5 papers
Remarks on the K41 scaling law in turbulent fluids
F. Flandoli, M. Gubinelli, M. Hairer +1
A definition of K41 scaling law for suitable families of measures is given and investigated. First, a number of necessary conditions are proved. They imply the absence of scaling l…
Young integrals and SPDEs
Antoine Lejay, Massimiliano Gubinelli, Samy Tindel
In this note, we study the non-linear evolution problem , where is a -Hölder continuous function of the time parameter, with values in a dist…
Statistics of a vortex filament model
Franco Flandoli, Massimiliano Gubinelli
A random field composed by Poisson distributed Brownian vortex filaments is constructed. The filament have a random thickness, length and intensity, governed by a measure . Unde…
The evolution of a random vortex filament
Hakima Bessaih, Massimiliano Gubinelli, Francesco Russo
We study an evolution problem in the space of continuous loops in three-dimensional Euclidean space modelled upon the dynamics of vortex lines in 3d incompressible and inviscid flu…
Finite-Size Scaling in the Driven Lattice Gas
Sergio Caracciolo, Andrea Gambassi, Massimiliano Gubinelli +1
We present a Monte Carlo study of the high-temperature phase of the two-dimensional driven lattice gas at infinite driving field. We define a finite-volume correlation length, veri…