Quasineutral limit of the viscous quantum hydrodynamic model for semiconductors

DOI10.1016/j.jmaa.2008.11.011zbMath1160.82359OpenAlexW1982796401MaRDI QIDQ1018663

Fu-Cai Li

Publication date: 20 May 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.11.011

zbMATH Keywords

incompressible Navier-Stokes equationsquasineutral limitmodulated energy functionalviscous quantum hydrodynamic model

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Statistical mechanics of semiconductors (82D37) Quantum hydrodynamics and relativistic hydrodynamics (76Y05)

Related Items

From quantum Euler–Maxwell equations to incompressible Euler equations, Global existence of the three-dimensional viscous quantum magnetohydrodynamic model, Global existence of weak solution for quantum Navier-Stokes-Poisson equations, Existence of global weak solution for quantum Navier–Stokes system, Convergence of compressible Navier-Stokes-Maxwell equations to incompressible Navier-Stokes equations, Quasineutral limit of bipolar quantum hydrodynamic model for semiconductors, The existence, uniqueness and exponential decay of global solutions in the full quantum hydrodynamic equations for semiconductors, Existence of global weak solutions for Navier-Stokes-Poisson equations with quantum effect and convergence to incompressible Navier-Stokes equations, INVISCID QUASI-NEUTRAL LIMIT OF A NAVIER-STOKES-POISSON-KORTEWEG SYSTEM, Asymptotic stability of the stationary wave for the quantum Navier-Stokes-Poisson system, Convergence of the quantum Navier-Stokes-Poisson equations to the incompressible Euler equations for general initial data

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