58 citations · 261 across the 47 of their papers we have counts for
54 papers
A priori error estimates for the -method for the flow of nonsmooth velocity fields
Gennaro Ciampa, Tommaso Cortopassi, Gianluca Crippa +2
Velocity fields with low regularity (below the Lipschitz threshold) naturally arise in many models from mathematical physics, such as the inhomogeneous incompressible Navier-Stokes…
Convergence of the Euler-Voigt equations to the Euler equations in two dimensions
Stefano Abbate, Luigi C. Berselli, Gianluca Crippa +1
In this paper, we consider the two-dimensional torus and we study the convergence of solutions of the Euler-Voigt equations to solutions of the Euler equations, under several regul…
On multidimensional nonlocal conservation laws with BV kernels
Maria Colombo, Gianluca Crippa, Laura V. Spinolo
We establish local-in-time existence and uniqueness results for nonlocal conservation laws in several space dimensions under weak (that is, Sobolev or BV) differentiability assumpt…
Propagation of logarithmic regularity and inviscid limit for the 2D Euler equations
Gennaro Ciampa, Gianluca Crippa, Stefano Spirito
The aim of this note is to study the Cauchy problem for the 2D Euler equations under very low regularity assumptions on the initial datum. We prove propagation of regularity of log…
An overview on the local limit of non-local conservation laws, and a new proof of a compactness estimate
Maria Colombo, Gianluca Crippa, Elio Marconi +1
Consider a non-local (i.e., involving a convolution term) conservation law: when the convolution term converges to a Dirac delta, in the limit we formally recover a classical (or "…
A regularity result for the Fokker-Planck equation with non-smooth drift and diffusion
Paolo Bonicatto, Gennaro Ciampa, Gianluca Crippa
The goal of this paper is to study weak solutions of the Fokker-Planck equation. We first discuss existence and uniqueness of weak solutions in an irregular context, providing a un…