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Global Existence and Exponential Decay of Strong Solutions of Nonhomogeneous Magneto-Micropolar Fluid Equations with Large Initial Data and Vacuum

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Abstract

The present paper concerns an initial boundary value problem of two-dimensional nonhomogeneous magneto-micropolar fluid equations with nonnegative density. We establish the global existence and exponential decay rates of strong solutions. In particular, the initial data can be arbitrarily large. The key idea is to use a lemma of Desjardins (Arch Rational Mech Anal 137:135–158, 1997).

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  1. School of Mathematics and Statistics, Southwest University, Chongqing, 400715, People’s Republic of China

    Xin Zhong

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  1. Xin Zhong
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Correspondence to Xin Zhong.

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Communicated by A. Constantin.

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Supported by National Natural Science Foundation of China (No. 11901474) and the Innovation Support Program for Chongqing Overseas Returnees (No. cx2019130).

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Zhong, X. Global Existence and Exponential Decay of Strong Solutions of Nonhomogeneous Magneto-Micropolar Fluid Equations with Large Initial Data and Vacuum. J. Math. Fluid Mech. 22, 35 (2020). https://doi.org/10.1007/s00021-020-00498-3

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  • DOI: https://doi.org/10.1007/s00021-020-00498-3

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