3 citations · 7 across the 5 of their papers we have counts for
4 papers · 1 filter
Travelling waves in a PDE-ODE coupled system with nonlinear diffusion
Koondanibha Mitra, Jack M. Hughes, Stefanie Sonner +2
We analyze travelling wave (TW) solutions for nonlinear systems consisting of an ODE coupled to a degenerate PDE with a diffusion coefficient that vanishes as the solution tends to…
Travelling wave solutions for gravity fingering in porous media flows
K. Mitra, A. Rätz, B. Schweizer
We study an imbibition problem for porous media. When a wetted layer is above a dry medium, gravity leads to the propagation of the water downwards into the medium. In experiments,…
Capillary Hysteresis and Gravity Segregation in Two Phase Flow Through Porous Media
K. Mitra, C. J. van Duijn
We study the gravity-driven flow of two fluid phases in a one-dimensional homogeneous porous column when history dependence of the pressure difference between the phases (capillary…
Existence and properties of solutions of extended play-type hysteresis model
K. Mitra
This paper analyses the well-posedness and properties of the extended play-type model which was proposed in [van Duijn & Mitra (2018)] to incorporate hysteresis in unsaturated flow…