Year: 2026
Type: preprint
Abstract: In this note, we establish quantitative stability of aggregation-diffusion energy for compactly supported data. Our consideration focuses on the degenerate diffusion with local attraction that are asymptotically flat at infinity, such as Riesz kernels. We characterize the spectral gap of the Wasserstein Hessian at steady states.
Source: arXiv (Cornell University)
Author: Deng, Yunhong
Institution: University of Illinois Chicago
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7221042997