Hydrodynamic Limit with a Weierstrass-type result
Abstract
We show that any positive, continuous, and bounded function can be realised as the diffusion coefficient of an evolution equation associated with a gradient interacting particle system. The proof relies on the construction of an appropriate model and on the entropy method.
Fields of Study & Subjects
Stochastic processes and statistical mechanics
Geometric Analysis and Curvature Flows
Gas Dynamics and Kinetic Theory
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 15 January 2026
- Document type
- Preprint