JOURNAL ARTICLE

Global existence and temporal decay of large solutions for the Poisson–Nernst–Planck equations in low regularity spaces.

Published In: Mathematical Methods in the Applied Sciences, 2023, v. 46, n. 2. P. 1667 1 of 3
Database: Academic Search Ultimate 2 of 3
Authored By: Zhao, Jihong; Liu, Xilan 3 of 3

Abstract

We are concerned with the global existence and decay rates of large solutions for the Poisson–Nernst–Planck equations. Based on careful observation of algebraic structure of the equations and using the weighted Chemin–Lerner‐type norm, we obtain the global existence and optimal decay rates of large solutions without requiring the summation of initial densities of a negatively and positively charged species that is small enough. Moreover, the large solution is obtained for initial densities belonging to the low regularity Besov spaces with different regularity and integral indices, which indicates more specific coupling relations between the difference and the summation of negatively and positively charged densities. [ABSTRACT FROM AUTHOR]

Additional Information

Source:Mathematical Methods in the Applied Sciences. 2023/01, Vol. 46, Issue 2, p1667
Document Type:Article
Subject Area:History
Publication Date:2023
ISSN:0170-4214
DOI:10.1002/mma.8599
Accession Number:160872373
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