Showing math.APShow all
2 papers · 1 filter
math.AP2026
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) + Ï\frac{\pa…
math.AP2025
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…