21 citations · 43 across the 19 of their papers we have counts for
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math.AP2016★ 21 cited
On the dynamics of a non-local parabolic equation arising from the Gierer-Meinhardt system
Nikos I. Kavallaris, Takashi Suzuki
The purpose of the current paper is to contribute to the comprehension of the dynamics of the shadow system of an activator-inhibitor system known as a Gierer-Meinhardt model. Shad…
math.AP2016
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…