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Free Boundaries in Rock Mechanics (de Gruyter Series in Applied and Numerical Mathematics) - Anvarbek Meirmanov September 11, 2017 PDF  BOOKS
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Free Boundaries in Rock Mechanics (de Gruyter Series in Applied and Numerical Mathematics)
Author: Anvarbek Meirmanov
Year: September 11, 2017
Format: PDF
File size: PDF 15 MB
Language: English

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

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