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Global Solvability of a Continuous and Restricted Coagulation Process in a Moving Medium |
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PP: 2733-2739 |
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Author(s) |
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Emile Franc Doungmo Goufo,
Suares Clovis Oukouomi Noutchie,
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Abstract |
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| 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. |
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