582 citations · 1.8k across the 125 of their papers we have counts for
190 papers
Nonlocal eigenvalue problems and superposition operators
Serena Dipierro, Edoardo Proietti Lippi, Caterina Sportelli +1
We study the spectral theory of mixed local and nonlocal operators with lower-order terms in the right-hand side of the equation. This kind of problems is motivated by the analysis…
The Lévy flight foraging hypothesis: comparison between stationary distributions and anomalous diffusion
Serena Dipierro, Giovanni Giacomin, Enrico Valdinoci
We consider a stationary prey in a given region of space and we aim at detecting optimal foraging strategies. On the one hand, when the prey is uniformly distributed, the best poss…
Towards a long-range theory of capillarity
Enrico Valdinoci
We recall the classical theory of capillarity, describing the shape of a liquid droplet in a container, and present a recent approach which aims at accounting for long-range partic…
Napoleonic triangles on the sphere
Serena Dipierro, Lyle Noakes, Enrico Valdinoci
As is well-known, numerical experiments show that Napoleon's Theorem for planar triangles does not extend to a similar statement for triangles on the unit sphere . Spherical t…
Existence theory for a bushfire equation
Serena Dipierro, Enrico Valdinoci, Glen Wheeler +1
In a recent paper, we have introduced a new model to describe front propagation in bushfires. This model describes temperature diffusion in view of an ignition process induced by a…
A simple but effective bushfire model: analysis and real-time simulations
Serena Dipierro, Enrico Valdinoci, Glen Wheeler +1
We introduce a simple mathematical model for bushfires accounting for temperature diffusion in the presence of a combustion term which is activated above a given ignition state. Th…