In Uniform Magnetic Field, Communication of (with Yan-Ping Xiao, Mei-Mei Lai, Ji-Xuan Hou,Īnd Quan -Hui Liu) A Secondary Operator Ordering Problem for a Charged Rigid Planar Rotator Smoothing Estimates for the Schrödinger Equation with Quadratic Potential inġ. Smoothing Estimates of Schrödinger-Like Dispersive Equations, Contemporary Interactions, Archive for Rational Mechanics and Analysis 203 (2012), no. Mean Field Evolution for Weakly Interacting Bosons in the Case of Three-body Rigorous Derivation of the 2d Cubic Nonlinear Schrödinger Equation withĪnisotropic Switchable Quadratic Traps, Journal de Mathématiques Pures et Appliquées 98 (2012), no. Of the 3D Cubic Nonlinear Schrödinger Equation with A Quadratic Trap, Archive Many-Body Dynamics, Archive for Rational Mechanics and Analysis 210 3, 879-910.ĭerivation of the 2D Cubic Nonlinear Schrödinger Equation from 3D Quantum Strauss ) Approach to Equilibrium of a Body Colliding Specularly and Diffusely with a Sea of Particles, Archiveįor Rational Mechanics and Analysis 211 (2014), no. Unconditional Uniqueness of Solutions to the Infinite Radial Chern-Simons-Schrödinger Hierarchy, Analysis & PDE 7 (2014), no. Ĭriterion of a Body Immersed in a Sea of Particles, Communications in Mathematical Physics 338 (2015), no. Ĭoupling Limit of Quantum Many-body Dynamics and theģ, 443-465. Journal on Mathematical Analysis 47 (2015), no. Nonlinear Schrödinger Equation, Archive for Rational Many-body Dynamics: The Rigorous Derivation of the 1D Focusing Cubic Of the European Mathematical Society 18 (2016), no. Justin Holmer) On the Klainerman-Machedon Conjecture of the Quantum BBGKY
Many-body Scattering Processes and the Derivation of the Gross- Pitaevskii Hierarchy, International Mathematics Research Notices 2016, no. Nonlinear Schrödinger Equation from 3D, Analysis & PDE 10 (2017), no. Many-body Dynamics II: The Rigorous Derivation of the 1D Focusing Cubic ĭerivation of the 2D Cubic Focusing NLS from Quantum Many-body Evolution, International Mathematics Research Notices, 2017, no. The Energy-critical NLS from Quantum Many-body Dynamics, Inventiones Mathematicae 217 Uniqueness for the Energy-critical Nonlinear Schrödinger Equation on T^4, Forum of Mathematics, Pi 10 (2022), Article e3 1-49.
Justin Holmer) Quantitative Derivation and Scattering of the 3DĬubic NLS in the Energy Space, Annals of PDE 8 (2022), Article 11, 1-39.
Zhang) The unconditional uniqueness for the energy-supercritical NLS, Annals of PDE 8 (2022), Article in Mathematics from University of Maryland –īifurcation for the Boltzmann equation with constant collision kernel, arXiv : 2206.11931, 31pp.Ĭompressible Euler equation from quantum many-body dynamics, arXiv : 2112.14897, 48pp. Prior to coming to Rochester, I served as a Tamarkin Assistant Professor at Brown University.
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