EXISTENCE OF GLOBAL SOLUTIONS OF MULTICOMPONENT REACTIVE TRANSPORT PROBLEMS WITH MASS ACTION KINETICS IN POROUS MEDIA

Serge Kräutle

doi:10.11948/2011034

2011 Volume 1 Issue 4

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Serge Kräutle. EXISTENCE OF GLOBAL SOLUTIONS OF MULTICOMPONENT REACTIVE TRANSPORT PROBLEMS WITH MASS ACTION KINETICS IN POROUS MEDIA[J]. Journal of Applied Analysis & Computation, 2011, 1(4): 497-515. doi: 10.11948/2011034

Citation:

Serge Kräutle. EXISTENCE OF GLOBAL SOLUTIONS OF MULTICOMPONENT REACTIVE TRANSPORT PROBLEMS WITH MASS ACTION KINETICS IN POROUS MEDIA[J]. Journal of Applied Analysis & Computation, 2011, 1(4): 497-515. doi: 10.11948/2011034

EXISTENCE OF GLOBAL SOLUTIONS OF MULTICOMPONENT REACTIVE TRANSPORT PROBLEMS WITH MASS ACTION KINETICS IN POROUS MEDIA

Serge Kräutle

University of Erlangen-Nuremberg, Department of Mathematics, Martensstr. 3, 91058 Erlangen, Germany

Abstract

Abstract

We prove the existence and uniqueness of time-global solutions for multi-species multi-reaction advection-diffusion-dispersion problems with mass action kinetics in the space W_p^2,1([0, T]×Ω). The reaction terms of mass action kinetics may contain polynomial expressions of arbitrarily high order. The difficulty to obtain an a priori estimate for the semilinar system of PDEs is tackled with a special Lyapunov function.
- Existence of solutions /
- A priori estimate /
- Parabolic equations /
- Reactive transport /
- Mass action kinetics
MSC: 35A01;35B45;35K51;35K57;35K58;92E20

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