The derivation of the compressible Euler equation from quantum many-body dynamics (Q6122842)

scientific article; zbMATH DE number 7812093

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English	The derivation of the compressible Euler equation from quantum many-body dynamics	scientific article; zbMATH DE number 7812093

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instance of

scholarly article

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title

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

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Peking Mathematical Journal

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publication date

1 March 2024

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full work available at URL

https://arxiv.org/abs/2112.14897

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zbMATH Keywords

compressible Euler equation

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BBGKY hierarchy

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quantum many-body dynamics

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Klainerman-Machedon bounds

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modulated energy

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MaRDI profile type

MaRDI publication profile

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cites work

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Q5445712

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The mathematical theory of dilute gases

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Unconditional Uniqueness for the Cubic Gross-Pitaevskii Hierarchy via Quantum de Finetti

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Collapsing estimates and the rigorous derivation of the 2d cubic nonlinear Schrödinger equation with anisotropic switchable quadratic traps

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Correlation Structures, Many-Body Scattering Processes, and the Derivation of the Gross–Pitaevskii Hierarchy

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The derivation of the \(\mathbb{T}^{3}\) energy-critical NLS from quantum many-body dynamics

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Quantitative derivation and scattering of the 3D cubic NLS in the energy space

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Unconditional uniqueness for the energy-critical nonlinear Schrödinger equation on

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The unconditional uniqueness for the energy-supercritical NLS

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On the unconditional uniqueness of solutions to the infinite radial Chern-Simons-Schrödinger hierarchy

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Gross-Pitaevskii equation as the mean field limit of weakly coupled bosons

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Derivation of the Gross-Pitaevskii hierarchy for the dynamics of Bose-Einstein condensate

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Derivation of the cubic nonlinear Schrödinger equation from quantum dynamics of many-body systems

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Rigorous derivation of the Gross-Pitaevskii equation with a large interaction potential

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Derivation of the Gross-Pitaevskii equation for the dynamics of Bose-Einstein condensate

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From Newton to Boltzmann: hard spheres and short-range potentials

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Mean‐Field and Classical Limit for the <i>N</i>‐Body Quantum Dynamics with Coulomb Interaction

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Semiclassical limit of the nonlinear Schrödinger equation in small time

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On the uniqueness of solutions to the periodic 3D Gross-Pitaevskii hierarchy

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Pair excitations and the mean field approximation of interacting Bosons, II

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The semiclassical limit of the defocusing NLS hierarchy

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Derivation of Hartree's theory for generic mean-field Bose systems

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Semiclassical limit of the Gross-Pitaevskii equation in an exterior domain

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Compressible fluid flow and systems of conservation laws in several space variables

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Q4549219

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Identifiers

arXiv ID

2112.14897

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Mathematics Subject Classification ID

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10.1007/S42543-023-00066-4

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Sitelinks

Mathematics(1 entry)

mardi Publication:6122842