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.
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DOI	10.1088/1361-6544/ad0871