ENGLISH

Free Boundaries in Rock Mechanics

By Anvarbek Meirmanov; Oleg V. Galtsev; Reshat N. Zimin

Book information

Publisher
de Gruyter
Year
2017
ISBN
9783110546163, 9783110544909
Language
english
Format
PDF
Filesize
2 MB (2090285 bytes)
Series
De Gruyter Series in Applied and Numerical Mathematics; 1
Pages
220\222
Time added
2023-05-30 06:39:13

Description

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 Develops mathematical models and tools to deal with common problems in Engineering (Rock mechanics) Proper mathematical treatment, while keeping the actual application in mind Preface Contents 1. Introduction 2. The Hele–Shaw problem 3. A joint motion of two immiscible viscous fluids 4. Mathematical models of in-situ leaching 5. Dynamics of cracks in rocks A. Elements of continuum mechanics References Index

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