ASYMPTOTIC LIMITS FOR QUANTUM TRAJECTORY MODELS

DOI10.1081/PDE-120002869zbMath1006.35081OpenAlexW2132259376MaRDI QIDQ4547612

Ansgar Jüngel, Irene Martínez Gamba

Publication date: 4 March 2003

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/pde-120002869

zbMATH Keywords

semiclassical limitsviscous quantum hydrodynamics

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Statistical mechanics of semiconductors (82D37) Magnetohydrodynamics and electrohydrodynamics (76W05) Quantum hydrodynamics and relativistic hydrodynamics (76Y05)

Related Items

STEADY-STATE SOLUTIONS AND ASYMPTOTIC LIMITS ON THE MULTI-DIMENSIONAL SEMICONDUCTOR QUANTUM HYDRODYNAMIC MODEL ⋮ Blow-up of the smooth solution to quantum hydrodynamic models in \(\mathbb{R}^{d}\) ⋮ A blow-up criterion of strong solutions to the quantum hydrodynamic model ⋮ Blow-up of solutions to quantum hydrodynamic models in half space ⋮ Exponential decay to a quantum hydrodynamic model for semiconductors ⋮ A new blow-up criterion of the strong solution to the quantum hydrodynamic model ⋮ Existence and stability of steady-state of one-dimensional quantum hydrodynamic system for semiconductors ⋮ On the blowing up of solutions to quantum hydrodynamic models on bounded domains ⋮ Global existence of solutions to one-dimensional viscous quantum hydrodynamic equations

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