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Ramos del Olmo, Ángel Manuel (2016) On the wellposedness of a mathematical model for lithiumion batteries. Applied Mathematical Modelling, 40 (1). pp. 115125. ISSN 0307904X

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Official URL: http://www.sciencedirect.com/science/article/pii/S0307904X15003546
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Abstract
We discuss the wellposedness of a mathematical model that is used in the literature for the simulation of lithiumion 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 wellposedness of the corresponding problem is presented.
Item Type:  Article 

Uncontrolled Keywords:  Boundary conditions; Existence of solution; Lithiumion batteries; Mathematical model; Partial differential equations; Uniqueness of solution 
Subjects:  Sciences > Mathematics > Combinatorial analysis 
ID Code:  37813 
Deposited On:  23 May 2016 14:04 
Last Modified:  12 Dec 2018 15:06 
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