Optimal Decay Rates for the Highest-Order Derivatives of Solutions for the Compressible MHD Equations with Coulomb Force
Year: 2024
Author: Liuna Qin, Zhengyan Luo
Journal of Nonlinear Modeling and Analysis, Vol. 6 (2024), Iss. 2 : pp. 305–319
Abstract
For the Cauchy problem of the 3D compressible MHD equations with Coulomb force, the large time behavior of this model is further investigated in this article. Compared to the previous related works in Tan-Tong-Wang [J. Math. Anal. Appl. 427 (2015) 600–617], the main novelty of this paper is that we prove the optimal decay rates for the highest-order spatial derivatives of the solutions to the compressible MHD equations with Coulomb force, which are the same as those of the heat equation.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2024.305
Journal of Nonlinear Modeling and Analysis, Vol. 6 (2024), Iss. 2 : pp. 305–319
Published online: 2024-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 15
Keywords: MHD equations highest-order derivatives optimal decay rates.