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.

引用

页码：1081 / 1102

页数：22

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