101 citations · 296 across the 15 of their papers we have counts for
14 papers · 1 filter
A rigorous approach to pattern formation for isotropic isoperimetric problems with competing nonlocal interactions
Sara Daneri, Eris Runa
We introduce a rigorous approach to the study of the symmetry breaking and pattern formation phenomenon for isotropic functionals with local/nonlocal interactions in competition. W…
Deterministic particle approximation of aggregation diffusion equations with nonlinear mobility
Sara Daneri, Emanuela Radici, Eris Runa
We consider a class of aggregation-diffusion equations on unbounded one dimensional domains with Lipschitz nonincreasing mobility function. We show strong -convergence of a su…
Periodic striped configurations in the large volume limit
Sara Daneri, Eris Runa
We show striped pattern formation in the large volume limit for a class of generalized antiferromagnetic local/nonlocal interaction functionals in general dimension previously cons…
Exact periodic stripes for a local/nonlocal minimization problem with volume constraint
Sara Daneri, Eris Runa
We consider a class of generalized antiferromagnetic local/nonlocal interaction functionals in general dimension, where a short range attractive term of perimeter type competes wit…
One-dimensionality of the minimizers in the large volume limit for a diffuse interface attractive/repulsive model in general dimension
Sara Daneri, Eris Runa
In this paper we consider the diffuse interface generalized antiferromagnetic model with local/nonlocal attractive/repulsive terms in competition studied in Daneri-Kerschbaum-Runa…
Deterministic particle approximation of aggregation-diffusion equations on unbounded domains
Sara Daneri, Emanuela Radici, Eris Runa
We consider a one-dimensional aggregation-diffusion equation, which is the gradient flow in the Wasserstein space of a functional with competing attractive-repulsive interactions.…