590 articles – 417 Notices  [english version]
 HAL : hal-00323332, version 2
 arXiv : 0809.3530
 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
 (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
Liste des fichiers attachés à ce document :
 PDF
 utpe1b.pdf(248.9 KB)
 PS
 utpe1b.ps(732.4 KB)
 hal-00323332, version 2 http://hal.archives-ouvertes.fr/hal-00323332 oai:hal.archives-ouvertes.fr:hal-00323332 Contributeur : Alain Pham Ngoc Dinh <> Soumis le : Lundi 14 Novembre 2011, 17:50:59 Dernière modification le : Vendredi 16 Décembre 2011, 15:51:15