arXiv subjects

Luca Bisconti

Publications and source records attributed to Luca Bisconti.

22 records · Page 2Linked to original sources

arXiv2011

Harmonic solutions to a class of differential-algebraic equations with separated variables

We study the set of T-periodic solutions of a class of T-periodically perturbed Differential-Algebraic Equations with separated variables. Under suitable hypotheses, these equations are equivalent to separated variables ODEs on a manifold. By combining known results on Differential-Algebraic Equations, with an argument about ODEs on manifolds, we obtain a global continuation result for the T-periodic solutions to the considered equations. As an application of our method, a multiplicity result is provided.

math.CA↗

arXiv2010

Some results on the well-posedness of Euler-Voigt and Navier-Stokes-Voigt models

We consider the Euler-Voigt equations and the Navier-Stokes-Voigt equations, which are obtained by an inviscid alpha-regularization from the corresponding equations. The main result we show is the structural stability of the system in term of the variations of both viscosity of regularization parameters.

math.AP↗

arXiv2009

Self Dual Einstein Orbifolds with Few Symmetries as Quaternion Kaehler Quotients

We construct a new family of compact orbifolds with a positive self dual Einstein metric and a one-dimensional group of isometries. Together with another known family, these examples classify all 4-dimensional orbifolds that are quaternion Kaehler quotients by a torus of real Grassmannians.

math.DG↗

arXiv2007

Positive Self Dual Einstein Orbifolds with One-Dimensional Isometry Group

The aim of this thesis is to construct new examples of compact orbifolds $\mathcal{O}^4(Θ)$ which admit a self dual Einstein (SDE) metric of positive scalar curvature $s>0$, with a one-dimensional group of isometries. In particular we want to prove that these examples are different from those described by Boyer, Galicki and Piccinni in \emph{$3-$Sasakian geometry, nilpotents orbits, and exeptional quotients}. We construct explicitly our new examples as quaternion-K$\ddot{\mathrm{a}}$hler reductions of the quaternion K$\ddot{\mathrm{a}}$hler Grassmannian $Gr_4(\mathbb{R}^8)$ by an isometric action of a $3-$torus $T^3_Θ\subset T^4\subset SO(8)$ $\subset Sp(8)$ on the sphere $S^{31}\subset \mathbb{H}^8$, where $Θ$ is an interger $3\times 4$ weight matrix.

math.DG↗