Free Boundaries in Rock Mechanics

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 Additional ISBNs3110544903, 3110546167, 9783110544909, 9783110546163Free Boundaries in Rock Mechanics 1st Edition is written by Anvarbek Meirmanov; Oleg V. Galtsev; Reshat N. Zimin and published by De Gruyter. ISBNs for Free Boundaries in Rock Mechanics are 9783110545043, 3110545047 and the print ISBNs are 9783110544909, 3110544903. Additional ISBNs include 3110544903, 3110546167, 9783110544909, 9783110546163.