Free Boundaries in Rock Mechanics
Anvarbek Meirmanov · Oleg V. Galtsev · Reshat N. Zimin
Sept 2017 · De Gruyter Series in Applied and Numerical Mathematics Book 1 · Walter de Gruyter GmbH & Co KG
eBook
220
Pages
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About this eBook
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
About the author
Anvarbek Meirmanov, Oleg Galtsev, R. Zimin, Yachay Tech, San Miguel de Urcuqui, Equador.
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