Now showing items 1-4 of 4
Liquid crystal defects in the Landau–de Gennes theory in two dimensions — Beyond the one-constant approximation
(Mathematical Models and Methods in Applied Sciences, 2016-12-31)
We consider the two-dimensional Landau-de Gennes energy with several elastic constants, subject to general $k$-radially symmetric boundary conditions. We show that for generic elastic constants the critical points consistent ...
Dimension reduction for the micromagnetic energy functional on curved thin films
Micromagnetic con gurations of the vortex and onion type have beenwidely studied in the context of planar structures. Recently a signi cant interest to micromagnetic curved thin lms has appeared. In particular, thin ...
On the controllability of Partial Differential Equations involving non-local terms and singular potentials
In this thesis, we investigate controllability and observability properties of Partial Differential Equations describing various phenomena appearing in several fields of the applied sciences such as elasticity theory, ...
Optimal control of the Lotka–Volterra system: turnpike property and numerical simulations
(Journal of Biological Dynamics, 2016-09-01)
The Lotka-Volterra model is a differential system of two coupled equations representing the interaction of two species: a prey one and a predator one. We formulate an optimal control problem adding the effect of hunting ...