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- W2517652183 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 <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper N> <mml:semantics> <mml:mi>N</mml:mi> <mml:annotation encoding=application/x-tex>N</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-order closure of equations (<inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper N element-of double-struck upper N Superscript asterisk> <mml:semantics> <mml:mrow> <mml:mi>N</mml:mi> <mml:mo>∈<!-- ∈ --></mml:mo> <mml:msup> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mi mathvariant=double-struck>N</mml:mi> </mml:mrow> <mml:mo>∗<!-- ∗ --></mml:mo> </mml:msup> </mml:mrow> <mml:annotation encoding=application/x-tex>Nin mathbb {N}^*</mml:annotation> </mml:semantics> </mml:math> </inline-formula>) 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." @default.
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- W2517652183 date "2016-08-24" @default.
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- W2517652183 title "Analysis of integro-differential equations modeling the vertical decomposition of soil organic matter" @default.
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- W2517652183 doi "https://doi.org/10.1090/qam/1438" @default.
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