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math-ph2008★ 18 cited
Semiclassical and relaxation limits of bipolar quantum hydrodynamic model
Guojing Zhang, Hai-Liang Li, Kaijun Zhang
The global in-time semiclassical and relaxation limits of the bipolar quantum hydrodynamic model for semiconductors are investigated in . We prove that the unique strong solut…
math-ph2008★ 19 cited
Algebraic time-decay for the bipolar quantum hydrodynamic model
Hai-Liang Li, Guojing Zhang, Kaijun Zhang
The initial value problem is considered in the present paper for bipolar quantum hydrodynamic model for semiconductors (QHD) in . We prove that the unique strong solu…
math-ph2008★ 5 cited
Long-time self-similar asymptotic of the macroscopic quantum models
Hai-Liang Li, Guo-Jing Zhang, Min Zhang +1
The unipolar and bipolar macroscopic quantum models derived recently for instance in the area of charge transport are considered in spatial one-dimensional whole space in the prese…