Existence and Time Decay for Global Small Solution of 2D Generalized Magneto-Micropolar Equations
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DOI: 10.1007/s10440-021-00421-6
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.… read more here.
Keywords: existence time; decay; micropolar equations; magneto micropolar ... See more keywords
Large Time Decay Rates of the 2D Micropolar Equations with Linear Velocity Damping
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DOI: 10.3390/math11102311
Abstract: This paper studies the large time behavior of solutions to the 2D micropolar equations with linear damping velocity. It is proven that the global solutions have rapid time decay rates ∥∇ω∥L2+∥∇u∥L2≤C(1+t)−32 and ∥u∥L2≤C(1+t)−32,∥ω∥L2≤C(1+t)−1. The findings… read more here.
Keywords: equations linear; time; decay rates; time decay ... See more keywords