THE TIME DECAY RATES OF THE CLASSICAL SOLUTION TO THE POISSON-NERNST-PLANCK-FOURIER EQUATIONS IN R3

被引：0
作者：
Tong, Leilei [1 ]
Tan, Zhong [2 ,3 ]
Zhang, Xu [4 ]
机构：
[1] Chongqing Univ Posts & Telecommun, Sch Sci, Chongqing 400065, Peoples R China
[2] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China
[3] Xiamen Univ, Fujian Prov Key Lab Math Modeling & High Performa, Xiamen 361005, Peoples R China
[4] Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Peoples R China
来源：
ACTA MATHEMATICA SCIENTIA | 2022年 / 42卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Poisson-Nernst-Planck-Fourier system; decay rates; energy method; ASYMPTOTIC-BEHAVIOR; GLOBAL EXISTENCE; QUALITATIVE PROPERTIES; ION CHANNELS; SYSTEMS; TRANSPORT; PERTURBATION; MODEL;
D O I：
10.1007/s10473-022-0315-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this work, the Poisson-Nernst-Planck-Fourier system in three dimensions is considered. For when the initial data regards a small perturbation around the constant equilibrium state in a H-3 boolean AND over dot(H)(-s) (0 <= s <= 1/2) norm, we obtain the time convergence rate of the global solution by a regularity interpolation trick and an energy method.
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页码：1081 / 1102
页数：22
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