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

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...

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Veröffentlicht in:	arXiv.org 2014-12
Hauptverfasser:	Rocca, M C, Plastino, A, Plastino, A R, De Paoli, A L
Format:	Artikel
Sprache:	eng
Schlagworte:	Advection Advection-diffusion equation Cosmic rays Diffusion Mathematics - Mathematical Physics Physics - High Energy Astrophysical Phenomena Physics - Mathematical Physics Physics - Statistical Mechanics
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Zusammenfassung:	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.
ISSN:	2331-8422
DOI:	10.48550/arxiv.1412.5504