Exponential decay to a quantum hydrodynamic model for semiconductors

DOI10.1016/j.nonrwa.2006.11.001zbMath1148.82032OpenAlexW2042108133MaRDI QIDQ924585

Bo Liang, Sining Zheng

Publication date: 16 May 2008

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2006.11.001

zbMATH Keywords

a priori estimatesentropy methodexponential decayquantum hydrodynamicslarge-time behavior

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Boundary value problems for nonlinear higher-order PDEs (35G30) PDEs in connection with quantum mechanics (35Q40) Statistical mechanics of semiconductors (82D37) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Euler-Poisson-Darboux equations (35Q05)

Related Items (4)

Long time decay rate to a bipolar quantum drift-diffusion model ⋮ Relaxation limit from the quantum Navier-Stokes equations to the quantum drift-diffusion equation ⋮ Existence and asymptotic behavior of solutions to a nonlinear parabolic equation of fourth order ⋮ Existence of the solution for the viscous bipolar quantum hydrodynamic model

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