Herberg, Martin and Meyries, Martin and Pruess, Jan and Wilke, Mathias (2017) Reaction-diffusion systems of Maxwell Stefan type with reversible mass-action kinetics. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 159. pp. 264-284. ISSN 0362-546X, 1873-5215
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The mass-based Maxwell Stefan approach to one-phase multicomponent reactive mixtures is mathematically analyzed. It is shown that the resulting quasilinear, strongly coupled reaction diffusion system is locally well-posed in an L-p-setting and generates a local semiflow on its natural state space. Solutions regularize instantly and become strictly positive if their initial components are all nonnegative and nontrivial. For a class of reversible mass-action kinetics, the positive equilibria are identified: these are precisely the constant chemical equilibria of the system, which may form a manifold. Here the total free energy of the system is employed which serves as a Lyapunov function for the system. By the generalized principle of linearized stability, positive equilibria are proved to be normally stable. (C) 2016 Elsevier Ltd. All rights reserved.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | EXISTENCE; EQUATIONS; Maxwell-Stefan diffusion; Reversible mass-action kinetics; Maximal L-p-regularity |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 14 Dec 2018 13:16 |
| Last Modified: | 19 Feb 2019 13:07 |
| URI: | https://pred.uni-regensburg.de/id/eprint/1510 |
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