14.2k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Istituto Nazionale di Fisica Nucleare, Sezione di PisaIT5.2k papers
- Centre National de la Recherche ScientifiqueFR3.2k papers
- Sapienza University of RomeIT3.1k papers
- Istituto Nazionale di Fisica Nucleare, Sezione di Roma IIT3k papers
- Istituto Nazionale di Fisica Nucleare, Laboratori Nazionali di FrascatiIT2.8k papers
- Institut National de Physique Nucléaire et de Physique des ParticulesFR2.7k papers
- The Ohio State UniversityUS2.7k papers
- University of BolognaIT2.7k papers
- Rutherford Appleton LaboratoryGB2.7k papers
- Istituto Nazionale di Fisica Nucleare, Sezione di GenovaIT2.6k papers
- University of Wisconsin–MadisonUS2.6k papers
- University of GenoaIT2.5k papers
18 papers · 2 filters
Minimal elastic networks
Anna Dall'Acqua, Matteo Novaga, Alessandra Pluda
We consider planar networks of three curves that meet at two junctions with prescribed equal angles, minimizing a combination of the elastic energy and the length functional. We pr…
On the Cauchy problem for
Ferruccio Colombini, Tatsuo Nishitani
We consider the Cauchy problem for second order differential operators with two independent variables . Assume that is a nonnegative …
Global regularity for systems with -structure depending on the symmetric gradient
Luigi C. Berselli, Michael Ruzicka
In this paper we study on smooth bounded domains the global regularity (up to the boundary) for weak solutions to systems having -structure depending only on the symmetric part…
An infinite dimensional Duffing-like evolution equation with linear dissipation and an asymptotically small source term
Marina Ghisi, Massimo Gobbino, Alain Haraux
We consider an abstract nonlinear second order evolution equation, inspired by some models for damped oscillations of a beam subject to external loads or magnetic fields, and shake…
Confined Willmore energy and the Area functional
Marco Pozzetta
We consider minimization problems of functionals given by the difference between the Willmore functional of a closed surface and its area, when the latter is multiplied by a positi…
On a Minkowski geometric flow in the plane: evolution of curves with lack of scale invariance
Serena Dipierro, Matteo Novaga, Enrico Valdinoci
We consider a planar geometric flow in which the normal velocity is a nonlocal variant of the curvature. The flow is not scaling invariant and in fact has different behaviors at di…
Suitable weak solutions of the Navier-Stokes equations constructed by a space-time numerical discretization
Luigi C. Berselli, Simone Fagioli, Stefano Spirito
We prove that weak solutions obtained as limits of certain numerical space-time discretizations are suitable in the sense of Scheffer and Caffarelli-Kohn-Nirenberg. More precisely,…
On the Bardina's model in the whole space
Luigi C. Berselli, Roger Lewandowski
We consider the Bardina's model for turbulent incompressible flows in the whole space with a cut-off frequency of order 1/alpha. We show that for any alpha >0 fixed, the model has…
The Morse property for functions of Kirchhoff-Routh path type
Thomas Bartsch, Anna Maria Micheletti, Angela Pistoia
For a bounded domain let be the regular part of the Dirichlet Green function for the Laplace operator. Given a fixed arbitrary ${…
On the convergence of a fully discrete scheme of LES type to physically relevant solutions of the incompressible Navier-Stokes
Luigi C. Berselli, Stefano Spirito
Obtaining reliable numerical simulations of turbulent fluids is a challenging problem in computational fluid mechanics. The Large Eddy Simulations (LES) models are efficient tools…
Large data scattering for the defocusing supercritical generalized KdV equation
Luiz G. Farah, Felipe Linares, Ademir Pastor +1
We consider the defocusing supercritical generalized Korteweg-de Vries (gKdV) equation , where is an even integer number. We…
On contact discontinuities in multi-dimensional isentropic Euler equations
Jan Březina, Elisabetta Chiodaroli, Ondřej Kreml
In this short note we partially extend the recent nonuniqueness results on admissible weak solutions to the Riemann problem for the 2D compressible isentropic Euler equations. We p…
On stationary fractional Mean Field Games
Annalisa Cesaroni, Marco Cirant, Serena Dipierro +2
We provide an existence result for stationary fractional mean field game systems, with fractional exponent greater than 1/2. In the case in which the coupling is a nonlocal regular…
Non-uniqueness of admissible weak solutions to the Riemann problem for the isentropic Euler equations
Elisabetta Chiodaroli, Ondřej Kreml
We study the Riemann problem for the multidimensional compressible isentropic Euler equations. Using the framework developed by Chiodaroli, De Lellis, Kreml and based on the techni…
Minimizers for nonlocal perimeters of Minkowski type
Annalisa Cesaroni, Serena Dipierro, Matteo Novaga +1
We study a nonlocal perimeter functional inspired by the Minkowski content, whose main feature is that it interpolates between the classical perimeter and the volume functional. Th…
Sharp estimates for the anisotropic torsional rigidity and the principal frequency
Giuseppe Buttazzo, Serena Guarino Lo Bianco, Michele Marini
In this paper we generalize some classical estimates involving the torsional rigidity and the principal frequency of a convex domain to a class of functionals related to some aniso…
Blow-up for self-interacting fractional Ginzburg-Landau equation
Kazumasa Fujiwara, Vladimir Georgiev, Tohru Ozawa
The blow-up of solutions for the Cauchy problem of fractional Ginzburg-Landau equation with non-positive nonlinearity is shown by an ODE argument. Moreover, in one dimensional case…
On the classification of the spectrally stable standing waves of the Hartree problem
Vladimir Georgiev, Atanas Stefanov
We consider the fractional Hartree model, with general power non-linearity and space dimension. We construct variationally the "normalized" solutions for the corresponding Choquard…