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

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

Year:    2022

Author:    Cheng Lu, Yuzhu Wang

Journal of Partial Differential Equations, Vol. 35 (2022), Iss. 2 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jpde.v35.n2.5

Journal of Partial Differential Equations, Vol. 35 (2022), Iss. 2 : pp. 173–198

Published online:    2022-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    26

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

Author Details

Cheng Lu

Yuzhu Wang

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