most citedQuantitative Derivation of the Two-Component Gross--Pitaevskii Equation in the Hard-Core Limit with Uniform-in-Time Convergence Rate

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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.AP2024

Derivation of the compressible Euler equations from the dynamics of interacting Bose gas in the hard-core limit regime

Jacky Chong, Shunlin Shen, Zhifei Zhang

We investigate the dynamics of short-range interacting Bose gases with varying degrees of diluteness and interaction strength. By applying a combined mean-field and semiclassical s…