Free Boundaries in Rock Mechanics

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