Linear asymptotic stability of the equilibrium state for the 2-D MEP hydrodynamical model of charge transport in semiconductors

DOI10.1016/j.na.2005.09.045zbMath1105.35015OpenAlexW1966074787MaRDI QIDQ2499636

R. S. Bushmanov, A. S. Rudometova, Vittorio Romano, Alexander Blokhin

Publication date: 14 August 2006

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2005.09.045

zbMATH Keywords

maximum entropy principlenonlinear Poisson equation

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Stability in context of PDEs (35B35) Statistical mechanics of semiconductors (82D37) Motion of charged particles (78A35) First-order hyperbolic systems (35L40)

Related Items (10)

Asymptotic stability of the stationary solution for a new mathematical model of charge transport in semiconductors ⋮ Study of the jump conditions for the 2D MEP hydrodynamical model of charge transport in semiconductors ⋮ Strong discontinuities for the 2-D MEP hydrodynamical model of charge transport in semiconductors ⋮ Local-in-time well-posedness of a regularized mathematical model for silicon MESFET ⋮ On an algorithm for finding the electric potential distribution in the DG-MOSFET transistor ⋮ Representation of the solution to a model problem in semiconductor physics ⋮ Hydrodynamical model for charge transport in graphene ⋮ A new approach to numerical simulation of charge transport in double gate-MOSFET ⋮ On calculating the electric potential for 2D silicon transistor with a silicon oxide nanochannel ⋮ Regularity of the solution and well-posedness of a mixed problem for an elliptic system with quadratic nonlinearity in gradients

Cites Work

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• Asymptotic stability of the equilibrium state for the hydrodynamical model of charge transport in semiconductors based on the maximum entropy principle
• Nonlinear asymptotic stability of the equilibrium state for the MEP model of charge transport in semiconductors
• Moment closure hierarchies for kinetic theories.
• 2D simulation of a silicon MESFET with a nonparabolic hydrodynamical model based on the maximum entropy principle
• Global existence for the system of the macroscopic balance equations of charge transport in semiconductors
• Non parabolic band transport in semiconductors: closure of the moment equations
• Non-parabolic band transport in semiconductors: Closure of the production terms in the moment equations
• Non-parabolic band hydrodynamical model of silicon semiconductors and simulation of electron devices
• Thermodynamic derivation of the hydrodynamical model for charge transport in semiconductors
• TRANSIENT SEMICONDUCTOR DEVICE SIMULATION INCLUDING ENERGY BALANCE EQUATION
• On a hierarchy of macroscopic models for semiconductors
• Hydrodynamical modeling of charge carrier transport in semiconductors
• Stability of the equilibrium state for a hydrodynamical model of charge transport in semi\-conductors.

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