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Global existence of solutions to a reaction diffusion system based upon carbonate reaction kinetics. (English) Zbl 1183.35169

Summary: The carbonate system is an important reaction system in natural waters because it plays the role of a buffer, regulating the pH of the water. We present a global existence result for a system of partial differential equations that can be used to model the combined dynamics of diffusion, advection, and the reaction kinetics of the carbonate system.

MSC:

35K57 Reaction-diffusion equations
80A30 Chemical kinetics in thermodynamics and heat transfer
92E20 Classical flows, reactions, etc. in chemistry
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