13 citations · 19 across the 5 of their papers we have counts for
7 papers
Charge transport modelling of lithium ion batteries
Giles W Richardson, Jamie M Foster, Rahifa Ranom +2
This paper presents the current state of mathematical modelling of the electrochemical behaviour of lithium-ion batteries as they are charged and discharged. It reviews the models…
Nash equilibria strategies and equivalent single-objective optimization problems. The case of linear partial differential equations
Angel Manuel Ramos
In this paper we study the existence and uniqueness of Nash equilibria (solution to competition-wise problems, with several controls trying to reach possibly different goals) assoc…
On the well-posedness of a multiscale mathematical model for Lithium-ion batteries
Jesús Ildefonso Díaz, David Gómez-Castro, Angel Manuel Ramos
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 Li…
Solution landscapes in nematic microfluidics
Maria Crespo, Ian Griffiths, Apala Majumdar +1
We study the static equilibria of a simplified Leslie--Ericksen model for a unidirectional uniaxial nematic flow in a prototype microfluidic channel, as a function of the pressure…
On the well-posedness of a mathematical model for Lithium-ion batteries
Angel Manuel Ramos
In this article we discuss the well-posedness of a mathematical model that is used in the literature for the simulation of Lithium-ion (Li-ion) batteries. First, a mathematical mod…
Some comments on the Butler-Volmer equation for modeling Lithium-ion batteries
A. M. Ramos, C. P. Please
In this article the Butler-Volmer equation used in describing Lithium-ion (Li-ion) batteries is discussed. First, a complete mathematical model based on a macro-homogeneous approac…