On the well-posedness of a multiscale mathematical model for Lithium-ion batteries-Reference-Cited by-同舟云学术

On the well-posedness of a multiscale mathematical model for Lithium-ion batteries

Published:2018-06-07 Issue:1 Volume:8 Page:1132-1157
ISSN:2191-9496
Container-title:Advances in Nonlinear Analysis
language:en
Short-container-title:

Author:

Díaz J. Ildefonso¹^ORCID,Gómez-Castro David²^ORCID,Ramos Angel M.¹

Affiliation:

1. Instituto de Matemática Interdisciplinar , Universidad Complutense de Madrid , Plaza de Ciencias, 3, 28040 Madrid ; and Department of Applied Mathematics and Mathematical Analysis, Universidad Complutense de Madrid, Plaza de Ciencias, 3, 28040 Madrid , Spain

2. Instituto de Matemática Interdisciplinar , Universidad Complutense de Madrid , Plaza de Ciencias, 3, 28040 Madrid ; and Departamento de Matemática Aplicada, Escuela Técnica Superior de Ingeniería – ICAI, Universidad Pontificia Comillas, C/ Alberto Aguilera, 25, 28015 Madrid , Spain

Abstract

Abstract We consider the mathematical treatment of a system of nonlinear partial differential equations based on a model, proposed in 1972 by J. Newman, in which the coupling between the Lithium concentration, the phase potentials and temperature in the electrodes and the electrolyte of a Lithium battery cell is considered. After introducing some functional spaces well-adapted to our framework, we obtain some rigorous results showing the well-posedness of the system, first for some short time and then, by considering some hypothesis on the nonlinearities, globally in time. As far as we know, this is the first result in the literature proving existence in time of the full Newman model, which follows previous results by the third author in 2016 regarding a simplified case.

Funder

Ministerio de Educación Cultura y Deporte

Publisher

Walter de Gruyter GmbH

Subject

Analysis

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