Free Boundaries in Rock Mechanics
Autor: | Anvarbek Meirmanov, Oleg V. Galtsev, Reshat N. Zimin |
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EAN: | 9783110546163 |
eBook Format: | |
Sprache: | Englisch |
Produktart: | eBook |
Veröffentlichungsdatum: | 11.09.2017 |
Kategorie: | |
Schlagworte: | Bruchmechanik Elliptische Differentialgleichung Hele-Shaw-Strömung Stefan-Problem |
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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
Anvarbek Meirmanov, Oleg Galtsev, R. Zimin, Yachay Tech, San Miguel de Urcuqui, Equador.