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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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Showing 2021Show all

3 papers · 1 filter

math.AP2021

The derivation of the compressible Euler equation from quantum many-body dynamics

Xuwen Chen, Shunlin Shen, Jiahao Wu +1

We study the three dimensional many-particle quantum dynamics in mean-field setting. We forge together the hierarchy method and the modulated energy method. We prove rigorously tha…

math.AP2021★ 9 cited

The unconditional uniqueness for the energy-supercritical NLS

Xuwen Chen, Shunlin Shen, Zhifei Zhang

We consider the cubic and quintic nonlinear Schrödinger equations (NLS) under the and energy-supercritical setting. Via a newly developed unified…

math.AP2021★ 10 cited

Quantitative Derivation and Scattering of the 3D Cubic NLS in the Energy Space

Xuwen Chen, Justin Holmer

We consider the derivation of the defocusing cubic nonlinear Schrödinger equation (NLS) on from quantum -body dynamics. We reformat the hierarchy approach with…