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Meirmanov / Galtsev / Zimin

Free Boundaries in Rock Mechanics

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eBook. PDF

eBook

2017

220 S.

In englischer Sprache

De Gruyter. ISBN 978-3-11-054616-3

Das Werk ist Teil der Reihe: De Gruyter Series in Applied and Numerical Mathematics

Produktbeschreibung

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