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An elliptic problem with strongly nonlinear interface condition

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ABSTRACT We consider a system of partial differential equations arising in the modelling of the electrochemical processes in Li-ion batteries. In this simplification, it consists of two elliptic equations in… Click to show full abstract

ABSTRACT We consider a system of partial differential equations arising in the modelling of the electrochemical processes in Li-ion batteries. In this simplification, it consists of two elliptic equations in two domains separated by an interface. At the interface holds a Neumann condition that depends exponentially on the jump of the solution at the interface (Butler–Vollmer equation). We prove unique existence of a solution and a comparison principle.

Keywords: elliptic problem; nonlinear interface; strongly nonlinear; condition; problem strongly; interface

Journal Title: Applicable Analysis
Year Published: 2020

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