3 papers
math.NA2026
A Structure-Preserving Effective Linear Approximation of the Quantum Boltzmann Collision Operator
Shuang Hu, Bo Lin, Zhenning Cai
We construct a structure-preserving effective linear approximation of the quantum Boltzmann collision operator for Bose and Fermi gases in the normal phase. For variable hard-spher…
math.AP2026
Global well-posedness of the linearized R13 moment equations with Onsager boundary conditions
Shuang Hu, Bo Lin, Huini Liu +1
This paper establishes the global well-posedness of the linearized regularized 13-moment (R13) equations for rarefied gas flows. We first derive an entropy inequality for the syste…
math.AP2024
Time-dependent Regularized 13-Moment Equations with Onsager Boundary Conditions in the Linear Regime
Bo Lin, Haoxuan Wang, Siyao Yang +1
We develop the time-dependent regularized 13-moment equations for general elastic collision models under the linear regime. Detailed derivation shows the proposed equations have su…