most citedDecay Rates of global weak solutions for the MHD equations in $\dot{\mbox{\boldmath{$H$}}}^{s}(\mathbb{R}^n)$

1 citations · 1 across the 2 of their papers we have counts for

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2 papers

math.AP2017

Asymptotic behavior of global weak solutions for the micropolar dynamics in

Robert Guterres, Juliana Nunes, Cilon Perusato

In this paper the long time behavior of the micropolar fluid equations energy on three dimensional space are studied. We show that $ \| (u,w)(\cdot,t) \|_{{L^{2}(\mathbb{R}^{3})}}…

math.AP2017★ 1 cited

Decay Rates of global weak solutions for the MHD equations in $\dot{\mbox{\boldmath{$H$}}}^{s}(\mathbb{R}^n)$

Robert Guterres, Juliana Nunes, Cilon Perusato

We show that $t^{s/2} \Vert (\mbox{\boldmath $u$},\mbox{\boldmath $b$})(.,t)\Vert_{\dot{H}(\mathbb{R}^{n})} \rightarrow 0,$ as for Leray solutions $(\mbox{\bo…