5 papers
On solutions for damped fractional Navier-Stokes equations in a critical Lei-Lin-Gevrey space
Bruno S. Donato, Wilberclay G. Melo, Thyago S. R. Santos
We study the fractional Navier-Stokes equations with cubic damping in the specific Lei-Lin-Gevrey space (with and ). We establi…
Local existence of solutions and blow-up criteria for the Boussinesq equations in Lei-Lin-Gevrey Spaces
Patrícia L. Guidolin, Wilberclay G. Melo, Thyago S. R. Santos
This paper studies the local well-posedness and the behavior at potential finite blow-up times of mild solutions to the three-dimensional fractional Boussinesq equations in Lei-Lin…
Exponential blow-up of mild solutions to the fractional Boussinesq equations in the Gevrey class
Wilberclay G. Melo, Cilon Perusato, Thyago S. R. Santos
This work establishes conditions for the existence and uniqueness of local mild solutions to the Boussinesq equations with fractional dissipations in Sobolev-Gevrey spaces. We prov…
Temporal decay rates for weak solutions of the Navier-Stokes Equations with supercritical fractional dissipation
Wilberclay G. Melo
In this paper, we establish temporal decay for a weak solution (with initial data ) of the Navier-Stokes equations with supercritical fractional dissipation $α\in (0,…
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…