University of Pisa

output

19922026

most citedObservation of Gravitational Waves from a Binary Black Hole Merger

14.2k citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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Showing 2020 · math.APShow all

25 papers · 2 filters

math.AP2020★ 1 cited

Anisotropic curvature flow of immersed networks

Heiko Kroener, Matteo Novaga, Paola Pozzi

We consider motion by anisotropic curvature of a network of three curves immersed in the plane meeting at a triple junction and with the other ends fixed. We show existence, unique…

math.AP2020

Some Existence Results for a Singular Elliptic Problem via Bifurcation Theory

Claudio Saccon

We study a semilinear elliptic problem with a singular nonlinear term of the type $g (u) = - u^{- 1}$ , using a variational approach. Note that the minus sign is important since the corr…

math.AP2020★ 20 cited

Nonexistence of global solutions for generalized Tricomi equations with combined nonlinearity

Wenhui Chen, Sandra Lucente, Alessandro Palmieri

In the present paper, we investigate the blow-up dynamics for local solutions to the semilinear generalized Tricomi equation with combined nonlinearity. As a result, we enlarge the…

math.AP2020★ 5 cited

Necessary and sufficient condition for global existence of $L^{2}$ solutions for 1D periodic NLS with non-gauge invariant quadratic nonlinearity

Kazumasa Fujiwara, Vladimir Georgiev

We study 1D NLS with non-gauge invariant quadratic nonlinearity on the torus. The Cauchy problem admits trivial global solutions which are constant with respect to space. The non-e…

math.AP2020★ 7 cited

Blowup dynamics for Mass Critical Half-wave equation in 3D

Vladimir Georgiev, Yuan Li

We consider the half-wave equation $i u_{t} = D u - ∣ u ∣^{\frac{2}{3}} u$ in three dimension and in the mass critical. For initial data $u (t_{0}, x) = u_{0} (x) \in H_{r a d}^{1/2} (R^{3})$ with…

math.AP2020★ 21 cited

Blow-up results for semilinear damped wave equations in Einstein-de Sitter spacetime

Alessandro Palmieri

We prove by using an iteration argument some blow-up results for a semilinear damped wave equation in generalized Einstein-de Sitter spacetime with a time-dependent coefficient for…

math.AP2020★ 11 cited

Lifespan estimates for local solutions to the semilinear wave equation in Einstein-de Sitter spacetime

Alessandro Palmieri

In this paper, we prove some blow-up results for the semilinear wave equation in generalized Einstein-de Sitter spacetime by using an iteration argument and we derive upper bound e…

math.AP2020★ 34 cited

A survey of the elastic flow of curves and networks

Carlo Mantegazza, Alessandra Pluda, Marco Pozzetta

We collect and present in a unified way several results in recent years about the elastic flow of curves and networks, trying to draw the state of the art of the subject. In partic…

math.AP2020★ 3 cited

Convergence of asymptotic costs for random Euclidean matching problems

Michael Goldman, Dario Trevisan

We investigate the average minimum cost of a bipartite matching between two samples of n independent random points uniformly distributed on a unit cube in d $\geq$ 3 dimensions, whe…

math.AP2020★ 1 cited

Nondispersive solutions to the mass critical half-wave equation in two dimensions

Vladimir Georgiev, Yuan Li

We consider the half-wave equation with mass critical in two dimension \begin{eqnarray*} \begin{cases} iu_t=Du-|u|u,\,\,\, \\ u(0,x)=u_0(x), \end{cases} \end{eqnarray*} First, we p…

math.AP2020★ 16 cited

A blow-up result for a generalized Tricomi equation with nonlinearity of derivative type

Sandra Lucente, Alessandro Palmieri

In this note, we prove a blow-up result for a semilinear generalized Tricomi equation with nonlinear term of derivative type, i.e., for the equation $\mathscr{T}_{\!\!\ell} u = |\p…

math.AP2020

Optimal one-dimensional structures for the principal eigenvalue of two-dimensional domains

Giuseppe Buttazzo, Francesco Paolo Maiale

A shape optimization problem arising from the optimal reinforcement of a membrane by means of one-dimensional stiffeners or from the fastest cooling of a two-dimensional object by…

math.AP2020★ 1 cited

Some inequalities involving perimeter and torsional rigidity

L. Briani, G. Buttazzo, F. Prinari

We consider shape functionals of the form $F_{q} (Ω) = P (Ω) T^{q} (Ω)$ on the class of open sets of prescribed Lebesgue measure. Here $q > 0$ is fixed, $P (Ω)$ denotes the perimeter of $Ω$ and…

math.AP2020★ 1 cited

On the logarithmic epiperimetric inequality for the obstacle problem

Luca Spolaor, Bozhidar Velichkov

We give three different proofs of the log-epiperimetric inequality at singular points for the obstacle problem. In the first, direct proof, we write the competitor explicitly; the…

math.AP2020★ 22 cited

The Lojasiewicz-Simon inequality for the elastic flow

Carlo Mantegazza, Marco Pozzetta

We define the elastic energy of smooth immersed closed curves in $R^{n}$ as the sum of the length and the $L^{2}$ -norm of the curvature, with respect to the length measure. We…

math.AP2020

On mixed pressure-velocity regularity criteria to the Navier-Stokes equations in Lorentz spaces

Hugo Beirão da Veiga, Jiaqi Yang

In this paper we derive regular criteria in Lorentz spaces for Leray-Hopf weak solutions $v$ of the three-dimensional Navier-Stokes equations based on the formal equivalence relati…

math.AP2020★ 2 cited

Connected Coulomb Columns: Analysis and Numerics

Patrick Dondl, Matteo Novaga, Stephan Wojtowytsch +1

We consider a version of Gamow's liquid drop model with a short range attractive perimeter-penalizing potential and a long-range Coulomb interaction of a uniformly charged mass in…

math.AP2020★ 8 cited

Conducting flat drops in a confining potential

Cyrill B. Muratov, Matteo Novaga, Berardo Ruffini

We study a geometric variational problem arising from modeling two-dimensional charged drops of a perfectly conducting liquid in the presence of an external potential. We character…

math.AP2020★ 15 cited

On the blow-up of solutions to semilinear damped wave equations with power nonlinearity in compact Lie groups

Alessandro Palmieri

In this note, we prove a blow-up result for the semilinear damped wave equation in a compact Lie group with power nonlinearity $∣ u ∣^{p}$ for any $p > 1$ , under suitable integral sign a…

math.AP2020★ 5 cited

A global existence result for a semilinear wave equation with lower order terms on compact Lie groups

Alessandro Palmieri

In this paper, we study the semilinear wave equation with lower order terms (damping and mass) and with power type nonlinearity $∣ u ∣^{p}$ on compact Lie groups. We will prove the glo…

math.AP2020★ 6 cited

Semilinear wave equation on compact Lie groups

Alessandro Palmieri

In this note, we study the semilinear wave equation with power nonlinearity $∣ u ∣^{p}$ on compact Lie groups. First, we prove a local in time existence result in the energy space via…

math.AP2020★ 12 cited

Dynamical collapse of cylindrical symmetric Dipolar Bose-Einstein condensates

Jacopo Bellazzini, Luigi Forcella

We study the formation of singularities for cylindrical symmetric solutions to the Gross-Pitaevskii equation describing a dipolar Bose-Einstein condensate. We prove that solutions…

math.AP2020★ 1 cited

On the asymptotic behavior of high order moments for a family of Schroedinger equations

Nikolay Tzvetkov, Nicola Visciglia

We study upper bounds and the asymptotic behavior of high order moments for solutions to a family of linear and nonlinear Schroedinger equations.

math.AP2020

Navier-Stokes equations: an analysis of a possible gap to achieve the energy equality

Francesca Crispo, Carlo Romano Grisanti, Paolo Maremonti

The paper is concerned with the IBVP of the Navier-Stokes equations. The goal is the attempt to construct a weak solution enjoying an energy equality. This result is a natural cont…

Anisotropic curvature flow of immersed networks

Some Existence Results for a Singular Elliptic Problem via Bifurcation Theory

Nonexistence of global solutions for generalized Tricomi equations with combined nonlinearity

Necessary and sufficient condition for global existence of L2 solutions for 1D periodic NLS with non-gauge invariant quadratic nonlinearity

Blowup dynamics for Mass Critical Half-wave equation in 3D

Blow-up results for semilinear damped wave equations in Einstein-de Sitter spacetime

Lifespan estimates for local solutions to the semilinear wave equation in Einstein-de Sitter spacetime

A survey of the elastic flow of curves and networks

Convergence of asymptotic costs for random Euclidean matching problems

Nondispersive solutions to the mass critical half-wave equation in two dimensions

A blow-up result for a generalized Tricomi equation with nonlinearity of derivative type

Optimal one-dimensional structures for the principal eigenvalue of two-dimensional domains

Some inequalities involving perimeter and torsional rigidity

On the logarithmic epiperimetric inequality for the obstacle problem

The Lojasiewicz-Simon inequality for the elastic flow

On mixed pressure-velocity regularity criteria to the Navier-Stokes equations in Lorentz spaces

Connected Coulomb Columns: Analysis and Numerics

Conducting flat drops in a confining potential

On the blow-up of solutions to semilinear damped wave equations with power nonlinearity in compact Lie groups

A global existence result for a semilinear wave equation with lower order terms on compact Lie groups

Semilinear wave equation on compact Lie groups

Dynamical collapse of cylindrical symmetric Dipolar Bose-Einstein condensates

On the asymptotic behavior of high order moments for a family of Schroedinger equations

Navier-Stokes equations: an analysis of a possible gap to achieve the energy equality

Necessary and sufficient condition for global existence of $L^{2}$ solutions for 1D periodic NLS with non-gauge invariant quadratic nonlinearity