79 citations · 160 across the 23 of their papers we have counts for
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On the finite time blow-up for filtration problems with nonlinear reaction
Klemens Fellner, Evangelos Latos, Giovanni Pisante
We present results for finite time blow-up for filtration problems with nonlinear reaction under appropriate assumptions on the nonlinearities and the initial data. In particular,…
A discontinuous Poisson--Boltzmann equation with interfacial transfer: homogenisation and residual error estimate
Klemens Fellner, Victor Kovtunenko
A nonlinear Poisson--Boltzmann equation with transmission boundary conditions at the interface between two materials is investigated. The model describes the electrostatic potentia…
Quasi-steady-state approximation and numerical simulation for a volume-surface reaction-diffusion system
Tang Quoc Bao, Klemens Fellner, Stefan Rosenberger
The asymmetric stem-cell division of Drosophila SOP precursor cells is driven by the asymmetric localisation of the key protein Lgl (Lethal giant larvae) during mitosis, when Lgl i…
Well-posedness and exponential equilibration of a volume-surface reaction-diffusion system with nonlinear boundary coupling
Tang Quoc Bao, Klemens Fellner, Evangelos Latos
We consider a model system consisting of two reaction-diffusion equations, where one species diffuses in a volume while the other species diffuses on the surface which surrounds th…