New Solution of Diffusion-Advection Equation for Cosmic-Ray Transport Using Ultradistributions

TL;DR

This paper presents an exact solution to the cosmic-ray transport diffusion-advection equation using ultradistributions, providing a general framework and various approximations relevant to astrophysical phenomena like solar cosmic-ray diffusion.

Contribution

The paper introduces a novel application of ultradistributions to solve the diffusion-advection equation exactly in cosmic-ray transport.

Findings

Exact solution derived using ultradistributions

Multiple approximations for different astrophysical scenarios

Application to solar cosmic-ray diffusion

Abstract

In this paper we exactly solve the diffusion-advection equation for cosmic-ray transport. With this purpose we use the Theory of Ultradistributions of J. Sebastiao e Silva, to give a general solution for this equation. From this solution, we obtain several approximations as limiting cases of various situations of physical and astrophysical interest. One of them involves Solar cosmic-rays' diffusion.