Large time behavior of differential equations with drifted periodic coefficients modeling carbon storage in soil (Q426626)

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scientific article; zbMATH DE number 6045325
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Large time behavior of differential equations with drifted periodic coefficients modeling carbon storage in soil
scientific article; zbMATH DE number 6045325

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    Large time behavior of differential equations with drifted periodic coefficients modeling carbon storage in soil (English)
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    11 June 2012
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    The authors consider a linear ordinary differential equation which represents a simplified model of the carbon in the soil. Firstly, they investigate the asymptotic behavior of the solution of the ordinary differential equation. Secondly, the previous results are extended to a classical heat non-homogeneous equation. Thirdly, they consider the connection with an analytic semi-group associated to the ordinary differential equation. Finally, some numerical examples are given.
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    ordinary differential equations
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    parabolic differential equations
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    analytic semi group
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    T-periodic function
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    linear drift
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    Cauchy sequence
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    series estimates
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