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arXiv · 2604.12790

Long-time behaviour of a nonlocal model for electroporation

Barbara Niethammer·Lorena Pohl·Juan J. L. Velázquez
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Abstract

In this paper we analyze a model for electroporation, a biological process in which a cell membrane exposed to an external voltage becomes permeable due to the formation and growth of nanoscale membrane pores. We prove a local stability result for asymptotic self-similar solutions with a power-law tail. Our method relies on the analysis of an equation for the first moment as well as comparison of solutions of the full problem to solutions of a corresponding transport problem. In particular this shows that the transport term drives the long-time behaviour.

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Barbara Niethammer, Lorena Pohl, Juan J. L. Velázquez. 2026-04-14. Long-time behaviour of a nonlocal model for electroporation. https://arxiv.org/abs/2604.12790

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