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Volume 6, Issue 2
Optimal Decay Rates for the Highest-Order Derivatives of Solutions for the Compressible MHD Equations with Coulomb Force

Liuna Qin & Zhengyan Luo

DOI: 10.12150/jnma.2024.305

J. Nonl. Mod. Anal., 6 (2024), pp. 305-319.

Published online: 2024-06

[An open-access article; the PDF is free to any online user.]

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  • 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.

  • Keywords

MHD equations, highest-order derivatives, optimal decay rates.

  • AMS Subject Headings

35Q35, 35B40, 76W05

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JNMA-6-305, author = {Qin , Liuna and Luo , Zhengyan}, title = {Optimal Decay Rates for the Highest-Order Derivatives of Solutions for the Compressible MHD Equations with Coulomb Force}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2024}, volume = {6}, number = {2}, pages = {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.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2024.305}, url = {http://global-sci.org/intro/article_detail/jnma/23177.html} }
TY - JOUR T1 - Optimal Decay Rates for the Highest-Order Derivatives of Solutions for the Compressible MHD Equations with Coulomb Force AU - Qin , Liuna AU - Luo , Zhengyan JO - Journal of Nonlinear Modeling and Analysis VL - 2 SP - 305 EP - 319 PY - 2024 DA - 2024/06 SN - 6 DO - http://doi.org/10.12150/jnma.2024.305 UR - https://global-sci.org/intro/article_detail/jnma/23177.html KW - MHD equations, highest-order derivatives, optimal decay rates. AB -

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.

Liuna Qin & Zhengyan Luo. (2024). Optimal Decay Rates for the Highest-Order Derivatives of Solutions for the Compressible MHD Equations with Coulomb Force. Journal of Nonlinear Modeling and Analysis. 6 (2). 305-319. doi:10.12150/jnma.2024.305
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