1.9k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Istituto di Fotonica e NanotecnologieIT287 papers
- University of MilanIT253 papers
- Centre National de la Recherche ScientifiqueFR237 papers
- Istituto Nazionale di Fisica Nucleare, Sezione di MilanoIT232 papers
- Sapienza University of RomeIT155 papers
- Italian Institute of TechnologyIT125 papers
- University of Milano-BicoccaIT115 papers
- National Research CouncilLK111 papers
- University of GenoaIT102 papers
- University of Rome Tor VergataIT102 papers
- University of BolognaIT101 papers
- University of Naples Federico IIIT97 papers
18 papers · 2 filters
Robust exponential attractors for the modified phase-field crystal equation
Maurizio Grasselli, Hao Wu
We consider the modified phase-field crystal (MPFC) equation that has recently been proposed by P. Stefanovic et al. This is a variant of the phase-field crystal (PFC) equation, in…
Fractional porous media equations: existence and uniqueness of weak solutions with measure data
Gabriele Grillo, Matteo Muratori, Fabio Punzo
We prove existence and uniqueness of solutions to a class of porous media equations driven by the fractional Laplacian when the initial data are positive finite Radon measures on t…
Cahn-Hilliard Equation with Nonlocal Singular Free Energies
Helmut Abels, Stefano Bosia, Maurizio Grasselli
We consider a Cahn-Hilliard equation which is the conserved gradient flow of a nonlocal total free energy functional. This functional is characterized by a Helmholtz free energy de…
Strong competition versus fractional diffusion: the case of Lotka-Volterra interaction
Gianmaria Verzini, Alessandro Zilio
We consider a system of differential equations with nonlinear Steklov boundary conditions, related to the fractional problem $$(-Δ)^s u_i = f_i(x,u_i) - βu_i^p \sum_{j\neq i} a_{ij…
A posteriori estimates for Euler and Navier-Stokes equations
Carlo Morosi, Mario Pernici, Livio Pizzocchero
The first two sections of this work review the framework of [6] for approximate solutions of the incompressible Euler or Navier-Stokes (NS) equations on a torus T^d, in a Sobolev s…
Non-isothermal viscous Cahn--Hilliard equation with inertial term and dynamic boundary conditions
Cecilia Cavaterra, Maurizio Grasselli, Hao Wu
We consider a non-isothermal modified Cahn--Hilliard equation which was previously analyzed by M. Grasselli et al. Such an equation is characterized by an inertial term and a visco…
Dynamics of periodic Toda chains with a large number of particles
Dario Bambusi, Thomas Kappeler, Thierry Paul
For periodic Toda chains with a large number of particles we consider states which are close to the equilibrium and constructed by discretizing any given functio…
Global attractors for nonlinear viscoelastic equations with memory
Monica Conti, Elsa M. Marchini, Vittorino Pata
We study the asymptotic properties of the semigroup S(t) arising from a nonlinear viscoelastic equation with hereditary memory on a bounded three-dimensional domain written in the…
From Toda to KdV
Dario Bambusi, Thomas Kappeler, Thierry Paul
For periodic Toda chains with a large number of particles we consider states which are -close to the equilibrium and constructed by discretizing arbitrary given f…
Existence and orbital stability of the ground states with prescribed mass for the L^2-critical and supercritical NLS on bounded domains
Benedetta Noris, Hugo Tavares, Gianmaria Verzini
We study solutions of a semilinear elliptic equation with prescribed mass and Dirichlet homogeneous boundary conditions in the unitary ball. Such problem arises in the search of so…
Well-posedness and longtime behavior for the modified phase-field crystal equation
Maurizio Grasselli, Hao Wu
We consider a modification of the so-called phase-field crystal (PFC) equation introduced by K.R. Elder et al. This variant has recently been proposed by P. Stefanovic et al. to di…
A symmetry problem for the infinity Laplacian
Graziano Crasta, Ilaria Fragalà
Aim of this paper is to prove necessary and sufficient conditions on the geometry of a domain in order that the homogeneous Dirichlet problem for the infini…
Stable determination of an inclusion in an elastic body by boundary measurements (unabridged)
Giovanni Alessandrini, Michele Di Cristo, Antonino Morassi +1
We consider the inverse problem of identifying an unknown inclusion contained in an elastic body by the Dirichlet-to-Neumann map. The body is made by linearly elastic, homogeneous…
Nonlinearity in oscillating bridges
Filippo Gazzola
We first recall several historical oscillating bridges that, in some cases, led to collapses. Some of them are quite recent and show that, nowadays, oscillations in suspension brid…
On the Reynolds number expansion for the Navier-Stokes equations
Carlo Morosi, Livio Pizzocchero
In a previous paper of ours [Nonlinear Anal. 2012] we have considered the incompressible Navier-Stokes (NS) equations on a d-dimensional torus T^d, in the functional setting of the…
Entire solutions with exponential growth for an elliptic system modeling phase-separation
Nicola Soave, Alessandro Zilio
We prove the existence of entire solutions with exponential growth for the semilinear elliptic system [\begin{cases} -Δu = -u v^2 & \text{in } -Δv= -u^2 v & \text{in }…
Radial Fast Diffusion on the Hyperbolic Space
Gabriele Grillo, Matteo Muratori
We consider radial solutions to the fast diffusion equation on the hyperbolic space for , , . By radial we me…
Strong solutions for two-dimensional nonlocal Cahn-Hilliard-Navier-Stokes systems
Sergio Frigeri, Maurizio Grasselli, Pavel Krejčí
A well-known diffuse interface model for incompressible isothermal mixtures of two immiscible fluids consists of the Navier-Stokes system coupled with a convective Cahn-Hilliard eq…