3 papers
math.AP2026
Local existence of solutions and blow-up criteria for the Boussinesq equations in Lei-Lin-Gevrey Spaces
PatrÃcia 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…
math.AP2025
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…
math.AP2024
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…