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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…
math.AP2024
Global derivation of the 1D Vlasov-Poisson equation from quantum many-body dynamics with screened Coulomb potential
Xuwen Chen, Shunlin Shen, Ping Zhang +1
We study the 1D quantum many-body dynamics with a screened Coulomb potential in the mean-field setting. Combining the quantum mean-field, semiclassical, and Debye length limits, we…