Optimal decay rates of the solution for generalized Poisson–Nernst–Planck–Navier–Stokes equations in $${\mathbb {R}}^3$$
Optimal decay rates of the solution for generalized Poisson–Nernst–Planck–Navier–Stokes equations in $${\mathbb {R}}^3$$
复制标题
DOI：
10.1007/s00033-021-01627-2
复制
发表时间：
2021-10
期刊：
影响因子：
--
通讯作者：
Leilei Tong;Zhong Tan
中科院分区：
文献类型：
--
作者：
Leilei Tong;Zhong Tan
本文将研究广义泊松-能斯特-普朗克-纳维-斯托克斯系统的柯西问题。基于谱分析和能量法，在初始数据的某些假设条件下，得到了解的下界和上界衰减率，表明解与线性化解以相同的衰减率收敛到恒平衡状态，且收敛率是最优的。
The Cauchy problem of a generalized Poisson–Nernst–Planck–Navier–Stokes system inwill be considered in this article. Based on the spectral analysis and the energy method, under some assumptions of the initial data, we obtain the lower bound and upper bound decay rates of the solution, which shows that the solution will converge to its constant equilibrium state at the same-decay rates as the linearized one and the convergence rates are optimal.