2 papers
math.NA2026
A Spectral-Based Method for Network-Formation PDEs
Pedro Aceves-Sanchez, Pierre Degond, Sara Merino-Aceituno +1
We propose and study a simple and scalable Fourier-based spectral method for a continuum model of network formation under periodic boundary conditions. The model provides the evolu…
math.AP2025
Macroscopic effects of an anisotropic Gaussian-type repulsive potential: nematic alignment and spatial effects
Sara Merino-Aceituno, Steffen Plunder, Claudia Wytrzens +1
Elongated particles in dense systems often exhibit alignment due to volume exclusion interactions, leading to packing configurations. Traditional models of collective dynamics typi…