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arXiv : 0809.3530

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Applied Mathematics and Computation 218 (2012) 5641-5654

Versions disponibles :

v1 (20-09-2008)

v2 (15-11-2011)

Large time behavior of differential equations with drifted periodic coefficients modeling Carbon storage in soil

Stephane Cordier 1, Le Xuan Truong 2, Long Nguyen Thanh 3, Alain Pham Ngoc Dinh 1

(2012)

This paper is concerned with the linear ODE in the form $y'(t)=\lambda\rho(t)y(t)+b(t)$, $\lambda <0$ which represents a simplified storage model of the carbon in the soil. In the first part, we show that, for a periodic function $\rho(t)$, a linear drift in the coefficient $b(t)$ involves a linear drift for the solution of this ODE. In the second part, we extend the previous results to a classical heat non-homogeneous equation. The connection with an analytic semi-group associated to the ODE equation is considered in the third part. Numerical examples are given.

1 :	Mathématiques - Analyse, Probabilités, Modélisation - Orléans (MAPMO)
	Université d'Orléans – CNRS : UMR7349
2 :	Department of Mathematics
	University of Technical Education of HoChiMinh City
3 :	Department of Mathematics and Computer Science
	College of Natural Science, VietNam National University HoChiMinh City

Domaine

:

Mathématiques/Equations aux dérivées partielles

Mots Clés : Ordinary differential equations – Parabolic differential equations – analytic semi group – T-periodic function – linear drift – Cauchy sequence – series' estimates

hal-00323332, version 2

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Contributeur : Alain Pham Ngoc Dinh <>

Soumis le : Lundi 14 Novembre 2011, 17:50:59

Dernière modification le : Vendredi 16 Décembre 2011, 15:51:15