Asymptotic convergence to planar stationary waves for multi-dimensional unipolar hydrodynamic model of semiconductors

DOI10.1016/j.jde.2011.04.007zbMath1228.35177OpenAlexW1989004487MaRDI QIDQ550032

Huimin Yu, Ming Mei, Yong Wang, Fei-Min Huang

Publication date: 19 July 2011

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2011.04.007

zbMATH Keywords

Euler-Poisson equationsnonlinear dampingexponential decay rates

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Diffusion (76R50) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Initial-boundary value problems for first-order hyperbolic systems (35L50)

Related Items (27)

Stability of stationary solutions to the compressible bipolar Euler-Poisson equations ⋮ Large time behavior of solutions to a bipolar hydrodynamic model with big data and vacuum ⋮ Existence and asymptotic behavior of smooth solutions to bipolar hydrodynamic model ⋮ Large-time behavior of solutions for unipolar Euler-Poisson equations with critical over-damping ⋮ Steady Hydrodynamic Model of Semiconductors with Sonic Boundary: (I) Subsonic Doping Profile ⋮ Subsonic steady-states for bipolar hydrodynamic model for semiconductors ⋮ Steady Hydrodynamic Model of Semiconductors with Sonic Boundary: (II) Supersonic Doping Profile ⋮ The time asymptotic expansion of the bipolar hydrodynamic model for semiconductors ⋮ Stability of steady states of the compressible Euler-Poisson system in \(\mathbb R^3\) ⋮ Stability of steady-state for 3-D hydrodynamic model of unipolar semiconductor with ohmic contact boundary in hollow ball ⋮ Multi-dimensional bipolar hydrodynamic model of semiconductor with insulating boundary conditions and non-zero doping profile ⋮ Analysis on the initial-boundary value problem of a full bipolar hydrodynamic model for semiconductors ⋮ The existence and stability of smooth solutions for multidimensional isentropic bipolar hydrodynamic model of semiconductors ⋮ Large-time behavior of solutions to unipolar Euler-Poisson equations with time-dependent damping ⋮ Radial solutions of hydrodynamic model of semiconductors with sonic boundary ⋮ Stability of the stationary solution of the Cauchy problem to a semiconductor full hydrodynamic model with recombination-generation rate ⋮ Large time behaviors of solutions to the unipolar hydrodynamic model of semiconductors with physical boundary effect ⋮ Smooth Transonic Steady States of Hydrodynamic Model for Semiconductors ⋮ Decay estimates of solutions to the bipolar compressible Euler-Poisson system in \(\mathbb{R}^3 \) ⋮ Stability on large non-constant steady states of semiconductor equations ⋮ Convergence to nonlinear diffusion waves for a hyperbolic-parabolic chemotaxis system modelling vasculogenesis ⋮ Steady hydrodynamic model of semiconductors with sonic boundary and transonic doping profile ⋮ Asymptotic stability of the stationary wave for the quantum Navier-Stokes-Poisson system ⋮ Nonlinear structural stability and linear dynamic instability of transonic steady-states to hydrodynamic model for semiconductors ⋮ Transonic Steady-States of Euler--Poisson Equations for Semiconductor Models with Sonic Boundary ⋮ Large time behavior of solutions to multi-dimensional bipolar hydrodynamic model of semiconductors with vacuum ⋮ Large-time behavior of the full compressible Euler-Poisson system without the temperature damping

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