Immiscible two-phase flow in a porous medium: Utilization of a Laplace transform boost

Michael J.E. Sternberg · Journal of Mathematical Physics · 1985

A boost operator is defined for the Laplace transform. It is used in conjunction with the Laplace transform to solve the diffusion equation on a domain with multiple moving boundaries. This problem arises in the study of immiscible multiphase flow in a finite medium, including end effects. Extensions of this method to the solution of other linear differential equations are conceivable.

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