2 papers
math.AP2026
A review of compactness methods for cross-diffusion systems seen as Wasserstein gradient flows
Mathias Dus, Ansgar Jüngel
A comprehensive methodology for establishing the existence of gradient flows for cross-diffusion systems with respect to suitable energies is proposed. The approach is based on the…
math.NA2023
Numerical solution of Poisson partial differential equations in high dimension using two-layer neural networks
Mathias Dus, Virginie Ehrlacher
The aim of this article is to analyze numerical schemes using two-layer neural networks with infinite width for the resolution of the high-dimensional Poisson-Neumann partial diffe…