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March  2002, 1(1): 77-84. doi: 10.3934/cpaa.2002.1.77

Global existence of solutions to a reaction diffusion system based upon carbonate reaction kinetics

Congming Li 1, and  Eric S. Wright 2,

1. 

Department of Applied Mathematics, University of Colorado at Boulder, United States
2. 

Department of Applied Mathematics, University of Colorado at Boulder, Campus Box 526, Boulder, CO 80309, United States

Received  July 2001 Published  December 2001

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.
Keywords: partial differential equations, Carbonate system.
Mathematics Subject Classification: Primary: 35B35, 35B45, 35B50, 35B60, 35K45,35K57, Secondary: 80A30, 80A32, 80A50, 92E2.
Citation: Congming Li, Eric S. Wright. Global existence of solutions to a reaction diffusion system based upon carbonate reaction kinetics. Communications on Pure & Applied Analysis, 2002, 1 (1) : 77-84. doi: 10.3934/cpaa.2002.1.77
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