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math.AP2022
On bilinear estimates and critical uniqueness classes for Navier-Stokes equations
Lucas C. F. Ferreira, Jhean E. Pérez-López, Julio C. Valencia-Guevara
We are concerned with bilinear estimates and uniqueness of mild solutions for the Navier-Stokes equations in critical spaces. For that, we construct general settings in which estim…
math.AP2022
On the fractional heat semigroup and product estimates in Besov spaces and applications in theoretical analysis of the fractional Keller-Segel system
Jhean E. Pérez-López, Diego A. Rueda-Gómez, Élder J. Villamizar-Roa
This paper is concerned with the fractional Keller-Segel system in the temporal and spatial variables. We consider fractional dissipation for the physical variables including a fra…
math.AP2017
Besov-weak-Herz spaces and global solutions for Navier-Stokes equations
Lucas C. F. Ferreira, Jhean E. Pérez-López
We consider the incompressible Navier-stokes equations (NS) in for . Global well-posedness is proved in critical Besov-weak-Herz spaces (BWH-spaces) that c…