2 citations · 2 across the 3 of their papers we have counts for
7 papers
Regularity theory for the dissipative solutions of the MHD equations
Diego Chamorro, Jiao He
We study here a new generalization of Caffarelli, Kohn and Nirenberg's partial regularity theory for weak solutions of the MHD equations. Indeed, in this framework some hypotheses…
On the partial regularity theory for the MHD equations
Diego Chamorro, Jiao He
We generalize here the celebrated Partial Regularity Theory of Caffarelli, Kohn and Nirenberg to the MHD equations in the framework of parabolic Morrey spaces. This type of parabol…
On the local regularity theory for the MHD equations
D. Chamorro, F. Cortez, Jiao He +1
Local regularity results are obtained for the MHD equations using as global framework the setting of parabolic Morrey spaces. Indeed, by assuming some local boundedness assumptions…
On the dynamics of 3D electrified falling films
Jiao He, Rafael Granero-Belinchón
In this article, we consider a non-local variant of the Kuramoto-Sivashinsky equation in three dimensions (2D interface). Besides showing the global wellposedness of this equation…
On the small rigid body limit in 3D incompressible flows
Jiao He, Dragos Iftimie
We consider the evolution of a small rigid body in an incompressible viscous fluid filling the whole space. The motion of the fluid is modelled by the Navier-Stokes equations, wher…
A small solid body with large density in a planar fluid is negligible
Jiao He, Dragos Iftimie
In this article, we consider a small rigid body moving in a viscous fluid filling the whole plane. We assume that the diameter of the rigid body goes to 0, that the initial velocit…