Analysis of an electrochemistry model with zero-flux boundary conditions

Abstract

In this paper we proved the existence and uniquenus of solutions of a timedependent electrochemistry model with multiple species under the zero-flux boundary conditions. The species, or charged ions, migrate under the influence of diffusion and an imposed electric field which is also an unknown function. Uniqueness and global stability of the steady-state solation of this model in the single species case are also established.

Keywords:

• Electrochemistry
• ions
• electric potential
• diffusion
• local existence
• global existence
• uniqueness
• global stability

^*Research partially supported by NSF grant no. DMS-9208836.

^†Research partially supported by NSF grant no. DMS-8920597.

^*Research partially supported by NSF grant no. DMS-9208836.

^†Research partially supported by NSF grant no. DMS-8920597.

Notes

^*Research partially supported by NSF grant no. DMS-9208836.

^†Research partially supported by NSF grant no. DMS-8920597.