1 citations · 1 across the 6 of their papers we have counts for
8 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…
Some Grönwall inequalities for a class of discretizations of time fractional equations on nonuniform meshes
Yuanyuan Feng, Lei Li, Jian-Guo Liu +1
We consider the completely positive discretizations of fractional ordinary differential equations (FODEs) on nonuniform meshes. Making use of the resolvents for nonuniform meshes,…
Large deviation principle and thermodynamic limit of chemical master equation via nonlinear semigroup
Yuan Gao, Jian-Guo Liu
Chemical reactions can be modeled by a random time-changed Poisson process on countable states. The macroscopic behaviors, such as large fluctuations, can be studied via the WKB re…