1 citations · 1 across the 4 of their papers we have counts for
4 papers
Strong Alignment of Micro-rotation and Vorticity in 3D Micropolar Flows
Robert Guterres, Wilberclay Melo, César Niche +2
Rigid particles suspended on a micropolar fluid provide microstructure that coexists and interacts with the local rotation of the fluid given by the vorticity. In this work we prov…
Upper and lower estimates for solutions to parabolic equations
Robert H. Guterres, César J. Niche, Cilon F. Perusato +1
In this article we prove results concerning upper and lower decay estimates for homogeneous Sobolev norms of solutions to a rather general family of parabolic equations. Following…
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})}}…
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…