The well-posedness and asymptotics of multi-dimensional quantum hydrodynamics

DOI10.1016/S0252-9602(09)60053-9zbMath1212.82023MaRDI QIDQ979447

Hai-liang Li, Ling Hsiao

Publication date: 8 July 2010

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

well-posednessquantum hydrodynamicslongtime behaviorsmall scale limit

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) PDEs in connection with quantum mechanics (35Q40) Statistical mechanics of semiconductors (82D37)

Related Items (4)

Quantum Semiconductor Models ⋮ Global existence and semiclassical limit for quantum hydrodynamic equations with viscosity and heat conduction ⋮ Existence of the solution for the viscous bipolar quantum hydrodynamic model ⋮ Quasineutral limit of bipolar quantum hydrodynamic model for semiconductors

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