4 papers
Long-time behavior for systems of Fisher-KPP type with interacting components
Alexandra Stavrianidi
We study the long-time behavior of a triangular system of Fisher--KPP type with interacting components, associated with a reducible multitype branching Brownian motion with …
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…
Improving physics-informed neural network extrapolation via transfer learning and adaptive activation functions
Athanasios Papastathopoulos-Katsaros, Alexandra Stavrianidi, Zhandong Liu
Physics-Informed Neural Networks (PINNs) are deep learning models that incorporate the governing physical laws of a system into the learning process, making them well-suited for so…
Malliavin Calculus for the stochastic heat equation and results on the density
D. Farazakis, G. Karali, A. Stavrianidi
We study the one-dimensional stochastic heat equation with unbounded, nonlinear,Lipschitz coefficients with Dirichlet boundary conditions. Using Malliavin calculus, we construct a…