Large-time behavior of solutions to the bipolar quantum Euler-Poisson system with critical time-dependent over-damping
type: Item
instance of: scholarly article
title: Large-time behavior of solutions to the bipolar quantum Euler-Poisson system with critical time-dependent over-damping
zbMATH Open document ID: 1498.35446
author: Qiwei Wu
published in: Discrete and Continuous Dynamical Systems. Series B
publication date: 2022-09-30T00:00:00Z
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35B65
Mathematics Subject Classification ID: 76W05
Mathematics Subject Classification ID: 76Y05
zbMATH DE Number: 7595607
zbMATH Keywords: bipolar quantum Euler-Poisson system
zbMATH Keywords: critical over-damping
zbMATH Keywords: large-time behavior
zbMATH Keywords: smooth solutions
zbMATH Keywords: nonlinear diffusion waves
MaRDI profile type: Publication
full work available at URL: dcdsb.2022008
OpenAlex ID: W4206926220
cites work: Global and blow-up solutions for compressible Euler equations with time-dependent damping
cites work: Quantum moment hydrodynamics and the entropy principle
cites work: Asymptotic behavior of solutions to Euler-Poisson equations for bipolar hydrodynamic model of semiconductors
cites work: A class of similarity solutions of the nonlinear diffusion equation
cites work: The Quantum Hydrodynamic Model for Semiconductor Devices
cites work: Large time behavior of solutions of the bipolar hydrodynamical model for semiconductors.
cites work: Q4339594
cites work: Asymptotic Behavior of Solutions to Euler Equations with Time-Dependent Damping in Critical Case
cites work: Asymptotic stability and semi-classical limit for bipolar quantum hydrodynamic model
cites work: The stationary solution of a one-dimensional bipolar quantum hydrodynamic model
cites work: Existence and stability of steady-state of one-dimensional quantum hydrodynamic system for semiconductors
cites work: Large time behavior and quasineutral limit of solutions to a bipolar hydrodynamic model with large data and vacuum
cites work: Large Time Behavior of Solutions ton-Dimensional Bipolar Hydrodynamic Models for Semiconductors
cites work: Long-time behavior of solutions to the bipolar hydrodynamic model of semiconductors with boundary effect
cites work: ON THE 3-D BIPOLAR ISENTROPIC EULER–POISSON MODEL FOR SEMICONDUCTORS AND THE DRIFT-DIFFUSION LIMIT
cites work: Asymptotic behavior of solutions to bipolar Euler-Poisson equations with time-dependent damping
cites work: Optimal convergence rate to nonlinear diffusion waves for Euler equations with critical overdamping
cites work: ALGEBRAIC TIME DECAY FOR THE BIPOLAR QUANTUM HYDRODYNAMIC MODEL
cites work: Long-time self-similarity of classical solutions to the bipolar quantum hydrodynamic models
cites work: Global existence and large time behavior of solutions for the bipolar quantum hydrodynamic models in the quarter plane
cites work: Global existence and asymptotic behavior of the solutions to the three-dimensional bipolar Euler-Poisson systems
cites work: STEADY-STATE SOLUTIONS AND ASYMPTOTIC LIMITS ON THE MULTI-DIMENSIONAL SEMICONDUCTOR QUANTUM HYDRODYNAMIC MODEL
cites work: Large-time behavior of solutions to Cauchy problem for bipolar Euler-Poisson system with time-dependent damping in critical case
cites work: Asymptotic behavior of solutions to the bipolar hydrodynamic model of semiconductors in bounded domain
cites work: Initial boundary value problems for a quantum hydrodynamic model of semiconductors: asymptotic behaviors and classical limits
cites work: Global existence of solutions to 1-d Euler equations with time-dependent damping
cites work: Blow up of solutions to 1-d Euler equations with time-dependent damping
cites work: The thermal equilibrium solution of a generic bipolar quantum hydrodynamic model
cites work: Large-time behavior of solutions to bipolar Euler-Poisson equations with time-dependent damping in the half space
cites work: Semiclassical and relaxation limits of bipolar quantum hydrodynamic model for semiconductors
cites work: On the bipolar multidimensional quantum Euler--Poisson system: the thermal equilibrium solution and semiclassical limit
DOI: 10.3934/DCDSB.2022008
description: scientific article; zbMATH DE number 7595607