3 citations · 5 across the 4 of their papers we have counts for
5 papers
A multiscale quasilinear system for colloids deposition in porous media: Weak solvability and numerical simulation of a near-clogging scenario
Michael Eden, Christos Nikolopoulos, Adrian Muntean
We study the weak solvability of a quasilinear reaction-diffusion system nonlinearly coupled with an linear elliptic system posed in a domain with distributed microscopic balls in…
Impacts of noise on quenching of some models arising in MEMS technology
Ourania Drosinou, Nikos I. Kavallaris, Christos V. Nikolopoulos
In the current work we study a stochastic parabolic problem. The underlying problem is actually motivated by the study of an idealized electrically actuated MEMS (Micro-Electro-Mec…
A study of a nonlocal problem with Robin boundary conditions arising from MEMS technology
Ourania Drosinou, Nikos I. Kavallaris, Christos V. Nikolopoulos
In the current work we study a nonlocal parabolic problem with Robin boundary conditions. The problem arises from the study of an idealized electrically actuated MEMS (Micro-Electr…
Colloidal Transport in Locally Periodic Evolving Porous Media -- An Upscaling Exercise
Adrian Muntean, Christos V. Nikolopoulos
We derive an upscaled model describing the aggregation and deposition of colloidal particles within a porous medium allowing for the possibility of local clogging of the pores. At…
On the quenching of a nonlocal parabolic problem arising in electrostatic MEMS control
Nikos Kavallaris, Andrew Lacey, Christos Nikolopoulos
We consider a nonlocal parabolic model for a micro-electro-mechanical system. Specifically, for a radially symmetric problem with monotonic initial data, it is shown that the solut…