Free Boundaries in Rock Mechanics PDF
222 Pages·2017·1.993 MB·English
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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 Develops mathematical models and tools to deal with common problems in Engineering (Rock mechanics) Proper mathematical treatment, while keeping the actual application in mind
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