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This paper is concerned with the 2D magneto-micropolar equations with linear velocity damping and partial magnetic diffusion. We first examine that this system possesses a unique global smooth solution when… Click to show full abstract
This paper is concerned with the 2D magneto-micropolar equations with linear velocity damping and partial magnetic diffusion. We first examine that this system possesses a unique global smooth solution when the initial data is small. Moreover, we also study on the large-time behavior of these smooth solutions of the system. Under some new observation and rigorous analysis on the structure of the system, we establish the detail $L^{2}$ decay estimates for solutions and high-order derivatives.
Keywords:
existence time;
decay;
micropolar equations;
magneto micropolar;
solution
Journal Title: Acta Applicandae Mathematicae
Year Published: 2021
Link to full text (if available)
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Journal Title: Acta Applicandae Mathematicae
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!