most citedMultidimensional Stable driven McKean-Vlasov SDEs with distributional interaction kernel -- a regularization by noise perspective

2 citations

5 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.AP2026

Weak Error on the densities for the Euler scheme of stable additive SDEs with Besov drift

Mathis Fitoussi, Elena Issoglio, Stéphane Menozzi

We are interested in the Euler-Maruyama dicretization of the formal SDE, , where is a symmetric isotropic d dimensional stable process of index $α\in (1,…

math.AP20262 cited

Multidimensional Stable driven McKean-Vlasov SDEs with distributional interaction kernel -- a regularization by noise perspective

P. -E Chaudru de Raynal, J. -F Jabir, S Menozzi

We are interested in establishing weak and strong well-posedness for McKean-Vlasov SDEs with additive stable noise and a convolution type non-linear drift with singular interaction…

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…