Weiran Sun

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math.AP2025

Uniqueness for the Homogeneous Landau-Coulomb Equation in $L^{3/2}$

Maria Pia Gualdani, Weiran Sun

We prove the uniqueness of $H$ -solutions to the homogeneous Landau-Coulomb equation satisfying $⟨ v ⟩^{k_{0}} f \in C ([0, T]; L^{3/2} (R^{3}))$ and $\langle v \rang…

math.AP2025

The $M$ -Operator and Uniqueness of Nonlinear Kinetic Equations

Ricardo Alonso, Maria Pia Gualdani, Weiran Sun

We introduce an $M$ -operator approach to establish the uniqueness of continuous or bounded solutions for a broad class of Landau-type nonlinear kinetic equations. The spe…

math.AP2025

Crossover from ballistic transport to normal diffusion: a kinetic view

Zhe Xue, Weiran Sun, Zhennan Zhou +1

The crossover between dispersion patterns has been frequently observed in various systems. Inspired by the pathway-based kinetic model for E. coli chemotaxis that accounts for the…

math.AP2024

$L^{p}$ -norms for the homogeneous non-cutoff Boltzmann equation with soft potentials

Matt Spragge, Weiran Sun

We establish a priori estimates showing the propagation and generation of $L^{p}$ -norms for solutions to the non-cutoff spatially homogeneous Boltzmann equation with soft potentials.…

Uniqueness for the Homogeneous Landau-Coulomb Equation in L3/2

The M-Operator and Uniqueness of Nonlinear Kinetic Equations

Crossover from ballistic transport to normal diffusion: a kinetic view

Lp-norms for the homogeneous non-cutoff Boltzmann equation with soft potentials

Uniqueness for the Homogeneous Landau-Coulomb Equation in $L^{3/2}$

The $M$ -Operator and Uniqueness of Nonlinear Kinetic Equations

$L^{p}$ -norms for the homogeneous non-cutoff Boltzmann equation with soft potentials