193 citations · 748 across the 35 of their papers we have counts for
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Optimal decay estimates in the critical framework for flows of compressible viscous and heat-conductive gases
Raphaël Danchin, Jiang Xu
The global existence issue in critical regularity spaces for the full Navier-Stokes equationssatisfied by compressible viscous and heat-conductive gases has been first addressed in…
Optimal time-decay estimates for the compressible navier-stokes equations in the critical l p framework
Raphaël Danchin, Jiang Xu
The global existence issue for the isentropic compressible Navier-Stokes equations in the critical regularity framework has been addressed in [7] more than fifteen years ago. Howev…
Global persistence of geometrical structures for the boussinesq equation with no diffusion
Raphaël Danchin, Xin Zhang
Here we investigate the so-called temperature patch problem for the incompressible Boussinesq system with partial viscosity, in the whole space , where t…
Compressible Navier-Stokes system : large solutions and incompressible limit
Raphaël Danchin, Piotr B. Mucha
Here we prove the existence of global in time regular solutions to the two-dimensional compressible Navier-Stokes equations supplemented with arbitrary large initial velocity $v\_0…