On Well-Posedness of Quantum Fluid Systems in the Class of Dissipative Solutions
DOI10.1137/22m148985xzbMath1529.35326arXiv2203.11833OpenAlexW4381512300MaRDI QIDQ6172773
Publication date: 20 July 2023
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2203.11833
Navier-Stokes equations (35Q30) Statistical mechanics of semiconductors (82D37) Statistical mechanics of superfluids (82D50) Many-body theory; quantum Hall effect (81V70) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Quantum measurement theory, state operations, state preparations (81P15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Weak solutions to PDEs (35D30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Quantum coherence, entanglement, quantum correlations (81P40) Euler equations (35Q31) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Alternative quantum mechanics (including hidden variables, etc.) (81Q65) Systems of linear higher-order PDEs (35G35)
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