THE TIME DECAY RATES OF THE CLASSICAL SOLUTION TO THE POISSON-NERNST-PLANCK-FOURIER EQUATIONS IN R^(3)  

作　　者：Leilei TONG Zhong TAN Xu ZHANG 童雷雷;谭忠;张旭(School of Science,Chongqing University of Posts and Telecommunications,Chongqing 400065,China;School of Mathematical Sciences and Fujian Provincial Key Laboratory on Mathematical Modeling&High Performance Scientific Computing,Xiamen University,Xiamen 361005,China;School of Mathematics and Statistics,Zhengzhou University,Zhengzhou 450001,China)

机构地区：[1]School of Science,Chongqing University of Posts and Telecommunications,Chongqing 400065,China [2]School of Mathematical Sciences and Fujian Provincial Key Laboratory on Mathematical Modeling&High Performance Scientific Computing,Xiamen University,Xiamen 361005,China [3]School of Mathematics and Statistics,Zhengzhou University,Zhengzhou 450001,China

出　　处：《Acta Mathematica Scientia》2022年第3期1081-1102,共22页数学物理学报（B辑英文版）

基　　金：supported by the National Natural Science Foundation of China(12001077);the Science and Technology Research Program of Chongqing Municipal Education Commission(KJQN202000618);Chongqing University of Posts and Telecommunications startup fund(A2018-128);supported by the National Natural Science Foundation of China(11926316,11531010);supported by National Natural Science Foundation of China(11901537)。

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)∩■^(-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.

关 键 词：Poisson-Nernst-Planck-Fourier system decay rates energy method 

分 类 号：O175[理学—数学]