1 citations · 1 across the 9 of their papers we have counts for
10 papers
Uniqueness for the spatially homogeneous Boltzmann equation in critical Sobolev spaces
Tianhao Dong, Shuchen Guo, Jie Ji
We study the spatially homogeneous Boltzmann equation without angular cutoff for very soft potentials satisfying the inverse power law relation . Our main results establish…
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 c…
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…
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…
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…
On Landau equation with harmonic potential: nonlinear stability of time-periodic Maxwell-Boltzmann distributions
Chuqi Cao, Ling-Bing He, Jie Ji
We provide the first and rigorous confirmations of the hypotheses by Ludwig Boltzmann in his seminal paper \cite{Boltzmann} within the context of the Landau equation in the presenc…
Regularity estimates for the non-cutoff soft potential Boltzmann equation with typical rough and slowly decaying data
Ling-Bing He, Jie Ji
In the present work, we investigate estimates of regularity for weak solutions to the non-cutoff Boltzmann equation with soft potentials. We restrict our focus to the so-called "ty…
Propagation of moments and sharp convergence rate for inhomogeneous non-cutoff Boltzmann equation with soft potentials
Chuqi Cao, Ling-Bing He, Jie Ji
We prove the well-posedness for the non-cutoff Boltzmann equation with soft potentials when the initial datum is close to the {\it global Maxwellian} and has only polynomial decay…