1 citations · 1 across the 5 of their papers we have counts for
8 papers
Symmetry properties of minimizers of a perturbed Dirichlet energy with a boundary penalization
Giovanni Di Fratta, Antonin Monteil, Valeriy Slastikov
We consider -valued maps on a domain minimizing a perturbation of the Dirichlet energy with vertical penalization in and horizontal penaliz…
Micromagnetics of thin films in the presence of Dzyaloshinskii-Moriya interaction
Elisa Davoli, Giovanni Di Fratta, Dirk Praetorius +1
In this paper, we study the thin-film limit of the micromagnetic energy functional in the presence of bulk Dzyaloshinskii-Moriya interaction (DMI). Our analysis includes both a sta…
Parking 3-sphere swimmer II. The long arm asymptotic regime
François Alouges, Giovanni Di Fratta
The paper carries on our previous investigations on the complementary version of Purcell's rotator: a low-Reynolds-number swimmer composed of three balls of equal radii. In the asy…
Weak-strong uniqueness for the Landau-Lifshitz-Gilbert equation in micromagnetics
Giovanni Di Fratta, Michael Innerberger, Dirk Praetorius
We consider the time-dependent Landau-Lifshitz-Gilbert equation. We prove that each weak solution coincides with the (unique) strong solution, as long as the latter exists in time.…
Variational principles of micromagnetics revisited
Giovanni Di Fratta, Cyrill B. Muratov, Filipp N. Rybakov +1
We revisit the basic variational formulation of the minimization problem associated with the micromagnetic energy, with an emphasis on the treatment of the stray field contribution…
A short proof of local regularity of distributional solutions of Poisson's equation
Giovanni Di Fratta, Alberto Fiorenza
We prove a local regularity result for distributional solutions of the Poisson's equation with data. We use a very short argument based on Weyl's lemma and Riesz-Fréchet repr…