RT Journal Article
T1 On the well-posedness of a mathematical model for lithium-ion batteries.
A1 Ramos Del Olmo, Ángel Manuel
AB We discuss the well-posedness of a mathematical model that is used in the literature for the simulation of lithium-ion batteries. First, a mathematical model based on a macrohomogeneous approach is presented, following previous work. Then it is shown, from a physical and a mathematical point of view, that a boundary condition widely used in the literature is not correct. Although the errors could be just sign typos (which can be explained as carelessness in the use of d/dx versus d/dn, with n the outward unit vector) and authors using this model probably use the correct boundary condition when they solve it in order to do simulations, readers should be aware of the right choice. Therefore, the deduction of the correct boundary condition is done here, and a mathematical study of the well-posedness of the corresponding problem is presented.
PB Elsevier Science Inc
SN 0307-904X
YR 2016
FD 2016
LK https://hdl.handle.net/20.500.14352/24503
UL https://hdl.handle.net/20.500.14352/24503
LA spa
NO Ministerio de Economía y Competitividad (MINECO)
NO Banco Santander and Universidad Complutense de Madrid
NO Junta de Andalucía and the European Regional Development Fund
DS Docta Complutense
RD 7 abr 2025