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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 \(W_p^{2,1}([0,T]\!\times\!\Omega)\). 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 GLOBAL SOLUTIONS OF MULTICOMPONENT REACTIVE TRANSPORT PROBLEMS WITH MASS ACTION KINETICS IN POROUS MEDIA