Weak Solution to a Parabolic Nonlinear System Arising in Biological Dynamic in the Soil

Weak Solution to a Parabolic Nonlinear System Arising in Biological Dynamic in the Soil

We study a nonlinear parabolic system governing the biological dynamic in the soil. We prove global existence (in time) and uniqueness of weak and positive solution for this reaction-diffusion semilinear system in a bounded domain, completed with homogeneous Neumann boundary conditions and positive...

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Veröffentlicht in:International journal of differential equations 2011, Vol.2011 (2011), p.1-24
Hauptverfasser: Goudjo, Côme, Lèye, Babacar, Sy, Mamadou
Format: Artikel
Sprache:eng
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Zusammenfassung:We study a nonlinear parabolic system governing the biological dynamic in the soil. We prove global existence (in time) and uniqueness of weak and positive solution for this reaction-diffusion semilinear system in a bounded domain, completed with homogeneous Neumann boundary conditions and positive initial conditions.
ISSN:1687-9643
1687-9651