408 citations
- University of OxfordGB5 papers
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Showing 2016 · math.APShow all
3 papers · 2 filters
math.AP2016★ 9 cited
On the Dirichlet to Neumann Problem for the 1-dimensional Cubic NLS equation on the Half-Line; Zero Initial Data
Dimitra C. Antonopoulou, Spyridon Kamvissis
Initial-boundary value problems for 1-dimensional `completely integrable' equations can be solved via an extension of the inverse scattering method, which is due to Fokas and his c…
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…