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math.AP2026
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…
math.AP2026
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…