23 citations · 79 across the 16 of their papers we have counts for
20 papers
Quantitative global well-posedness of Boltzmann-Bose-Einstein equation and incompressible Navier-Stokes-Fourier limit
Ling-Bing He, Ning Jiang, Yu-long Zhou
In the diffusive scaling and in the whole space, we prove the global well-posedness of the scaled Boltzmann-Bose-Einstein (briefly, BBE) equation with high temperature in the low r…
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…
On the Cauchy problem for the cutoff Boltzmann equation with small initial data
Ling-Bing He, Jin-Cheng Jiang
We prove the global existence of the non-negative unique mild solution for the Cauchy problem of the cutoff Boltzmann equation for soft potential model with the small…
Uniqueness and global dynamics of spatially homogeneous non cutoff Boltzmann equation with moderate soft potentials
Ling-Bing He, Jie Ji
Departing from the weak solution, we prove the uniqueness, smoothing estimates and the global dynamics for the non cutoff spatially homogeneous Boltzmann equation with moderate sof…
A new monotonicity formula for the spatially homogeneous Landau equation with Coulomb potential and its applications
Laurent Desvillettes, Ling-Bing He, Jin-Cheng Jiang
We describe a time-dependent functional involving the relative entropy and the seminorm, which decreases along solutions to the spatially homogeneous Landau equation wi…