An intrinsically hydrodynamic approach to multidimensional QHD systems
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Publication:2690880
DOI10.1007/s00205-023-01856-xOpenAlexW4324088313MaRDI QIDQ2690880
Pierangelo Marcati, Paolo Antonelli, Hao Zheng
Publication date: 17 March 2023
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1912.05448
stabilityweak solutionCauchy problemexistence resultdispersive estimateMorawetz-type estimatequantum hydrodynamics system
PDEs in connection with fluid mechanics (35Q35) A priori estimates in context of PDEs (35B45) PDEs in connection with quantum mechanics (35Q40) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Weak solutions to PDEs (35D30)
Related Items (3)
Global-in-time well-posedness of the one-dimensional hydrodynamic Gross-Pitaevskii equations without vacuum ⋮ Exact integrability conditions for cotangent vector fields ⋮ Stability of a one-dimensional full viscous quantum hydrodynamic system
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