31 citations · 35 across the 4 of their papers we have counts for
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The fuzzy Landau equation: global well-posedness and Fisher information
Maria Pia Gualdani, Nestor Guillen, Nataša Pavlović +2
We investigate a fuzzy variant of the inhomogeneous Landau equation and establish global-in-time existence and uniqueness of smooth solutions for a range of soft potentials. The sp…
The Landau equation and Fisher information
Nestor Guillen, Luis Silvestre
In this expository note (submitted to Notices of the AMS) we present the ideas used in our recent work ruling out blow up for the Landau equation with Coulomb potential. Blow up is…
The Landau equation does not blow up
Nestor Guillen, Luis Silvestre
We consider solutions to the space-homogeneous Landau equation with a general family of interaction potentials. We prove that their Fisher information is monotone decreasing in tim…
Regularization estimates of the Landau-Coulomb diffusion
Rene Cabrera, Maria Gualdani, Nestor Guillen
The Landau-Coulomb equation is an important model in plasma physics featuring both nonlinear diffusion and reaction terms. In this manuscript we focus on the diffusion operator wit…
Estimates for radial solutions of the homogeneous Landau equation with Coulomb potential
Maria Gualdani, Nestor Guillen
Motivated by the question of existence of global solutions, we obtain pointwise upper bounds for radially symmetric and monotone solutions to the homogeneous Landau equation with C…