69 citations · 196 across the 30 of their papers we have counts for
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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…
Numerical approximation of the first -Laplace eigenpair
Hannah Potgieter, Razvan C. Fetecau, Steven J. Ruuth
We approximate the first Dirichlet eigenpair of the -Laplace operator for on both Euclidean and surface domains. We emphasize large values and discuss ho…
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…
Geodesic distance approximation using a surface finite element method for the -Laplacian
Hannah Potgieter, Razvan C. Fetecau, Steven J. Ruuth
We use the -Laplacian with large -values in order to approximate geodesic distances to features on surfaces. This differs from Fayolle and Belyaev's (2018) [1] computational…
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…
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…