8 citations · 11 across the 6 of their papers we have counts for
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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…
On semi-classical limit of spatially homogeneous quantum Boltzmann equation: weak convergence
Ling-Bing He, Xuguang Lu, Mario Pulvirenti
It is expected in physics that the homogeneous quantum Boltzmann equation with Fermi-Dirac or Bose-Einstein statistics and with Maxwell-Boltzmann operator (neglecting effect of the…
Stability of large solutions for full compressible Navier-Stokes equations in the whole spaces
Lingbing He, Jingchi Huang, Chao Wang
The current paper is devoted to the investigation of the global-in-time stability of large solutions for the full Navier-Stokes-Fourier system in the whole space. Suppose that the…
Global stability of large solutions to the 3D compressible Navier-Stokes equations
Lingbing He, Jingchi Huang, Chao Wang
The present paper aims at the investigation of the global stability of large solutions to the compressible Navier-Stokes equations in the whole space. Our main results and innovati…
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_…