51 citations · 54 across the 4 of their papers we have counts for
4 papers
On the density of the supremum of nonlinear SPDEs
Georgia Karali, Alexandra Stavrianidi, Konstantinos Tzirakis +1
We study the one-dimensional stochastic partial differential equation \begin{equation*} \frac{\partial u}{\partial t}(t,x) = -κ\frac{\partial^4 u}{\partial x^4}(t,x) + ρ\frac{\part…
The FitzHugh-Nagumo system on undulated cylinders: spontaneous symmetrization and effective system
Georgia Karali, Konstantinos Tzirakis, Israel Michael Sigal
We consider the FitzHugh-Nagumo system on undulated cylindrical surfaces modeling nerve axons. We show that for sufficiently small radii and for initial conditions close to radiall…
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…
Existence and regularity of solution for a Stochastic Cahn-Hilliard/Allen-Cahn equation with unbounded noise diffusion
Dimitra C. Antonopoulou, Geogia Karali, Annie Millet
The Cahn-Hilliard/Allen-Cahn equation with noise is a simplified mean field model of stochastic microscopic dynamics associated with adsorption and desorption-spin flip mechanisms…