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Volume 35, Issue 2
Global Existence and Time-Decay Rates of Solutions to 2D Magneto-Micropolar Fluid Equations with Partial Viscosity

Cheng Lu & Yuzhu Wang

DOI: 10.4208/jpde.v35.n2.5

J. Part. Diff. Eq., 35 (2022), pp. 173-198.

Published online: 2022-04

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  • Abstract

In this paper, we investigate the initial value problem for the two-dimensional magneto-micropolar fluid equations with partial viscosity. We prove that global existence of smooth large solutions by the energy method. Furthermore, with aid of the Fourier splitting methods, optimal time-decay rates of global smooth large solutions are also established.

  • Keywords

Magneto-micropolar fluid equations with partial viscosity, global smooth large solutions, time-decay rates.

  • AMS Subject Headings

35K55, 35B40

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

1079801573@qq.com (Cheng Lu)

wangyuzhu@ncwu.edu.cn (Yuzhu Wang)

  • BibTex
  • RIS
  • TXT
@Article{JPDE-35-173, author = {Lu , Cheng and Wang , Yuzhu}, title = {Global Existence and Time-Decay Rates of Solutions to 2D Magneto-Micropolar Fluid Equations with Partial Viscosity}, journal = {Journal of Partial Differential Equations}, year = {2022}, volume = {35}, number = {2}, pages = {173--198}, abstract = {

In this paper, we investigate the initial value problem for the two-dimensional magneto-micropolar fluid equations with partial viscosity. We prove that global existence of smooth large solutions by the energy method. Furthermore, with aid of the Fourier splitting methods, optimal time-decay rates of global smooth large solutions are also established.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v35.n2.5}, url = {http://global-sci.org/intro/article_detail/jpde/20450.html} }
TY - JOUR T1 - Global Existence and Time-Decay Rates of Solutions to 2D Magneto-Micropolar Fluid Equations with Partial Viscosity AU - Lu , Cheng AU - Wang , Yuzhu JO - Journal of Partial Differential Equations VL - 2 SP - 173 EP - 198 PY - 2022 DA - 2022/04 SN - 35 DO - http://doi.org/10.4208/jpde.v35.n2.5 UR - https://global-sci.org/intro/article_detail/jpde/20450.html KW - Magneto-micropolar fluid equations with partial viscosity, global smooth large solutions, time-decay rates. AB -

In this paper, we investigate the initial value problem for the two-dimensional magneto-micropolar fluid equations with partial viscosity. We prove that global existence of smooth large solutions by the energy method. Furthermore, with aid of the Fourier splitting methods, optimal time-decay rates of global smooth large solutions are also established.

Lu , Cheng and Wang , Yuzhu. (2022). Global Existence and Time-Decay Rates of Solutions to 2D Magneto-Micropolar Fluid Equations with Partial Viscosity. Journal of Partial Differential Equations. 35 (2). 173-198. doi:10.4208/jpde.v35.n2.5
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