492 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Sapienza University of RomeIT122 papers
- University of Rome Tor VergataIT96 papers
- National Research CouncilLK91 papers
- Harvard UniversityUS59 papers
- Italian Institute of TechnologyIT57 papers
- International Center for Relativistic AstrophysicsIT42 papers
- Istituto Nazionale di Fisica Nucleare, Sezione di FirenzeIT36 papers
- Institut des Hautes Études ScientifiquesFR33 papers
- Eindhoven University of TechnologyNL32 papers
- ETH ZurichCH31 papers
- Centre National de la Recherche ScientifiqueFR30 papers
- Villanova UniversityUS30 papers
31 papers · 1 filter
Global existence and uniqueness of the density-dependent incompressible Navier-Stokes-Korteweg system with variable capillarity and viscosity coefficients
Shan Wang
We consider the global well-posedness of the inhomogeneous incompressible Navier-Stokes-Korteweg system with a general capillary term. Based on the maximal regularity property, we…
Relaxing the sharp density stratification and columnar motion assumptions in layered shallow water systems
Mahieddine Adim, Roberta Bianchini, Vincent Duchêne
We rigorously justify the bilayer shallow-water system as an approximation to the hydrostatic Euler equations in situations where the flow is density-stratified with close-to-piece…
An overdetermined problem in 2D linearised hydrostatics
Giovanni Franzina
In two spatial dimensions, we discuss the relation between the solvability of Schiffer's overdetermined problem and the optimality, among sets of prescribed area, of the first eige…
A new look at the controllability cost of linear evolution systems with a long gaze at localized data
Roberta Bianchini, Vincent Laheurte, Franck Sueur
We revisit the classical issue of the controllability/observability cost of linear first order evolution systems, starting with ODEs, before turning to some linear first order evol…
Hard-congestion limit of the p-system in the BV setting
Fabio Ancona, Roberta Bianchini, Charlotte Perrin
This note is concerned with the rigorous justification of the so-called hard congestion limit from a compressible system with singular pressure towards a mixed compressible-incompr…
Semi-discrete modeling of systems of wedge disclinations and edge dislocations via the Airy stress function method
Pierluigi Cesana, Lucia De Luca, Marco Morandotti
We present a variational theory for lattice defects of rotational and translational type. We focus on finite systems of planar wedge disclinations, disclination dipoles, and edge d…
On the hydrostatic limit of stably stratified fluids with isopycnal diffusivity
Vincent Duchêne, Roberta Bianchini
This article is concerned with rigorously justifying the hydrostatic limit for continuously stratified incompressible fluids under the influence of gravity. The main distinction of…
Coarse-graining of a discrete model for edge dislocations in the regular triangular lattice
Roberto Alicandro, Lucia De Luca, Giuliano Lazzaroni +2
We consider a discrete model of planar elasticity where the particles, in the reference configuration, sit on a regular triangular lattice and interact through nearest neighbor pai…
Topological singularities in periodic media: Ginzburg-Landau and core-radius approaches
Roberto Alicandro, Andrea Braides, Marco Cicalese +2
We describe the emergence of topological singularities in periodic media within the Ginzburg-Landau model and the core-radius approach. The energy functionals of both models are de…
Discontinuous solutions of Hamilton-Jacobi equations versus Radon measure-valued solutions of scalar conservation laws: Disappearance of singularities
M. Bertsch, F. Smarrazzo, A. Terracina +1
Let be a bounded and Lipschitz continuous function. We consider discontinuous viscosity solutions of the Hamilton-Jacobi equation and signed Radon measure valu…
A free boundary problem for binary fluids
Roberto Benzi, Michiel Bertsch, Francesco Deangelis
A free boundary problem for the dynamics of a glasslike binary fluid naturally leads to a singular perturbation problem for a strongly degenerate parabolic partial differential equ…
Linear inviscid damping for shear flows near Couette in the 2D stably stratified regime
Roberta Bianchini, Michele Coti Zelati, Michele Dolce
We investigate the linear stability of shears near the Couette flow for a class of 2D incompressible stably stratified fluids. Our main result consists of nearly optimal decay rate…
Revisitation of a Tartar's result on a semilinear hyperbolic system with null condition
Roberta Bianchini, Gigliola Staffilani
We revisit a method introduced by Tartar for proving global well-posedness of a semilinear hyperbolic system with null quadratic source in one space dimension. A remarkable point i…
Some examples of kinetic scheme whose diffusion limit is Il'in's exponential-fitting
Laurent Gosse, Nicolas Vauchelet
This paper is concerned with diffusive approximations of peculiar numerical schemes for several linear (or weakly nonlinear) kinetic models which are motivated by wide-range applic…
The action of Volterra integral operators with highly singular kernels on Hölder continuous, Lebesgue and Sobolev functions
Raffaele Carlone, Alberto Fiorenza, Lorenzo Tentarelli
For kernels which are positive and integrable we show that the operator on a finite time interval enjoys a regularizing effect when applie…
A symmetrization result for a class of anisotropic elliptic problems
Angela Alberico, Giuseppina di Blasio, Filomena Feo
We prove estimates for weak solutions to a class of Dirichlet problems associated to anisotropic elliptic equations with a zero order term.
Well-posedness of a model of nonhomogeneous compressible-incompressible fluids
Roberta Bianchini, Roberto Natalini
We propose a model of a density-dependent compressible-incompressible fluid, which is intended as a simplified version of models based on mixture theory as, for instance, those ari…
A magneto-viscoelasticity problem with a singular memory kernel
Sandra Carillo, Michel Chipot, Vanda Valente +1
The existence of solutions to a one-dimensional problem arising in magneto-viscoelasticity is here considered. Specifically, a non-linear system of integro-differential equations i…
A priori estimates for solutions to anisotropic elliptic problems via symmetrization
A. Alberico, G. di Blasio, F. Feo
We obtain a comparison result for solutions to nonlinear fully anisotropic elliptic problems by means of anisotropic symmetrization. As consequence we deduce a priori estimates for…
Eigenvalues for double phase variational integrals
Francesca Colasuonno, Marco Squassina
We study an eigenvalue problem in the framework of double phase variational integrals and we introduce a sequence of nonlinear eigenvalues by a minimax procedure. We establish a co…
Stability of eigenvalues for variable exponent problems
Francesca Colasuonno, Marco Squassina
In the framework of variable exponent Sobolev spaces, we prove that the variational eigenvalues defined by inf sup procedures of Rayleigh ratios for the Luxemburg norms are all sta…
Well-posedness of 2D and 3D swimming models in incompressible fluids governed by Navier--Stokes equations
Alexandre Khapalov, Piermarco Cannarsa, Fabio S. Priuli +1
We introduce and investigate the wellposedness of two models describing the self-propelled motion of a "small bio-mimetic swimmer" in the 2D and 3D incompressible fluids modeled by…
Linear-Quadratic -person and Mean-Field Games: Infinite Horizon Games with Discounted Cost and Singular Limits
Fabio S. Priuli
We consider stochastic differential games with nearly identical players, linear-Gaussian dynamics, and infinite horizon discounted quadratic cost. Admissible controls are feedb…
On an inverse problem for scalar conservation laws
Helge Holden, Fabio Simone Priuli, Nils Henrik Risebro
We study in what sense one can determine the function in the scalar hyperbolic conservation law by observing the solution $u(t,\dott)$ of the Cauchy p…