58 citations · 261 across the 47 of their papers we have counts for
6 papers · 1 filter
On the singular local limit for conservation laws with nonlocal fluxes
Maria Colombo, Gianluca Crippa, Laura V. Spinolo
We give an answer to a question posed in [P. Amorim, R. Colombo, and A. Teixeira, ESAIM Math. Model. Numerics. Anal. 2015], which can be loosely speaking formulated as follows. Con…
Cellular mixing with bounded palenstrophy
Gianluca Crippa, Christian Schulze
We study the problem of optimal mixing of a passive scalar advected by an incompressible flow on the two dimensional unit square. The scalar solves the continuity equation…
Polynomial mixing under a certain stationary Euler flow
Gianluca Crippa, Renato Lucà, Christian Schulze
We study the mixing properties of a scalar advected by a certain incompressible velocity field on the two dimensional unit ball, which is a stationary radial solution of th…
Eulerian and Lagrangian solutions to the continuity and Euler equations with vorticity
Gianluca Crippa, Camilla Nobili, Christian Seis +1
In the first part of this paper we establish a uniqueness result for continuity equations with velocity field whose derivative can be represented by a singular integral operator of…
Lagrangian solutions to the Vlasov-Poisson system with a point charge
Gianluca Crippa, Silvia Ligabue, Chiara Saffirio
We consider the Cauchy problem for the repulsive Vlasov-Poisson system in the three dimensional space, where the initial datum is the sum of a diffuse density, assumed to be bounde…
Optimality of integrability estimates for advection-diffusion equations
Stefano Bianchini, Maria Colombo, Gianluca Crippa +1
We discuss integrability estimates for the solution of the advection-diffusion equation , where the velocity field $b \in L^r_t L^q…