8 citations · 9 across the 7 of their papers we have counts for
9 papers
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…
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…
Partial Regularity in Time for the Space Homogeneous Landau Equation with Coulomb Potential
François Golse, Maria Pia Gualdani, Cyril Imbert +1
We prove that the set of singular times for weak solutions of the space homogeneous Landau equation with Coulomb potential constructed as in [C. Villani, Arch. Rational Mech. Anal.…
Longtime behavior and weak-strong uniqueness for a nonlocal porous media equation
Esther S. Daus, Maria Gualdani, Nicola Zamponi
In this manuscript we consider a non-local porous medium equation with non-local diffusion effects given by a fractional heat operator \begin{equation*} \partial_t u = \mbox{div}(u…
Existence of weak solutions to a continuity equation with space time nonlocal Darcy law
Luis Caffarelli, Maria Gualdani, Nicola Zamponi
In this manuscript we consider a porous medium equation with non-local diffusion effects given by a fractional heat operator in two space dimensions. Global i…
A review for an isotropic Landau model
Maria Gualdani, Nicola Zamponi
We consider the equation $u_t = \mbox{Div}(a[u]\nabla u - u\nabla a[u])$, . This model has attracted some attention in the recents years and several results are available…