408 citations
- University of OxfordGB5 papers
- Peking UniversityCN4 papers
- Aalto UniversityFI3 papers
- FORTH Institute of Applied and Computational MathematicsGR3 papers
- University of CreteGR3 papers
- Bournemouth UniversityGB2 papers
- Centre National de la Recherche ScientifiqueFR2 papers
- Dundalk Institute of TechnologyIE2 papers
- Ferenc Rakoczi II Transcarpathian Hungarian UniversityUA2 papers
- Universidad Carlos III de MadridES2 papers
- University College LondonGB2 papers
- University of ManchesterGB2 papers
6 papers · 1 filter
Layer dynamics for the one dimensional -dependent Cahn-Hilliard / Allen-Cahn equation
Dimitra Antonopoulou, Georgia Karali, Konstantinos Tzirakis
We study the dynamics of the one-dimensional -dependent Cahn-Hilliard / Allen-Cahn equation within a neighborhood of an equilibrium of transition layers, that in g…
Diffusion-induced blowup solutions for the shadow limit model of a singular Gierer-Meinhardt system
G. Ky Duong, Nikos I. Kavallaris, Hatem Zaag
In the current paper, we provide a thorough investigation of the blowing up behaviour induced via diffusion of the solution of the following non local problem \begin{equation*} \le…
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…
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…
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…
Finite-time blow-up of a non-local stochastic parabolic problem
Nikos I. Kavallaris, Yubin Yan
The main aim of the current work is the study of the conditions under which (finite-time) blow-up of a non-local stochastic parabolic problem occurs. We first establish the existen…