Xuwen Chen

Available identifiers

List of research outcomes

Publication	Date of Publication	Type
The derivation of the compressible Euler equation from quantum many-body dynamics	2024-03-01	Paper
The Derivation of the Boltzmann Equation from Quantum Many-body Dynamics	2023-12-13	Paper
Sharp Global Well-posedness and Scattering of the Boltzmann Equation	2023-11-03	Paper
Well/Ill-posedness of the Boltzmann Equation with Soft Potential	2023-10-08	Paper
On the mean-field and semiclassical limit from quantum $N$-body dynamics	2023-04-06	Paper
Quantitative derivation and scattering of the 3D cubic NLS in the energy space	2022-08-03	Paper
Well/ill-posedness bifurcation for the Boltzmann equation with constant collision kernel	2022-06-23	Paper
Unconditional uniqueness for the energy-critical nonlinear Schrödinger equation on	2022-01-17	Paper
The derivation of the $\mathbb{T}^{3}$ energy-critical NLS from quantum many-body dynamics	2019-08-01	Paper
The Rigorous Derivation of the 2D Cubic Focusing NLS from Quantum Many-Body Evolution	2019-01-22	Paper
Correlation Structures, Many-Body Scattering Processes, and the Derivation of the Gross–Pitaevskii Hierarchy	2018-12-12	Paper
Focusing quantum many-body dynamics. II: The rigorous derivation of the 1D focusing cubic nonlinear Schrödinger equation from 3D	2017-05-02	Paper
Focusing quantum many-body dynamics: the rigorous derivation of the 1D focusing cubic nonlinear Schrödinger equation	2016-06-10	Paper
On the Klainerman-Machedon conjecture for the quantum BBGKY hierarchy with self-interaction	2016-06-09	Paper
Convergence to Equilibrium of a Body Moving in a Kinetic Sea	2015-12-04	Paper
Elementary Proofs for Kato Smoothing Estimates of Schrödinger-like Dispersive Equations	2015-07-29	Paper
Velocity reversal criterion of a body immersed in a sea of particles	2015-07-13	Paper
On the unconditional uniqueness of solutions to the infinite radial Chern-Simons-Schrödinger hierarchy	2015-01-28	Paper
On the rigorous derivation of the 3D cubic nonlinear Schrödinger equation with a quadratic trap	2014-08-01	Paper
Approach to equilibrium of a body colliding specularly and diffusely with a sea of particles	2014-06-12	Paper
On the rigorous derivation of the 2D cubic nonlinear Schrödinger equation from 3D quantum many-body dynamics	2014-02-24	Paper
Second-order corrections to mean field evolution for weakly interacting bosons in the case of three-body interactions	2012-11-05	Paper
Collapsing estimates and the rigorous derivation of the 2d cubic nonlinear Schrödinger equation with anisotropic switchable quadratic traps	2012-10-16	Paper
Classical proofs of Kato type smoothing estimates for the Schrödinger equation with quadratic potential in $\mathbb R^{n+1}$ with application.	2011-09-01	Paper
The Grillakis-Machedon-Margetis Second order corrections to mean field evolution for weakly interacting Bosons in the case of 3-body interactions	2009-11-20	Paper
The Second Order 2D Behaviors of a 3D Bose Gases in the Gross-Pitaevskii Regime	0001-01-03	Paper

Research outcomes over time

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