2 papers
cond-mat.stat-mech2026
A Finite Element Method for Fluctuating Navier--Stokes Equations
Dimitrios Gourzoulidis, Mirko Gallo, Soumaya Elkantassi +2
We introduce a finite-element framework for simulating thermal fluctuations in compressible fluids governed by the fluctuating Navier-Stokes equations. The method is designed to pr…
math.NA2026
A Physics-Informed Neural Network with a Modified Lorentzian Activation for Nonlocal Gradient-Flow Equations in Dynamic Density Functional Theory
Dimitrios Gourzoulidis, Soumaya Elkantassi, Serafim Kalliadasis
We develop a physics-informed neural network (PINN) framework for nonlocal partial differential equations arising in dynamic density functional theory (DDFT). Such equations are ch…