6 papers
Equilibria and linear stability for the Boltzmann equation with radial anharmonic confining potentials
Ling-bing He, Jie Ji, Wu-wei Li
We study the Boltzmann equation in the whole space under the radial anharmonic confining potentials for and for . We first…
Existence, uniqueness and smoothing estimates for spatially homogeneous Landau-Coulomb equation in $H^{-\f12}$ space with polynomial tail
Ling-Bing He, Jie Ji, Yue Luo
We demonstrate that the spatially homogeneous Landau-Coulomb equation exhibits global existence and uniqueness around the space . Additional…
Runaway avalanches in plasmas with external electric fields: spatially inhomogeneous case in a perturbation framework
Ling-Bing He, Richard M. Höfer, Jie Ji +1
We consider the Landau-Coulomb equation for a (hydrogen) plasma heated by an external electric field. In this setting, theoretical and experimental results in plasma physics show t…
On some divergence-form singular elliptic equations with codimension-two boundary: -estimates
Jie Ji, Jingang Xiong
We establish a global weighted estimate for the gradient of the solution to a divergence-form elliptic equations, where the coefficients are in a weighted VMO space and the e…
Heat Flows with Prescribed Singularities from 3-dimensional Manifold
Jie Ji, Jingru Niu
In this paper, we study singular heat flows from a 3-dimensional complete bounded Riemannian manifold without boundary into the hyperbolic space with prescribe singularity along a…
On the Boltzmann equation with soft potentials: Existence, uniqueness and smoothing effect of mild solutions
Ling-Bing He, Jie Ji, Wei-Xi Li
We consider the spatially inhomogeneous Boltzmann equation without angular cutoff for soft potentials. For any given initial datum such that the mass, energy and entropy densities…