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
- Format eBook
- Pages 220
- Language English
- URL https://degruyter.com/isbn/9783110545043