| Volume 1, Number 4, 2011, Pages 497-515 DOI：10.11948/2011034 |
| Existence of global solutions of multicomponent reactive transport problems with mass action kinetics in porous media |
| Serge Kräutle |
| Keywords:existence of solutions |
| 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 \(W_p^{2,1}([0,T]\!\times\!\Omega)\). 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. |
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