Existence and uniqueness of steady states to semiconductor bipolar full quantum hydrodynamic model
DOI10.1080/00036811.2021.2005787zbMath1515.35271OpenAlexW3216936977MaRDI QIDQ6099978
Publication date: 21 June 2023
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036811.2021.2005787
steady statesquantum energy-transport modelnon-constant doping profilefull quantum hydrodynamic model
PDEs in connection with quantum mechanics (35Q40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Boundary value problems for systems of nonlinear higher-order PDEs (35G60) PDEs in connection with semiconductor devices (35Q81)
Cites Work
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- Asymptotic stability and semi-classical limit for bipolar quantum hydrodynamic model
- Analysis on the initial-boundary value problem of a full bipolar hydrodynamic model for semiconductors
- Thermal equilibrium solution to new model of bipolar hybrid quantum hydrodynamics
- Existence and uniqueness of stationary solutions to a one-dimensional bipolar hydrodynamic model of semiconductors
- Relaxation limit and initial layer to hydrodynamic models for semiconductors
- Asymptotic stability of a stationary solution to a thermal hydrodynamic model for semiconductors
- On a one-dimensional steady-state hydrodynamic model for semiconductors
- Quasi-hydrodynamic semiconductor equations
- Asymptotic behavior of solutions to the bipolar hydrodynamic model of semiconductors in bounded domain
- Asymptotic stability of a stationary solution to a hydrodynamic model of semiconductors
- Initial boundary value problems for a quantum hydrodynamic model of semiconductors: asymptotic behaviors and classical limits
- The relaxation-time limit in the quantum hydrodynamic equations for semiconductors
- Stationary solutions for a new hybrid quantum model for semiconductors with discontinuous pressure functional and relaxation time
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