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Abstract The aim of this paper is to investigate a parabolic-elliptic system, which was proposed by Albi et al (2016) to describe the evolution of ion transport networks. Our first… Click to show full abstract
Abstract The aim of this paper is to investigate a parabolic-elliptic system, which was proposed by Albi et al (2016) to describe the evolution of ion transport networks. Our first result asserts that the corresponding Neumann-Dirichlet initial-boundary value problem possesses a global weak solution for general large data in the two-dimensional setting. Our second result further reveals that such solution at least eventually becomes bounded and smooth, and approaches spatial equilibria in the large time limit.
Keywords:
ion transport;
transport networks;
elliptic system;
parabolic elliptic
Journal Title: Journal of Differential Equations
Year Published: 2021
Link to full text (if available)
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Journal Title: Journal of Differential Equations
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!