Free Boundaries in Rock Mechanics (De Gruyter Series in Applied and Numerical Mathematics)

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

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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
  • ISBN10 3110545047
  • ISBN13 9783110545043
  • Publish Date 11 September 2017
  • Publish Status Active
  • Publish Country DE
  • Imprint De Gruyter