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5 papers · 2 filters
On an almost sharp Liouville type theorem for fractional Navier-Stokes equations
Diego Chamorro, Bruno Poggi
We investigate existence, Liouville type theorems and regularity results for the 3D stationary and incompressible fractional Navier-Stokes equations: in this setting the usual Lapl…
Non Linear Singular Drifts and Fractional Operators
Diego Chamorro, Stéphane Menozzi
We consider parabolic PDEs associated with fractional type operators drifted by non-linear singular first order terms. When the drift enjoys some boundedness properties in appropri…
A crypto-regularity result for the micropolar fluids equations
Diego Chamorro, David Llerena
In the analysis of PDEs, regularity of often measured in terms of Sobolev, H{ö}lder, Besov or Lipschitz spaces, etc. However, sometimes a gain of regularity can also be expressed j…
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…
Some existence and regularity results for a non-local transport-diffusion equation with fractional derivatives in time and space
Diego Chamorro, Miguel Yangari
We study the existence of global weak solutions of a nonlinear transport-diffusion equation with a fractional derivative in the time variable and under some extra hypotheses, we al…