Weak solution to a parabolic nonlinear system arising in biological dynamic in the soil (Q762990)

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scientific article; zbMATH DE number 6013224
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Weak solution to a parabolic nonlinear system arising in biological dynamic in the soil
scientific article; zbMATH DE number 6013224

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    Weak solution to a parabolic nonlinear system arising in biological dynamic in the soil (English)
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    8 March 2012
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    Summary: We study a nonlinear parabolic system governing the biological dynamic in the soil. We prove global existence (in time) and uniqueness of a weak and positive solution for this reaction-diffusion semilinear system in a bounded domain, completed with homogeneous Neumann boundary conditions and positive initial conditions.
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    homogeneous Neumann boundary conditions
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    positive initial conditions
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