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Meirmanov, Anvarbek [Author] ; Galtsev, Oleg V. [Other]; Zimin, Reshat N. [Other]

Free Boundaries in Rock Mechanics

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  • Media type: E-Book
  • Title: Free Boundaries in Rock Mechanics
  • Contains: Frontmatter -- -- Preface -- -- Contents -- -- 1. Introduction -- -- 2. The Hele–Shaw problem -- -- 3. A joint motion of two immiscible viscous fluids -- -- 4. Mathematical models of in-situ leaching -- -- 5. Dynamics of cracks in rocks -- -- A. Elements of continuum mechanics -- -- References -- -- Index
  • Contributor: Meirmanov, Anvarbek [Author]; Galtsev, Oleg V. [Other]; Zimin, Reshat N. [Other]
  • imprint: Berlin; Boston: De Gruyter, 2017
  • Published in: De Gruyter Series in Applied and Numerical Mathematics ; 1
  • Extent: 1 Online-Ressource
  • Language: English
  • DOI: 10.1515/9783110546163
  • ISBN: 9783110546163
  • Identifier:
  • Keywords: Rock mechanics ; Boundary value problems ; Boundary value problems. ; Rock mechanics. ; Bruchmechanik. ; Elliptische Differentialgleichung. ; Hele-Shaw-Strömung. ; Stefan-Problem. ; MATHEMATICS / Differential Equations / Partial
  • Origination:
  • Footnote: In English
    Mode of access: Internet via World Wide Web
  • Description: This monograph is concerned with free-boundary problems of partial differential equations arising in the physical sciences and in engineering. The existence and uniqueness of solutions to the Hele-Shaw problem are derived and techniques to deal with the Muskat problem are discussed. Based on these, mathematical models for the dynamics of cracks in underground rocks and in-situ leaching are developed. ContentsIntroductionThe Hele–Shaw problemA joint motion of two immiscible viscous fluidsMathematical models of in-situ leachingDynamics of cracks in rocksElements of continuum mechanics