On a fuzzy Landau Equation: Part II. Solvability results

TL;DR

This paper investigates the existence and regularity propagation of solutions to the fuzzy Landau equation, which models particle interactions through delocalized Coulomb collisions, advancing understanding of its mathematical properties.

Contribution

It provides new results on the solvability and regularity propagation for the fuzzy Landau equation, a key step in understanding its mathematical behavior.

Findings

Established existence of solutions under certain conditions

Proved propagation of regularity for solutions

Enhanced understanding of the fuzzy Landau equation's mathematical properties

Abstract

This article is the second in a series of our works on the fuzzy Landau equation, where particles interact via delocalised Coulomb collisions. In this work, we focus on the existence and propagation of regularity for solutions to the fuzzy Landau equation.