Large-time behavior of solutions of quantum hydrodynamic model for semiconductors

DOI10.1016/S0252-9602(06)60038-6zbMath1152.76505OpenAlexW1963911858MaRDI QIDQ2495291

Yueling Jia, Hai-liang Li

Publication date: 5 July 2006

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

Full work available at URL: https://doi.org/10.1016/s0252-9602(06)60038-6

zbMATH Keywords

exponential decaylarge-time behaviorquantum Euler-Poisson systemnonlinear fourth-order wave equationglobal existence of classical solutionQuantum hydrodynamic equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Navier-Stokes equations (35Q30) Statistical mechanics of semiconductors (82D37) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Related Items (9)

The full viscous quantum hydrodynamic system in one dimensional space ⋮ Relaxation-time limits of global solutions in full quantum hydrodynamic model for semiconductors. ⋮ ALGEBRAIC TIME DECAY FOR THE BIPOLAR QUANTUM HYDRODYNAMIC MODEL ⋮ The stationary solution of a one-dimensional bipolar quantum hydrodynamic model ⋮ Semiclassical and relaxation limits of bipolar quantum hydrodynamic model for semiconductors ⋮ Existence of the solution for the viscous bipolar quantum hydrodynamic model ⋮ Quasineutral limit of bipolar quantum hydrodynamic model for semiconductors ⋮ A sixth-order parabolic system in semiconductors ⋮ The existence, uniqueness and exponential decay of global solutions in the full quantum hydrodynamic equations for semiconductors

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