56 citations · 98 across the 31 of their papers we have counts for
5 papers · 1 filter
Production of the Fisher information for the Landau-Coulomb equation with L1 initial data
Laurent Desvillettes, William Golding, Maria Pia Gualdani +1
We consider the Landau-Coulomb equation for initial data with bounded mass, finite numbers of moments, and entropy. We show the existence of a global weak solution that has bounded…
A blow-down mechanism for the Landau-Coulomb equation
Maria Pia Gualdani, Raphael Winter
We investigate the Landau-Coulomb equation and show an explicit blow-down mechanism for a family of initial data that are small-scale, supercritical perturbations of a Maxwellian f…
A quasilinear Keller-Segel model with saturated discontinuous advection
Maria Gualdani, Mikel Ispizua, Nicola Zamponi
We consider the singular limit of a chemotaxis model of bacterial collective motion recently introduced in arXiv:2009.11048 [math.AP]. The equation models aggregation-diffusion phe…
Global smooth solutions to the Landau-Coulomb equation in
William Golding, Maria Gualdani, Amélie Loher
We consider the homogeneous Landau equation in with Coulomb potential and initial data in polynomially weighted . We show that there exists a smooth solutio…
Time-Fractional Porous Medium Type Equations. Sharp Time Decay and Regularization
Matteo Bonforte, Maria Gualdani, Peio Ibarrondo
We consider a class of porous medium type of equations with Caputo time derivative. The prototype problem reads as $\Dc u=-\A u^m$ and is posed on a bounded Euclidean domain $Ω\sub…