[ספר][B] Quasi-hydrodynamic semiconductor equations
A Jüngel - 2011 - books.google.com
In this book a hierarchy of macroscopic models for semiconductor devices is presented.
Three classes of models are studied in detail: isentropic drift-diffusion equations, energy …
Three classes of models are studied in detail: isentropic drift-diffusion equations, energy …
A hierarchy of hydrodynamic models for plasmas zero-relaxation-time limits
A Jiingel, YJ Peng - Communications in partial differential …, 1999 - Taylor & Francis
We present a model hierarchy of hydrodynamic and quasihydrodynamic equations for
plasmas consisting of electrons and ions, and give a rigorous proof of the zero-relaxation …
plasmas consisting of electrons and ions, and give a rigorous proof of the zero-relaxation …
The relaxation of the hydrodynamic model for semiconductors to the drift–diffusion equations
L Hsiao, K Zhang - Journal of Differential Equations, 2000 - Elsevier
We establish the convergence and consistency of approximate solutions derived by the
modified Godunov scheme for the initial-boundary value problem to a simplified one …
modified Godunov scheme for the initial-boundary value problem to a simplified one …
Quantifying the hydrodynamic limit of Vlasov-type equations with alignment and nonlocal forces
In this paper, we quantify the asymptotic limit of collective behavior kinetic equations arising
in mathematical biology modeled by Vlasov-type equations with nonlocal interaction forces …
in mathematical biology modeled by Vlasov-type equations with nonlocal interaction forces …
THE GLOBAL WEAK SOLUTION AND RELAXATION LIMITS OF THE INITIAL–BOUNDARY VALUE PROBLEM TO THE BIPOLAR HYDRODYNAMIC MODEL FOR …
L Hsiao, K Zhang - Mathematical Models and Methods in Applied …, 2000 - World Scientific
The convergence and consistency of approximate solutions derived by the modified
Godunov scheme for the initial–boundary value problem to a bipolar hydrodynamic model …
Godunov scheme for the initial–boundary value problem to a bipolar hydrodynamic model …
A hierarchy of hydrodynamic models for plasmas. Zero-electron-mass limits in the drift-diffusion equations
A model hierarchy of hydrodynamic and quasi-hydrodynamic equations for plasmas
consisting of electrons and ions is presented. The various model equations are obtained …
consisting of electrons and ions is presented. The various model equations are obtained …
Global existence of plasma ion-sheaths and their dynamics
When a negative high voltage pulse is applied to a target material immersed in a plasma, a
boundary layer (sheath) forms around the target and the motion of cold ions in the plasma is …
boundary layer (sheath) forms around the target and the motion of cold ions in the plasma is …
A geometric level-set formulation of a plasma-sheath interface
In this paper, we present a new geometric level-set formulation of a plasma-sheath interface
arising in plasma physics. We formally derive the explicit dynamics of the interface from the …
arising in plasma physics. We formally derive the explicit dynamics of the interface from the …
On the relaxation limits of the hydrodynamic model for semiconductor devices
Y Qiu, K Zhang - Mathematical Models and Methods in Applied …, 2002 - World Scientific
The initial-boundary value problem of a simplified one-dimensional hydrodynamic model for
semiconductors is considered. The global weak solution and its relaxation limit are obtained …
semiconductors is considered. The global weak solution and its relaxation limit are obtained …
Numerical study on hydrodynamic and quasi-neutral approximations for collisionless two-species plasmas
We present a numerical study aimed at assessing the validity of certain approximations,
chiefly the fluid and quasi-neutral ones, generally used in the theoretical and computational …
chiefly the fluid and quasi-neutral ones, generally used in the theoretical and computational …