97 citations · 327 across the 42 of their papers we have counts for
3 papers · 2 filters
Singular Cucker-Smale Dynamics
Piotr Minakowski, Piotr B. Mucha, Jan Peszek +1
The existing state of the art for singular models of flocking is overviewed, starting from microscopic model of Cucker and Smale with singular communication weight, through its mes…
Regular solutions to the fractional Euler alignment system in the Besov spaces framework
Raphaël Danchin, Piotr B. Mucha, Jan Peszek +1
We here construct (large) local and small global-in-time regular unique solutions to the fractional Euler alignment system in the whole space , in the case where the…
Between homogeneous and inhomogeneous Navier-Stokes systems: the issue of stability
Piotr B. Mucha, Liutang Xue, Xiaoxin Zheng
We construct large velocity vector solutions to the three dimensional inhomogeneous Navier-Stokes system. The result is proved via the stability of two dimensional solutions with c…