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 2019 · math.APShow all

20 papers · 2 filters

math.AP2019★ 14 cited

The $ε - ε^{β}$ property in the isoperimetric problem with double density, and the regularity of isoperimetric sets

Aldo Pratelli, Giorgio Saracco

We prove the validity of the $ε - ε^{β}$ property in the isoperimetric problem with double density, generalising the known properties for the case of single density…

math.AP2019★ 29 cited

A blow-up result for the semilinear Moore-Gibson-Thompson equation with nonlinearity of derivative type in the conservative case

Wenhui Chen, Alessandro Palmieri

In this paper, we study the blow-up of solutions to the semilinear Moore-Gibson-Thompson (MGT) equation with nonlinearity of derivative type $∣ u_{t} ∣^{p}$ in the conservative case. We…

math.AP2019★ 49 cited

Nonexistence of global solutions for the semilinear Moore-Gibson-Thompson equation in the conservative case

Wenhui Chen, Alessandro Palmieri

In this work, the Cauchy problem for the semilinear Moore-Gibson-Thompson (MGT) equation with power nonlinearity $∣ u ∣^{p}$ on the right-hand side is studied. Applying $L^{2} - L^{2}$ estim…

math.AP2019★ 23 cited

Critical exponent of Fujita-type for the semilinear damped wave equation on the Heisenberg group with power nonlinearity

Vladimir Georgiev, Alessandro Palmieri

In this paper, we consider the Cauchy problem for the semilinear damped wave equation on the Heisenberg group with power nonlinearity. We prove that the critical exponent is the Fu…

math.AP2019★ 17 cited

Decay estimates for the linear damped wave equation on the Heisenberg group

Alessandro Palmieri

This paper is devoted to the derivation of $L^{2}$ - $L^{2}$ decay estimates for the solution of the homogeneous linear damped wave equation on the Heisenberg group $H_{n}$ , for…

math.AP2019★ 2 cited

Orbital stability of solitary waves for the generalized Choquard model

Vladimir Georgiev, Mirko Tarulli, George Venkov

We consider the generalized Choquard equation describing trapped electron gas in 3 dimensional case. The study of orbital stability of the energy minimizers (known as ground states…

math.AP2019★ 7 cited

Van der Waals--Allen--Cahn--Hilliard equation with a volume constraint

Vieri Benci, Stefano Nardulli, Paolo Piccione

We give multiplicity results for the solutions of a nonlinear elliptic equation, with an asymmetric double well potential of Van der Waals-Allen--Cahn--Hilliard type, satisfying a…

math.AP2019★ 27 cited

Turbulent flows as generalized Kelvin-Voigt materials: modeling and analysis

Cherif Amrouche, Luigi C. Berselli, Roger Lewandowski +1

We model a 3D turbulent fluid, evolving toward a statistical equilibrium, by adding to the equations for the mean field $(v, p)$ a term like $- α \nabla \cdot (ℓ (x) D v_{t})$ . This is…

math.AP2019

Relaxed multi-marginal costs and quantization effects

Guy Bouchitté, Giuseppe Buttazzo, Thierry Champion +1

We propose a duality theory for multi-marginal repulsive cost that appear in optimal transport problems arising in Density Functional Theory. The related optimization problems invo…

math.AP2019

Optimal Regularity of Solutions to No-Sign Obstacle-Type Problems for the Sub-Laplacian

Valentino Magnani, Andreas Minne

We establish the optimal $C_{H}^{1, 1}$ interior regularity of solutions to \[ Δ_{H}u=fχ_{\{u\ne0\}}, \] where $Δ_{H}$ denotes the sub-Laplacian operator in a stratified group. We a…

math.AP2019

Optimal reinforcing networks for elastic membranes

Giovanni Alberti, Giuseppe Buttazzo, Serena Guarino Lo Bianco +1

In this paper we study the optimal reinforcement of an elastic membrane, fixed at its boundary, by means of a network (connected onedimensional structure), that has to be found in…

math.AP2019★ 18 cited

Lifespan estimates for local in time solutions to the semilinear heat equation on the Heisenberg group

Vladimir Georgiev, Alessandro Palmieri

In this paper we consider the semilinear Cauchy problem for the heat equation with power nonlinearity in the Heisenberg group $H_{n}$ . The heat operator is given in this cas…

math.AP2019★ 6 cited

Integral representation formulae for the solution of a wave equation with time-dependent damping and mass in the scale-invariant case

Alessandro Palmieri

This paper is devoted to derive integral representation formulae for the solution of an inhomogeneous linear wave equation with time-dependent damping and mass terms, that are scal…

math.AP2019★ 22 cited

A blow-up result for a semilinear wave equation with scale-invariant damping and mass and nonlinearity of derivative type

Alessandro Palmieri, Ziheng Tu

In this note, we prove blow-up results for semilinear wave models with damping and mass in the scale-invariant case and with nonlinear terms of derivative type. We consider the sin…

math.AP2019

Endpoint Strichartz estimates for the Schrödinger equation on an exterior domain

Vladimir Georgiev, Koichi Taniguchi

The purpose in this paper is to prove end point Strichartz estimates for the Schrödinger equation in the exterior domain of a generic non-trapping obstacle in the case $n \geq 3.$ …

math.AP2019

A variational scheme for hyperbolic obstacle problems

Mauro Bonafini, Matteo Novaga, Giandomenico Orlandi

We consider an obstacle problem for (possibly non-local) wave equations, and we prove existence of weak solutions through a convex minimization approach based on a time discrete ap…

math.AP2019★ 13 cited

Long-Time Reynolds Averaging of Reduced Order Models for Fluid Flows: Preliminary Results

Luigi C. Berselli, Traian Iliescu, Birgul Koc +1

We perform a theoretical and numerical investigation of the time-average of energy exchange among modes of Reduced Order Models (ROMs) of fluid flows. We are interested in the stat…

math.AP2019★ 17 cited

Nonexistence of global solutions for a weakly coupled system of semilinear damped wave equations in the scattering case with mixed nonlinear terms

Alessandro Palmieri, Hiroyuki Takamura

In this paper we consider the blow-up of solutions to a weakly coupled system of semilinear damped wave equations in the scattering case with nonlinearities of mixed type, namely,…

math.AP2019★ 1 cited

Regularity Criteria for Navier-Stokes Equations with Slip Boundary Conditions on Non-flat Boundaries via Two Velocity Components

Hugo Beirao da Veiga, Jiaqi Yang

H.-O. Bae and H.J. Choe, in a 1997 paper, established a regularity criteria for the incompressible Navier-Stokes equations in the whole space $R^{3}$ based on two velocity component…

math.AP2019★ 13 cited

Nonlinear Spectral Decompositions by Gradient Flows of One-Homogeneous Functionals

Leon Bungert, Martin Burger, Antonin Chambolle +1

This paper establishes a theory of nonlinear spectral decompositions by considering the eigenvalue problem related to an absolutely one-homogeneous functional in an infinite-dimens…

The ε−εβ property in the isoperimetric problem with double density, and the regularity of isoperimetric sets

A blow-up result for the semilinear Moore-Gibson-Thompson equation with nonlinearity of derivative type in the conservative case

Nonexistence of global solutions for the semilinear Moore-Gibson-Thompson equation in the conservative case

Critical exponent of Fujita-type for the semilinear damped wave equation on the Heisenberg group with power nonlinearity

Decay estimates for the linear damped wave equation on the Heisenberg group

Orbital stability of solitary waves for the generalized Choquard model

Van der Waals--Allen--Cahn--Hilliard equation with a volume constraint

Turbulent flows as generalized Kelvin-Voigt materials: modeling and analysis

Relaxed multi-marginal costs and quantization effects

Optimal Regularity of Solutions to No-Sign Obstacle-Type Problems for the Sub-Laplacian

Optimal reinforcing networks for elastic membranes

Lifespan estimates for local in time solutions to the semilinear heat equation on the Heisenberg group

Integral representation formulae for the solution of a wave equation with time-dependent damping and mass in the scale-invariant case

A blow-up result for a semilinear wave equation with scale-invariant damping and mass and nonlinearity of derivative type

Endpoint Strichartz estimates for the Schrödinger equation on an exterior domain

A variational scheme for hyperbolic obstacle problems

Long-Time Reynolds Averaging of Reduced Order Models for Fluid Flows: Preliminary Results

Nonexistence of global solutions for a weakly coupled system of semilinear damped wave equations in the scattering case with mixed nonlinear terms

Regularity Criteria for Navier-Stokes Equations with Slip Boundary Conditions on Non-flat Boundaries via Two Velocity Components

Nonlinear Spectral Decompositions by Gradient Flows of One-Homogeneous Functionals

The $ε - ε^{β}$ property in the isoperimetric problem with double density, and the regularity of isoperimetric sets