Analysis of integro-differential equations modeling the vertical decomposition of soil organic matter
Author:
Abstract
In this paper, a family of first-order hyperbolic integro-differential equations introduced to model the decomposition of organic matter (OM) are studied. These original equations depend on an extra variable named “quality”. We prove that these equations admit solutions in particular Banach spaces ensuring the continuity and the N N -order closure of equations ( N ∈ N ∗ N\in \mathbb {N}^* ) according to “quality”. We first give a result of existence, uniqueness and smoothness in a general framework. Then, this result is applied to specific transport equations. Finally, a numerical illustration of solutions properties is given by using an implicit-explicit finite difference scheme.
Publisher
American Mathematical Society (AMS)
Subject
Applied Mathematics
Link
http://www.ams.org/qam/2017-75-01/S0033-569X-2016-01438-9/S0033-569X-2016-01438-9.pdf
Reference19 articles.
1. G.I. Ågren and E. Bosatta, Quality: A bridge between theory and experiment in soil organic matter studies, Oikos 76 (1996), no. 3, 522–528.
2. \bysame, Theoretical ecosystem ecology: Understanding element cycles, Cambridge University Press, 1998.
3. G.I. Ågren, E. Bosatta, and J. Balesdent, Isotope discrimination during decomposition of organic matter: A theoretical analysis, Soil Science Society of America Journal 60 (1996), no. 4, 1121–1126.
4. E. Bosatta and G.I. Ågren, Theoretical analyses of decomposition of heterogeneous substrates, Soil Biology and Biochemistry 17 (1985), no. 5, 601–610.
5. \bysame, Dynamics of carbon and nitrogen in the organic-matter of the soil - a generic theory, American Naturalist 138 (1991), no. 1, 227–245.
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1. C-STABILITY an innovative modeling framework to leverage the continuous representation of organic matter;Nature Communications;2021-02-05
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