论文标题
3D磁铁 - 微极流体的尖锐衰减估计和渐近行为
Sharp decay estimates and asymptotic behaviour for 3D magneto-micropolar fluids
论文作者
论文摘要
我们以初始基准的衰减特征来表征3D Magneto-Micropolar系统的$ L^2 $衰减率。由于线性阻尼项，微旋转场的衰减速率更快。我们还通过将溶液与线性部分进行比较来解决溶液的渐近行为。由于线性阻尼，微旋转场及其线性部分之间的差异也更快。作为这些结果证明的一部分，我们证明了可能具有独立利益的解决方案的衍生物的估计。
We characterize the $L^2$ decay rate of solutions to the 3D magneto-micropolar system in terms of the decay character of the initial datum. Due to a linear damping term, the micro-rotational field has a faster decay rate. We also address the asymptotic behaviour of solutions by comparing them to solutions to the linear part. As a result of the linear damping, the difference between the micro-rotational field and its linear part also decays faster. As part of the proofs of these results, we prove estimates for the derivatives of solutions which might be of independent interest.
