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math.AP2024
Homogenization of the Richards equation in porous media: Multiscale modelling of water transport in vegetated soil
Andrew Mair, Mariya Ptashnyk
In this paper we consider the multiscale modelling of water transport in vegetated soil. In the microscopic model we distinguish between subdomains of soil and plant tissue, and us…
math.DS2024★ 1 cited
The Burgers-FKPP advection-reaction-diffusion equation with cut-off
Nikola Popovic, Mariya Ptashnyk, Zak Sattar
We investigate the effect of a Heaviside cut-off on the front propagation dynamics of the so-called Burgers-FisherKolmogoroff-Petrowskii-Piscounov (Burgers-FKPP) advection-reaction…