5 papers
Besov mixed-Morrey spaces: On an Application to the Navier-Stokes Equations
Leithold L. Aurazo-Alvarez, Wladimir Neves
In this paper we introduce two new classes of functional spaces, namely, Besov mixed-Morrey spaces and Fourier-Besov mixed-Morrey spaces, and then we establish some basic propertie…
Global well-posedness for the Navier-Stokes system in new critical mixed-norm Besov spaces
Leithold L. Aurazo-Alvarez, Wladimir Neves
In this work, we proved the existence of a unique global mild solution of the d-dimensional incompressible Navier-Stokes equations, for small initial data in Besov type spaces base…
Stationary solutions for the fractional Navier-Stokes-Coriolis system in Fourier-Besov spaces
Leithold L. Aurazo-Alvarez
In this work we prove the existence of stationary solutions for the tridimensional fractional Navier-Stokes- Coriolis in critical Fourier-Besov spaces. We first deal with the non-s…
Global well-posedness for a rescaled Boussinesq system in critical Fourier-Besov spaces
Leithold L. Aurazo-Alvarez
In this work we prove a global well-posedness result for a tridimensional rescaled Boussinesq system, with positive full viscosity and diffusivity parameters in the framework of cr…
Global well-posedness for the fractional Boussinesq-Coriolis system with stratification in a framework of Fourier-Besov type
Leithold L. Aurazo-Alvarez, Lucas C. F. Ferreira
We establish the global well-posedness of the 3D fractional Boussinesq-Coriolis system with stratification in a framework of Fourier type, namely spaces of Fourier-Besov type with…