6 papers
Bose--Einstein Condensation without an Initial Low-Energy Concentration Assumption
Siwei Luo, Jian-Guo Liu
We prove that semi-strong convergence to a Bose--Einstein equilibrium below the critical temperature implies finite-time Bose--Einstein condensation (BEC) for conservative isotropi…
Entropy-Stable and Physical-Constraint-Preserving DGSEM for Symmetry-Reduced General-Relativistic Hydrodynamics on Stationary Spacetimes
Guosheng Fu, Jian-Guo Liu
We develop an entropy-stable and physical-constraint-preserving discontinuous Galerkin spectral element method for symmetry-reduced general-relativistic hydrodynamics on prescribed…
No Gelation and Global Existence for a Boltzmann Equation with Regularly Varying Mass-Exchange Rates
Siwei Luo, Jian-Guo Liu
We develop a no-gelation mechanism that yields global solutions to the spatially homogeneous Boltzmann equation with mass exchange for Grad-cutoff hard potentials $B=E^γb(ξ), 0<γ<1…
On the Spatially Homogeneous Boltzmann Equation with Mass Exchange
Siwei Luo, Jian-Guo Liu
We study the spatially homogeneous Boltzmann equation with continuous mass exchange on , with a Grad cut-off hard-potential collision kernel. For…
Energetic variational formulation for electrohydrodynamics of surfactant-laden droplets
Hangjie Ji, Jian-Guo Liu
The coupling between surfactant-laden droplet dynamics and electric fields plays an important role in liquid-handling technologies such as digital microfluidics. We develop an ener…
On the discrete Poincaré inequality for B-schemes of 1D Fokker-Planck equations in full space
Lei Li, Jian-Guo Liu, Zhen Wang
In this paper, we propose two approaches to derive the discrete Poincaré inequality for the B-schemes, a family of finite volume discretization schemes, for the one-dimensional Fok…