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Free Boundaries in Rock Mechanics
Hardcover
Series: de Gruyter Applied and Numerical Mathematics, Book 1
ISBN13: 9783110544909
Publisher: De Gruyter
Published: Sep 11 2017
Pages: 220
Weight: 1.22
Height: 0.56 Width: 6.69 Depth: 9.61
Language: English
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
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