Xuwen Chen

activity

20092026

most citedFocusing Quantum Many-body Dynamics: The Rigorous Derivation of the 1D Focusing Cubic Nonlinear Schrödinger Equation

68 citations · 577 across the 31 of their papers we have counts for

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2 papers · 1 filter

math-ph2025

The second order Huang-Yang approximation to the Fermi thermodynamic pressure

Xuwen Chen, Jiahao Wu, Zhifei Zhang

We consider a dilute Fermi gas in the thermodynamic limit with interaction potential scattering length $a_{0}$ at temperature $T > 0$ . We prove the 2nd order Huang-Yang appr…

math.AP2025

$l^{2}$ -decoupling and the unconditional uniqueness for the Boltzmann equation

Xuwen Chen, Shunlin Shen, Zhifei Zhang

We broaden the application of the $l^{2}$ -decoupling theorem to the Boltzmann equation. We prove Strichartz estimates for the linear problem in the $T^{d}$ setting. We estab…

The second order Huang-Yang approximation to the Fermi thermodynamic pressure

l2-decoupling and the unconditional uniqueness for the Boltzmann equation

$l^{2}$ -decoupling and the unconditional uniqueness for the Boltzmann equation