10 papers
Finite time singularities in the Landau equation with very hard potentials
Jacob Bedrossian, Jiajie Chen, Maria Pia Gualdani +3
We consider the inhomogeneous Landau equation with and construct smooth, strictly positive initial data that develop a finite time singularity. The -norm…
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, NataÅ¡a PavloviÄ, 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…
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…
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…
The fuzzy Landau equation: global well-posedness and Fisher information
Maria Pia Gualdani, Nestor Guillen, NataÅ¡a PavloviÄ +2
We study a fuzzy variant of the inhomogeneous Landau equation and establish global-in-time existence and uniqueness of smooth solutions for moderately soft potentials. The spatial…