56 citations · 98 across the 31 of their papers we have counts for
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Uniqueness for the Homogeneous Landau-Coulomb Equation in
Maria Pia Gualdani, Weiran Sun
We prove the uniqueness of -solutions to the homogeneous Landau-Coulomb equation satisfying and $\langle v \rang…
From the quantum Boltzmann operator to the quantum Landau operator
Maria Pia Gualdani, Nataša Pavlović, Justin Toyota +1
In this manuscript we derive the quantum Landau operator as the weak-coupling limit of the quantum Boltzmann operator (also known as the Uehling-Uhlenbeck operator). We consider bo…
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 -Operator and Uniqueness of Nonlinear Kinetic Equations
Ricardo Alonso, Maria Pia Gualdani, Weiran Sun
We introduce an -operator approach to establish the uniqueness of continuous or bounded solutions for a broad class of Landau-type nonlinear kinetic equations. The spe…
Contractivity of Wasserstein distance and exponential decay for the Landau equation with Maxwellian molecules
F. -U. Caja-Lopez, M. G. Delgadino, M. -P. Gualdani +1
Following the breakthrough work of Guillen and Silvestre \cite{GS24}, that shows that the Fisher information is monotonically decreasing for solutions to the homogeneous Landau equ…