Free Boundaries in Rock Mechanics
| By: | Anvarbek Meirmanov; Oleg V. Galtsev; Reshat N. Zimin |
| Publisher: | De Gruyter |
| Print ISBN: | 9783110544909 |
| eText ISBN: | 9783110545043 |
| Edition: | 1 |
| Copyright: | 2017 |
| Format: | Reflowable |
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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