193 citations · 748 across the 35 of their papers we have counts for
4 papers · 2 filters
The Global Solvability Of The Hall-magnetohydrodynamics System In Critical Sobolev Spaces
Raphaël Danchin, Jin Tan
We are concerned with the 3D incompressible Hall-magnetohydro-dynamic system (Hall-MHD). Our first aim is to provide the reader with an elementary proof of a global well-posedness…
On the well-posedness of the Hall-magnetohydrodynamics system in critical spaces
Raphaël Danchin, Jin Tan
We investigate the existence and uniqueness issues of the 3D incompressible Hall-magnetohydrodynamic system supplemented with initial velocity and magnetic field in cri…
The global existence issue for the compressible Euler system with Poisson or Helmholtz couplings
Šárka Nečasová, Xavier Blanc, Raphaël Danchin +2
We consider the Cauchy problem for the barotropic Euler system coupled to Helmholtz or Poisson equations, in the whole space. We assume that the initial density is small enough, an…
Compressible Navier-Stokes equations with ripped density
Raphaël Danchin, Piotr Boguslaw Mucha
Here we prove the all-time propagation of the Sobolev regularity for the velocity field solution of the two-dimensional compressible Navier-Stokes equations, provided the volume (b…