116 citations · 406 across the 19 of their papers we have counts for
4 papers · 1 filter
Stationary Expansion Shocks for a Regularized Boussinesq System
G. A. El, M. A. Hoefer, M. Shearer
Stationary expansion shocks have been recently identified as a new type of solution to hyperbolic conservation laws regularized by non-local dispersive terms that naturally arise i…
Well-posed continuum equations for granular flow with compressibility and -rheology
T. Barker, D. G. Schaeffer, M. Shearer +1
Continuum modelling of granular flow has been plagued with the issue of ill-posed equations for a long time. Equations for incompressible, two-dimensional flow based on the Coulomb…
Deformation of an Elastic Substrate Due to a Resting Sessile Droplet
Aaron Bardall, Karen E. Daniels, Michael Shearer
On a sufficiently-soft substrate, a resting fluid droplet will cause significant deformation of the substrate. This deformation is driven by a combination of capillary forces at th…
Expansion shock waves in regularised shallow water theory
Gennady A. El, Mark A. Hoefer, Michael Shearer
We identify a new type of shock wave by constructing a stationary expansion shock solution of a class of regularised shallow water equations that include the Benjamin-Bona-Mahoney…