International Journal of Computational and Applied Mathematics & Computer Science
Print ISSN: , E-ISSN: 2769-2477
Volume 2, 2022
Generalized Solution of Transport Equation
Authors: Abdelmjid Benmerrous, Lalla Saadia Chadli, Abdelaziz Moujahid, Said Melliani
Abstract: This paper proves the existence and uniqueness of solution of irregular transport problem with variable speed and initial data in the Colombeau algebra G, and some important proprieties of Colombeau algebra. The existence of distribution solutions to some classes of such equations is proven.