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math.AP2026

Some results for a stationary Navier-Stokes equation with a rough drift in a weighted functional framework

Diego Chamorro, Anca-Nicoleta Marcoci, Liviu-Gabriel Marcoci

In this article, we study some classes of solutions for a stationary Navier-Stokes equation where we consider a rough drift given by a singular integral operator which does not bel…

math.AP2026

Global Mild solutions for the fractional Navier-Stokes-Boussinesq equations in critical Fourier-Herz-Lorentz spaces

Diego Chamorro, Maxence Mansais

We construct here global in time mild solutions to the forced fractional Navier-Stokes-Boussinesq system in some critical Fourier-Herz spaces which will be based on Lorentz norms i…

math.AP2025

Global mild solutions in a critical setting for a forced fractional Boussinesq system

Diego Chamorro, Maxence Mansais

We study here mild solutions for the forced, incompressible fractional Boussinesq system. Under suitable estimates for the terms involved (in an adapted functional framework) we ca…

math.AP2025

Some general external forces and critical mild solutions for the fractional Navier-Stokes equations

Diego Chamorro, Maxence Mansais

In this article we study mild solutions for the forced, incompressible fractional Navier-Stokes equations. These solutions are classically obtained via a fixed-point argument which…

math.AP2023

Liouville type theorems for stationary Navier-Stokes equations with Lebesgue spaces of variable exponent

Diego Chamorro, Gastón Vergara-Hermosilla

In this article we study some Liouville-type theorems for the stationary 3D Navier-Stokes equations. These results are related to the uniqueness of weak solutions for this system u…

math.AP2023

Lebesgue spaces with variable exponent: some applications to the Navier-Stokes equations

Diego Chamorro, Gastón Vergara-Hermosilla

In this article we study some problems related to the incompressible 3D Navier-Stokes equations from the point of view of Lebesgue spaces of variable exponent. These functional spa…