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math.AP2022
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…
math.AP2022
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…
math.AP2022
Algebraic decay rates for 3D Navier-Stokes and Navier-Stokes-Coriolis equations in
Masahiro Ikeda, Leonardo Kosloff, César J. Niche +1
An algebraic upper bound for the decay rate of solutions to the Navier-Stokes and Navier-Stokes-Coriolis equations in the critical space is…