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Existence of global solutions of multicomponent reactive transport problems with mass action kinetics in porous media

Kräutle S (2011)

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Publication Status: Published

Publication Type: Journal article

Publication year: 2011

Journal

Book Volume: 1

Pages Range: 497-515

Journal Issue: 4

DOI: 10.11948/2011034

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] x 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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How to cite

APA:

Kräutle, S. (2011). Existence of global solutions of multicomponent reactive transport problems with mass action kinetics in porous media. JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 1(4), 497-515. https://dx.doi.org/10.11948/2011034

MLA:

Kräutle, Serge. "Existence of global solutions of multicomponent reactive transport problems with mass action kinetics in porous media." JOURNAL OF APPLIED ANALYSIS AND COMPUTATION 1.4 (2011): 497-515.

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