Global Solvability of a Continuous and Restricted Coagulation Process in a Moving Medium

Authors

Emile Franc Doungmo Goufo, Department of Mathematical Sciences, University of South Africa, Florida 0003, South AfricaFollow
Suares Clovis Oukouomi Noutchie, Department of Mathematical Sciences, North-west University, Mafikeng 2735, South AfricaFollow

Author Country (or Countries)

South Africa

Abstract

In this paper, existence and uniqueness of a global solution to continuous, non-common and non-linear convectioncoagulation equations are investigated by means of various techniques. The method of characteristics (Mizohata, 1973), substochastic methods and Kato-Voigt pertubation (Banasiak et al., 2006) are exploited to show that the linear operator (transport-coagulation ) is the infinitesimal generator of a strongly continuous semigroup. Then, uniqueness of the solution to the full nonlinear problem follows by showing that the coagulation term is globally Lipschitz, hereby addressing the problem of existence and uniqueness for the combined coagulation and transport processes.

Recommended Citation

Franc Doungmo Goufo, Emile and Clovis Oukouomi Noutchie, Suares (2015) "Global Solvability of a Continuous and Restricted Coagulation Process in a Moving Medium," Applied Mathematics & Information Sciences: Vol. 09: Iss. 5, Article 59.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol09/iss5/59