608 RWTH Publication No: 951715        2023       
TITLE Analysis of nonlinear poroviscoelastic flows with discontinuous porosities
AUTHORS Markus Bachmayr, Simon Boisserée, Lisa Maria Kreusser
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.
DOI 10.1088/1361-6544/ad0871