9783110546163

Free Boundaries in Rock Mechanics

Anvarbek Meirmanov, Oleg V. Galtsev, Reshat N. Zimin

Publisher

Subject

,

Book Type

    Price

    $131.23 $118.12

    Buy

    Share On

    (Hardback | ISBN 9783110544909 | 211 pages | 2017)

    Summary

    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