3 papers
math.AP2026
A short note on maximal regularity for the heat kernel in Besov spaces and a degenerate 3D Keller-Segel system
Pierre Gilles Lemarié-Rieusset
We prove global existence for a degenerate Keller-Segel equation with small initial values in a critical Lorentz space.
math.AP2025
Calder{ó}n splitting and weak solutions for Navier-Stokes equations with initial data in weighted L p spaces
Pierre Gilles Lemarié-Rieusset
We show the existence of global weak solutions of the 3D Navier-Stokes equations with initial velocity in the weighted spaces , using Calder{ó}n splitting L p L 2…
math.AP2024
Highly singular (frequentially sparse) steady solutions for the 2D Navier-Stokes equations on the torus
Pierre Gilles Lemarié-Rieusset
We construct non-trivial steady solutions in for the 2D Navier-Stokes equations on the torus. In particular, the solutions are not square integrable, so that we have to re…