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
15 papers · 2 filters
Porous medium equations on manifolds with critical negative curvature: unbounded initial data
Matteo Muratori, Fabio Punzo
We investigate existence and uniqueness of solutions of the Cauchy problem for the porous medium equation on a class of Cartan-Hadamard manifolds. We suppose that the radial Ricci…
The porous medium equation on Riemannian manifolds with negative curvature: the superquadratic case
Gabriele Grillo, Matteo Muratori, Juan Luis Vázquez
We study the long-time behaviour of nonnegative solutions of the Porous Medium Equation posed on Cartan-Hadamard manifolds having very large negative curvature, more precisely when…
The role of structural viscoelasticity in deformable porous media with incompressible constituents: applications in biomechanics
Maurizio Verri, Giovanna Guidoboni, Lorena Bociu +1
The main goal of this work is to clarify and quantify, by means of mathematical analysis, the role of structural viscoelasticity in the biomechanical response of deformable porous…
A phase-field approach for the interface reconstruction in a nonlinear elliptic problem arising from cardiac electrophysiology
Elena Beretta, Luca Ratti, Marco Verani
In this work we tackle the reconstruction of discontinuous coefficients in a semilinear elliptic equation from the knowledge of the solution on the boundary of the domain, an inver…
Further remarks on the Luo-Hou's ansatz for a self-similar solution to the 3D Euler equations
Gianmarco Sperone
It is shown that the self-similar ansatz proposed by T. Hou and G. Luo to describe a singular solution of the 3D axisymmetric Euler equations leads, without assuming any asymptotic…
Reconstruction of a piecewise constant conductivity on a polygonal partition via shape optimization in EIT
Elena Beretta, Stefano Micheletti, Simona Perotto +1
In this paper, we develop a shape optimization-based algorithm for the electrical impedance tomography (EIT) problem of determining a piecewise constant conductivity on a polygonal…
Spiraling asymptotic profiles of competition-diffusion systems
Susanna Terracini, Gianmaria Verzini, Alessandro Zilio
This paper describes the structure of the nodal set of segregation profiles arising in the singular limit of planar, stationary, reaction-diffusion systems with strongly competitiv…
On an elastic model arising from volcanology: an analysis of the direct and inverse problem
Andrea Aspri, Elena Beretta, Edi Rosset
In this paper we investigate a mathematical model arising from volcanology describing surface deformation effects generated by a magma chamber embedded into Earth's interior and ex…
Loss of energy concentration in nonlinear evolution beam equations
Maurizio Garrione, Filippo Gazzola
Motivated by the oscillations that were seen at the Tacoma Narrows Bridge, we introduce the notion of solutions with a prevailing mode for the nonlinear evolution beam equation $$…
Rigidity results for variational infinity ground states
Graziano Crasta, Ilaria Fragalà
We prove two rigidity results for a variational infinity ground state of an open bounded convex domain . They state that coincides with a multiple of…
Navier-Stokes-Voigt equations with memory in 3D lacking instantaneous kinematic viscosity
Francesco Di Plinio, Andrea Giorgini, Vittorino Pata +1
We consider a Navier-Stokes-Voigt fluid model where the instantaneous kinematic viscosity has been completely replaced by a memory term incorporating hereditary effects, in presenc…
On the inverse problem of detecting cardiac ischemias: theoretical analysis and numerical reconstruction
Elena Beretta, Cecilia Cavaterra, Maria Cristina Cerutti +2
In this paper we develop theoretical analysis and numerical reconstruction techniques for the solution of an inverse boundary value problem dealing with the nonlinear, time-depende…
A measure of the torsional performances of partially hinged rectangular plates
Elvise Berchio, Davide Buoso, Filippo Gazzola
We introduce a new functional, named gap function, which measures the torsional instability of a partially hinged rectangular plate, aiming to model the deck of a bridge. Then we t…
Variational problems with long-range interaction
Nicola Soave, Hugo Tavares, Susanna Terracini +1
We consider a class of variational problems for densities that repel each other at distance. Typical examples are given by the Dirichlet functional and the Rayleigh functional \[ D…
Regularity of higher order in two-phase free boundary problems
Daniela De Silva, Fausto Ferrari, Sandro Salsa
We develop further the strategy implemented in our series of papers on inhomogeneous two-phase fee boundary problems, to show that flat or Lipschitz free boundaries of such problem…