Bibliographic Details
| Title: |
EXISTENCE OF SOLUTIONS TO THE POISSON--NERNST--PLANCK SYSTEM WITH SINGULAR PERMANENT CHARGES IN R². |
| Authors: |
CHIA-YU HSIEH, YONG YU |
| Superior Title: |
SIAM Journal on Mathematical Analysis; 2022, Vol. 54 Issue 1, p1223-1240, 18p |
| Subject Terms: |
FOKKER-Planck equation, ARGUMENT |
| Abstract: |
In this paper, we study the well-posedness of the Poisson--Nernst--Planck system with no-flux boundary condition and singular permanent charges in two dimensions. The main difficulty comes from the lack of integrability of singular permanent charges. In order to overcome the difficulty, the main idea is to transform the system into another weighted parabolic system. By choosing suitable weighted spaces, local existence of solutions can be obtained based on a fixed-point argument. Moreover, we also prove global existence by energy estimates under the smallness assumption on initial data. [ABSTRACT FROM AUTHOR] |
|
Copyright of SIAM Journal on Mathematical Analysis is the property of Society for Industrial & Applied Mathematics and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) |
| Database: |
Complementary Index |
