193 citations · 748 across the 35 of their papers we have counts for
3 papers · 1 filter
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…
Gevrey analyticity and decay for the compressible Navier-Stokes system with capillarity
Frédéric Charve, Raphaël Danchin, Jiang Xu
We are concerned with an isothermal model of viscous and capillary compressible fluids derived by J. E. Dunn and J. Serrin (1985), which can be used as a phase transition model. Co…
A well-posedness result for viscous compressible fluids with only bounded density
Raphaël Danchin, Francesco Fanelli, Marius Paicu
We are concerned with the existence and uniqueness of solutions with only bounded density for the barotropic compressible Navier-Stokes equations. Assuming that the initial velocit…