2 papers
math-ph2025
Quantitative Derivation of the Two-Component Gross--Pitaevskii Equation in the Hard-Core Limit with Uniform-in-Time Convergence Rate
Jacky Chong, Jinyeop Lee, Zhiwei Sun
We derive the time-dependent two-component Gross--Pitaevskii (GP) equation as an effective description of the dynamics of a dilute two-component Bose gas near its ground state, whi…
math-ph2025
Derivation of Vlasov equations for multi-species fermions
Hongshuo Chen, Li Chen, Jinyeop Lee +1
We explore a system of two-species fermions with particles. Through this exploration, we establish a two-species Husimi measure and construct a two-species Bogoliubov-Born-Gree…