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. Contents Introduction The Hele-Shaw problem A joint motion of two immiscible viscous fluids Mathematical models of in-situ leaching Dynamics of cracks in rocks Elements of continuum mechanics

Free Boundaries in Rock Mechanics (De Gruyter Series in Applied and Numerical Mathematics, 1)

Science & Math

Meirmanov, Anvarbek

Galtsev, Oleg V.

Zimin, Reshat N.

Mathematics

Walter de Gruyter

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Books by Galtsev, Oleg V.

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Free Boundaries in Rock Mechanics (De Gruyter Series in Applied and Numerical Mathematics, 1)