Thermal equilibrium solution to new model of bipolar hybrid quantum hydrodynamics
From MaRDI portal
Publication:526043
DOI10.1016/j.jde.2017.03.032zbMath1368.35262OpenAlexW2597962213MaRDI QIDQ526043
Rosella Sampalmieri, Bruno Rubino, Ming Mei, Federica Di Michele
Publication date: 8 May 2017
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2017.03.032
Smoothness and regularity of solutions to PDEs (35B65) Statistical mechanics of semiconductors (82D37) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Weak solutions to PDEs (35D30) PDEs in connection with statistical mechanics (35Q82)
Related Items
Existence of solutions for a viscous hybrid quantum system for arbitrary large current density ⋮ Study of weak solutions to a nonlinear fourth‐order parabolic equation with boundary degeneracy ⋮ Semiconductor full quantum hydrodynamic model with non-flat doping profile: (II) semi-classical limit ⋮ Existence and uniqueness of steady states to semiconductor bipolar full quantum hydrodynamic model ⋮ Existence of solutions to a doubly degenerate fourth-order partial differential equation with a degenerate diffusion ⋮ The stationary solution of a one-dimensional bipolar quantum hydrodynamic model ⋮ Stationary solutions for a new hybrid quantum model for semiconductors with discontinuous pressure functional and relaxation time ⋮ On a double degenerate fourth-order parabolic equation ⋮ Existence of solutions to a doubly degenerate fourth-order parabolic equation ⋮ The existence, uniqueness and exponential decay of global solutions in the full quantum hydrodynamic equations for semiconductors
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Stationary solution for transient quantum hydrodynamics with Bohmenian-type boundary conditions
- A 1D coupled Schrödinger drift-diffusion model including collisions
- The quantum hydrodynamics system in two space dimensions
- A steady-state mathematical model for an EOS capacitor: the effect of the size exclusion
- Stability of semiconductor states with insulating and contact boundary conditions
- Weak solutions to the stationary quantum drift-diffusion model
- On the bipolar multidimensional quantum Euler--Poisson system: the thermal equilibrium solution and semiclassical limit
- Semiclassical and relaxation limits of bipolar quantum hydrodynamic model for semiconductors
- A hybrid kinetic-quantum model for stationary electron transport
- Thermal equilibrium states of the quantum hydrodynamic model for semiconductors in one dimension
- The thermal equilibrium solution of a generic bipolar quantum hydrodynamic model
- Existence and asymptotic behavior of multi-dimensional quantum hydrodynamic model for semiconductors
- On a one-dimensional steady-state hydrodynamic model for semiconductors
- Weak solutions to a hydrodynamic model for semiconductors and relaxation to the drift-diffusion equation
- Steady states and interface transmission conditions for heterogeneous quantum-classical 1-D hydrodynamic model of semiconductor devices
- Initial boundary value problems for a quantum hydrodynamic model of semiconductors: asymptotic behaviors and classical limits
- A Hybrid Classical-Quantum Transport Model for the Simulation of Carbon Nanotube Transistors
- A hybrid classical-quantum approach for ultra-scaled confined nanostructures : modeling and simulation
- Asymptotic Convergence to Stationary Waves for Unipolar Hydrodynamic Model of Semiconductors
- A New Basis Implementation for a Mixed Order Boundary Value ODE Solver
- Collocation Software for Boundary-Value ODEs
- Large Time Behavior of the Solutions to a Hydrodynamic Model for Semiconductors
- The Quantum Hydrodynamic Model for Semiconductor Devices
- Asymptotic behaviour of solutions of the hydrodynamic model of semiconductors
- Quantum Euler-Poisson systems: global existence and exponential decay
- A variational analysis of the thermal equilibrium state of charged quantum fluids
- A Hybrid Drift Diffusion Model: Derivation, Weak Steady State Solutions and Simulations
- Parallelization of a quantum-classic hybrid model for Nanoscale Semiconductor devices
- A quantum regularization of the one-dimensional hydrodynamic model for semiconductors.
