Free Boundaries in Rock Mechanics

By Oleg V Galtsev, Reshat N Zimin, Anvarbek Meirmanov, et al.

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

• Format: Hardcover
• Language: English
• ISBN: 3110544903
• ISBN13: 9783110544909
• Release Date: September 2017
• Publisher: de Gruyter
• Length: 220 Pages
• Weight: 1.22 lbs.
• Dimensions: 0.6" x 6.7" x 9.6"
• Grade Range: Postsecondary