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A comprehensive Darcy-type law for viscoplastic fluids: I. Framework
Emad Chaparian
https://arxiv.org/abs/2506.06184 https://arxiv.or…

A comprehensive Darcy-type law for viscoplastic fluids: I. Framework
A comprehensive Darcy-type law for viscoplastic fluids is proposed. Different regimes of yield-stress fluid flow in porous media can be categorised based on the Bingham number (i.e. the ratio of the yield stress to the characteristic viscous stress). In a recent study (Chaparian, J. Fluid Mech., vol. 980, A14, 2024), we addressed the yield/plastic limit (infinitely large Bingham number), namely, the onset of percolation when the applied pressure gradient is just sufficient to overcome the yield…

On Finite Element Methods for Heterogeneous Elliptic Problems
Abimael F. D. Loula, Maicon R. Correa, Jo\~ao N. C. Guerreiro, Elson M. Toledo
https://arxiv.org/abs/2506.08251

On Finite Element Methods for Heterogeneous Elliptic Problems
Dealing with variational formulations of second order elliptic problems with discontinuous coefficients, we recall a single field minimization problem of an extended functional presented by Bevilacqua et al (1974), which we associate with the basic idea supporting discontinuous Galerkin finite element methods. We review residual based stabilized mixed methods applied to Darcy flow in homogeneous porous media and extend them to heterogeneous media with an interface of discontinuity. For smooth i…

CNN's Post-Trial Purge (Oliver Darcy/Status)
https://www.status.news/p/alex-marquardt-cnn-exit-defamation-trial
http://www.memeorandum.com/250603/p94#a250603p94

This https://arxiv.org/abs/2504.10505 has been replaced.
initial toot: https://mastoxiv.page/@ar…

On sloshing in containers with porous baffles
Sloshing eigenvalues are studied for containers with porous baffles extending throughout the constant (possibly infinite) depth. The fluid transmission across the baffles is described by Darcy's law, and so the spectral problem is nonself-adjoint. In particular, much attention is paid to vertical cylinders with circular walls and radial baffles. Explicit solutions are obtained, whose crucial feature is that the corresponding pressure difference vanishes across the baffle. These real solutions c…