56 citations · 98 across the 31 of their papers we have counts for
Showing 2021Show all
3 papers · 1 filter
math.AP2021
Existence of smooth solutions to the Landau-Fermi-Dirac equation with Coulomb potential
William Golding, Maria Pia Gualdani, Nicola Zamponi
In this paper, we prove global-in-time existence and uniqueness of smooth solutions to the homogeneous Landau-Fermi-Dirac equation with Coulomb potential. The initial conditions ar…
math.AP2021
Hardy's inequality and (almost) the Landau equation
Maria Gualdani, Nestor Guillen
In this manuscript we establish an estimate for the isotropic analogue of the homogeneous Landau equation. This is done for values of the interaction exponent in (a…
math.AP2021
Non-existence of some approximately self-similar singularities for the Landau, Vlasov-Poisson-Landau, and Boltzmann equations
Jacob Bedrossian, Maria Pia Gualdani, Stanley Snelson
We consider the homogeneous and inhomogeneous Landau equation for very soft and Coulomb potentials and show that approximate Type I self-similar blow-up solutions do not exist unde…