23 citations · 76 across the 26 of their papers we have counts for
Showing 2018 · math.APShow all
3 papers · 2 filters
math.AP2018★ 2 cited
Homogenization of degenerate cross-diffusion systems
Ansgar Juengel, Mariya Ptashnyk
Two-scale homogenization limits of parabolic cross-diffusion systems in a heterogeneous medium with no-flux boundary conditions are proved. The heterogeneity of the medium is refle…
math.AP2018
Multiscale analysis and simulation of a signalling process with surface diffusion
Mariya Ptashnyk, Chandrasekhar Venkataraman
We present and analyse a model for cell signalling processes in biological tissues. The model includes diffusion and nonlinear reactions on the cell surfaces, and both inter- and i…
math.AP2018★ 1 cited
Homogenization of some degenerate pseudoparabolic variational inequalities
Mariya Ptashnyk
Multiscale analysis of a degenerate pseudoparabolic variational inequality, modelling the two-phase flow with dynamical capillary pressure in a perforated domain, is the main topic…