Comptes Rendus
no. 19-20
Differential Geometry/Dynamical Systems
On the kinetic equations of a lithium-ion battery model
[Sur les équations cinétiques dʼun modèle de la batterie lithium-ion]

Présenté par : the Editorial Board

Anania Gîrban1 ; Gabriel Gîrban2
1 “Politehnica” University of Timişoara, Department of Mathematics, Piaţa Victoriei Nr. 2, 300006-Timişoara, Romania
2 “Politehnica” University of Timişoara, Computer Science Department, V. Parvan, Nr. 2, 300223-Timişoara, Romania
Comptes Rendus. Mathématique, Volume 350 (2012) no. 19-20, pp. 917-920.

Dans cette Note, on donne une réalisation Hamilton–Poisson dʼun système obtenu à partir des équations cinétiques dʼun modèle bien connu pour la batterie lithium-ion, on intègre explicitement la compactification de Poincaré de ce système et on donne une formulation de Lax.

In this Note we provide a Hamilton–Poisson realization of the system obtained from the kinetic equations of a well known lithium-ion battery model, explicitly integrate the Poincaré compactification of this system and give a Lax formulation.

Reçu le :
Accepté le :
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DOI : 10.1016/j.crma.2012.10.008
Anania Gîrban 1 ; Gabriel Gîrban 2

1 “Politehnica” University of Timişoara, Department of Mathematics, Piaţa Victoriei Nr. 2, 300006-Timişoara, Romania
2 “Politehnica” University of Timişoara, Computer Science Department, V. Parvan, Nr. 2, 300223-Timişoara, Romania 
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Anania Gîrban; Gabriel Gîrban. On the kinetic equations of a lithium-ion battery model. Comptes Rendus. Mathématique, Volume 350 (2012) no. 19-20, pp. 917-920. doi : 10.1016/j.crma.2012.10.008. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2012.10.008/

[1] C.A. Buzzi; J. Llibre; J.C. Medrado Periodic orbits for a class of reversible quadratic vector field on R3, J. Math. Anal. Appl., Volume 335 (2007), pp. 1335-1346

[2] M. Doyle; T.F. Fuller; J. Newman Modeling of galvanostatic charge and discharge of the lithium/polymer/insertion cell, J. Electrochem. Soc., Volume 140 (1993) no. 6, p. 1526

[3] R.E. Garcia; Y.-M. Chiang; W.C. Carter; P. Limthongkul; C.M. Bishop Microstructural modeling and design of rechargeable lithium-ion batteries, J. Electrochem. Soc., Volume 152 (2005) no. 1, p. A255

[4] J.E. Marsden Lectures on Mechanics, London Mathematical Society Lecture Notes Series, vol. 174, Cambridge University Press, 1992

[5] T.S. Ratiu; R.M. Tudoran; L. Sbano; E. Sousa Dias; G. Terra A crash course in geometric mechanics, Geometric Mechanics and Symmetry: The Peyresq Lectures, London Mathematical Society Lecture Notes Series, vol. 306, Cambridge University Press, 2005, pp. 23-156 (Chapter II)

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