49 citations · 57 across the 8 of their papers we have counts for
8 papers
Well-posedness and qualitative properties of quasilinear degenerate evolution systems
Koondanibha Mitra, Stefanie Sonner
We analyze nonlinear degenerate coupled PDE-PDE and PDE-ODE systems that arise, for example, in the modelling of biofilm growth. One of the equations, describing the evolution of a…
An adaptive solution strategy for Richards' equation
Jakob S. Stokke, Koondanibha Mitra, Erlend Storvik +2
Flow in variably saturated porous media is typically modelled by the Richards equation, a nonlinear elliptic-parabolic equation which is notoriously challenging to solve numericall…
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…