4 papers
Global mild solutions for a transport-diffusion equation with a rough drift
Diego Chamorro, Anca-Nicoleta Marcoci, Liviu-Gabriel Marcoci
We construct here global mild solutions in a critical setting for a class of transport-diffusion equations with a drift term that involves rough Calder{ó}n-Zygmund operators.
Pointwise estimates for rough operators in a metric measure framework under some Ahlfors regularity conditions
Diego Chamorro, Anca-Nicoleta Marcoci, Liviu-Gabriel Marcoci
We establish a new pointwise estimate for a class of rough operators in the setting of metric measure spaces endowed with a measure which is Ahlfors regular. This pointwise inequal…
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…
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…