The derivation of the compressible Euler equation from quantum many-body dynamics
DOI10.1007/s42543-023-00066-4arXiv2112.14897OpenAlexW4366276216MaRDI QIDQ6122842
Shunlin Shen, Jia Hao Wu, Zhifei Zhang, Xuwen Chen
Publication date: 1 March 2024
Published in: Peking Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2112.14897
BBGKY hierarchymodulated energycompressible Euler equationquantum many-body dynamicsKlainerman-Machedon bounds
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Many-body theory; quantum Hall effect (81V70) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Blow-up in context of PDEs (35B44) Euler equations (35Q31) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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