel'nik

  • Kyiv Iaras Shevchenko University, Kiev, Ukraine

    Pavlo O. Kasyanov

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