41 citations · 89 across the 12 of their papers we have counts for
13 papers
The estimate for the gain term of the Boltzmann collision operator and its application
Ling-Bing He, Jin-Cheng Jiang, Hung-Wen Kuo +1
We prove the Hardy-Littlewood-Sobolev type estimates for the gain term of the Boltzmann collision operator including Maxwellian molecule, hard potential and hard sphere model…
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…
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…
Sharp regularizing estimates for the gain term of the Boltzmann collision operator
Jin-Cheng Jiang
We prove the sharp regularizing estimates for the gain term of the Boltzmann collision operator including hard sphere, hard potential and Maxwell molecule models. Our new estimates…
On the global dynamics of the inhomogeneous Boltzmann equations without angular cutoff: Hard potentials and Maxwellian molecules
Ling-Bing He, Jin-Cheng Jiang
This is the first one of two papers on the global dynamics of the original Boltzmann equations without angular cutoff on the torus. We address the problem for the hard potentials a…
Well-posedness and scattering for the Boltzmann equations: Soft potential with cut-off
Lingbing He, Jin-Cheng Jiang
We prove the global existence of the unique mild solution for the Cauchy problem of the cut-off Boltzmann equation for soft potential model with initial data small in $L^N_…