Free Boundaries in Rock Mechanics
Author | : Anvarbek Meirmanov |
Publisher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 222 |
Release | : 2017-09-11 |
Genre | : Mathematics |
ISBN | : 3110546167 |
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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. 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