Analysis of nonlinear poroviscoelastic flows with discontinuous porosities

Abstract

Existence and uniqueness of solutions is shown for a class of viscoelastic flows in porous media with particular attention to problems with nonsmooth porosities. The considered models are formulated in terms of the time-dependent nonlinear interaction between porosity and effective pressure, which in certain cases leads to porosity waves. In particular, conditions for well-posedness in the presence of initial porosities with jump discontinuities are identified.

34 pages

References in corpus (1)

• Degenerate dispersive equations arising in the study of magma dynamics

Cited by in corpus (2)

• Fluid flow channeling and mass transport with discontinuous porosity distribution
• An adaptive space-time method for nonlinear poroviscoelastic flows with discontinuous porosities