13 citations · 25 across the 10 of their papers we have counts for
10 papers
An Explicit Formula for the Benjamin-Ono Hierarchy with Applications to Traveling Waves and Zero-Dispersion Limits
Patrick Gérard, Jiao He
In this paper, we first extend the explicit formula \cite{gerard2023explicit} for the classical Benjamin-Ono equation to each flow of the Benjamin-Ono hierarchy on line. We then us…
The vanishing limit of a rigid body in three-dimensional viscous incompressible fluid
Jiao He, Pei Su
We consider the evolution of a small rigid body in an incompressible viscous fluid filling the whole space $\rline^3$. When the small rigid body shrinks to a "massless" point in th…
Quantitative bounds for critically bounded solutions to the three-dimensional Navier-Stokes equations in Lorentz spaces
Wen Feng, Jiao He, Weinan Wang
In this paper, we prove a quantitative regularity theorem and a blow-up criterion of classical solutions for the three-dimensional Navier-Stokes equations. By adapting the strategy…
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…
Uniqueness theorems for the Boussinesq system
Lorenzo Brandolese, Jiao He
We address the uniqueness problem for mild solutions of the Boussinesq system in R 3. We provide several uniqueness classes on the velocity and the temperature, generalizing in thi…