Download or read book Free Boundaries in Rock Mechanics written by Anvarbek Meirmanov and published by Walter de Gruyter GmbH & Co KG. This book was released on 2017-09-11 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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