THE GLOBAL WEAK SOLUTION AND RELAXATION LIMITS OF THE INITIAL–BOUNDARY VALUE PROBLEM TO THE BIPOLAR HYDRODYNAMIC MODEL FOR SEMICONDUCTORS
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Publication:4798842
DOI10.1142/S0218202500000653zbMath1174.82350WikidataQ128379348 ScholiaQ128379348MaRDI QIDQ4798842
Publication date: 16 March 2003
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Related Items
A review of hydrodynamical models for semiconductors: Asymptotic behavior ⋮ Global smooth solutions to the multidimensional hydrodynamic model for plasmas with insulating boundary conditions ⋮ Diffusion relaxation limit of a bipolar hydrodynamic model for semiconductors ⋮ Weak solutions of the isothermal bipolar hydrodynamic model for semiconductors with large data ⋮ Asymptotic behavior of solutions for the one-dimensional drift-diffusion model in the quarter plane ⋮ Optimal decay estimates for nonisentropic hydrodynamic models of two-carrier plasmas ⋮ The asymptotic behavior and the quasineutral limit for the bipolar Euler-Poisson system with boundary effects and a vacuum ⋮ Global existence and asymptotic behavior of solutions to the nonisentropic bipolar hydrodynamic models ⋮ Large-time behavior of solutions to the time-dependent damped bipolar Euler-Poisson system ⋮ Large time behavior of solutions of the bipolar hydrodynamical model for semiconductors. ⋮ Asymptotic stability of nonlinear diffusion waves for the bipolar quantum Euler–Poisson system with time‐dependent damping ⋮ Relaxation-time limit of the multidimensional bipolar hydrodynamic model in Besov space ⋮ Global existence and asymptotic behavior of the solutions to the three-dimensional bipolar Euler-Poisson systems ⋮ Stability of steady states of the compressible Euler-Poisson system in \(\mathbb R^3\) ⋮ Pointwise estimates and \(L^p\) convergence rates to diffusion waves for a one-dimensional bipolar hydrodynamic model ⋮ Stability and \( L^{p}\) convergence rates of planar diffusion waves for three-dimensional bipolar Euler-Poisson systems ⋮ Asymptotics of initial boundary value problems for hydrodynamic and drift diffusion models for semiconductors ⋮ Stability of planar diffusion wave for the three dimensional full bipolar Euler-Poisson system ⋮ On the initial-boundary value problem for the bipolar hydrodynamic model for semiconductors ⋮ Asymptotic convergence to planar stationary waves for multi-dimensional unipolar hydrodynamic model of semiconductors ⋮ On the isothermal compressible Euler equations with frictional damping ⋮ The existence and stability of smooth solutions for multidimensional isentropic bipolar hydrodynamic model of semiconductors ⋮ Large time behaviors of solutions to the unipolar hydrodynamic model of semiconductors with physical boundary effect ⋮ Global existence and asymptotic behavior of the solutions to the 3D bipolar non-isentropic Euler–Poisson equation ⋮ Decay estimates of solutions to the bipolar compressible Euler-Poisson system in \(\mathbb{R}^3 \) ⋮ Global smooth solutions to the multi-dimensional hydrodynamic model for two-carrier plasmas ⋮ Large time behavior of solution to the three-dimensional quantum bipolar drift-diffusion model from semiconductors ⋮ Asymptotic stability of a stationary solution for the bipolar full Euler-Poisson equation in a bounded domain ⋮ Large-time behavior of solutions to bipolar Euler-Poisson equations with time-dependent damping in the half space ⋮ A note on asymptotic behavior of solutions for the one-dimensional bipolar Euler-Poisson system
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