2 citations · 2 across the 4 of their papers we have counts for
5 papers · 1 filter
On blow-up for the cut-off Boltzmann equation with very hard potentials
Ning Jiang, Feng Shao, Dongyi Wei +2
We construct smooth, strictly positive solutions of the three-dimensional cut-off Boltzmann equation with very hard potentials whose densities become unbounded in finite time. A ma…
The Incompressible Navier-Stokes-Fourier Limits from Boltzmann-Fermi-Dirac Equation for Low Regularity Data
Ning Jiang, Chenchen Wang, Kai Zhou
We consider the hydrodynamic limits of the quantum Boltzmann equation with Fermi-Dirac statistics for hard sphere and hard potentials in the whole space. By analyzing the spectrum…
A Generalized Beale-Kato-Majda Breakdown Criterion for the free-boundary problem in Euler Equations with Surface Tension
Chenyun Luo, Kai Zhou
It is shown in Ferrari \cite{Ferrari-1993CMP} that if is the maximal time interval of existence of a smooth solution of the incompressible Euler equations in a bounded,…
The Compressible Euler and Acoustic Limits from quantum Boltzmann Equation with Fermi-Dirac Statistics
Ning Jiang, Kai Zhou
This paper justifies the compressible Euler and acoustic limits from quantum Boltzmann equation with Fermi-Dirac statistics (briefly, BFD) rigorously. This limit was formally deriv…
The Incompressible Navier-Stokes-Fourier Limit from Boltzmann-Fermi-Dirac Equation
Ning Jiang, Linjie Xiong, Kai Zhou
We study Boltzmann-Fermi-Dirac equation when quantum effects are taken into account in dilute gas dynamics. By employing new estimates on trilinear terms of collision kernels, we p…