Genuine hydrodynamic analysis to the 1-D QHD system: existence, dispersion and stability
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Publication:2021637
DOI10.1007/s00220-021-03998-zzbMath1467.35253arXiv1910.08104OpenAlexW3131544143WikidataQ114852504 ScholiaQ114852504MaRDI QIDQ2021637
Hao Zheng, Paolo Antonelli, Pierangelo Marcati
Publication date: 27 April 2021
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.08104
PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) A priori estimates in context of PDEs (35B45) Statistical mechanics of superfluids (82D50) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Weak solutions to PDEs (35D30) Time-dependent Schrödinger equations and Dirac equations (35Q41)
Related Items (8)
Global well-posedness for the non-linear Maxwell-Schrödinger system ⋮ Global-in-time well-posedness of the one-dimensional hydrodynamic Gross-Pitaevskii equations without vacuum ⋮ Exact integrability conditions for cotangent vector fields ⋮ An intrinsically hydrodynamic approach to multidimensional QHD systems ⋮ Stability of a one-dimensional full viscous quantum hydrodynamic system ⋮ Unnamed Item ⋮ Local well posedness of the Euler-Korteweg equations on \({{\mathbb{T}}^d} \) ⋮ Large-time behavior of compressible polytropic fluids and nonlinear Schrödinger equation
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