Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5024590 | Nonlinear Analysis: Theory, Methods & Applications | 2017 | 21 Pages |
Abstract
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 Lp-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.
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Authors
Martin Herberg, Martin Meyries, Jan Prüss, Mathias Wilke,