5 papers · 1 filter
Ground states and phase transitions for an aggregation model with fast diffusion on sphere
Razvan C. Fetecau, Hansol Park
We consider a free energy on the sphere that contains an entropy associated to nonlinear fast diffusion, and a nonlocal interaction energy. The two components of the free energy co…
Bifurcation of global energy minimizers for a diffusion-aggregation model on sphere
Razvan C. Fetecau, Hansol Park, Vishnu Vaidya
We consider a free energy functional defined on probability densities on the unit sphere , and investigate its global minimizers. The energy consists of two component…
Global energy minimizers for a diffusion-aggregation model on sphere
Razvan C. Fetecau, Hansol Park, Vishnu Vaidya
We investigate the ground states of a free energy functional on sphere. The energy consists of an entropy and a nonlocal interaction term that are in competition with each other, a…
Global minimizers for fast diffusion versus nonlocal interactions on negatively curved manifolds
José A. Carrillo, Razvan C. Fetecau, Hansol Park
We investigate the existence of ground states for a free energy functional on Cartan-Hadamard manifolds. The energy, which consists of an entropy and an interaction term, is associ…
Existence of ground states for free energies on the hyperbolic space
José A. Carrillo, Razvan C. Fetecau, Hansol Park
We investigate a free energy functional that arises in aggregation-diffusion phenomena modelled by nonlocal interactions and local repulsion on the hyperbolic space $\bbh^\dm$. The…