Large-time behavior of solutions to bipolar Euler-Poisson equations with time-dependent damping in the half space

DOI10.1016/j.jmaa.2021.125899OpenAlexW4200618098MaRDI QIDQ2069927

Yanyan Li

Publication date: 21 January 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2021.125899

zbMATH Keywords

initial-boundary value problemlarge-time behaviortime-dependent dampingnonlinear diffusion wavesbipolar Euler-Poisson equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with optics and electromagnetic theory (35Q60) Statistical mechanics of semiconductors (82D37) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Perturbations in context of PDEs (35B20)

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Asymptotic stability of nonlinear diffusion waves for the bipolar quantum Euler–Poisson system with time‐dependent damping, Asymptotic behavior of solutions to the Euler-Korteweg equations with time-dependent damping, Large-time behavior of solutions to the bipolar quantum Euler-Poisson system with critical time-dependent over-damping

Cites Work

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• Pointwise estimates of solutions for the multi-dimensional bipolar Euler-Poisson system
• Large time behavior of solutions to a bipolar hydrodynamic model with big data and vacuum
• Existence and some limit analysis of stationary solutions for a multi-dimensional bipolar Euler-Poisson system
• Quasi-neutral limit of the two-fluid Euler-Poisson system
• 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
• Relaxation limit of the one-dimensional bipolar Euler-Poisson system in the bound domain
• Existence and uniqueness of stationary solutions to a one-dimensional bipolar hydrodynamic model of semiconductors
• Large time behavior and quasineutral limit of solutions to a bipolar hydrodynamic model with large data and vacuum
• The compressible Euler equations in a bounded domain: Existence of solutions and the incompressible limit
• Large time behavior of solutions of the bipolar hydrodynamical model for semiconductors.
• Stability of steady state solutions for an isentropic hydrodynamic model of semiconductors of two species
• The relaxation of the hydrodynamic model for semiconductors to the drift-diffusion equations
• Pointwise estimates and \(L^p\) convergence rates to diffusion waves for a one-dimensional bipolar hydrodynamic model
• Convergence to diffusion waves for solutions of Euler equations with time-depending damping on quadrant
• Stability and \( L^{p}\) convergence rates of planar diffusion waves for three-dimensional bipolar Euler-Poisson systems
• Global smooth solutions to the multi-dimensional hydrodynamic model for two-carrier plasmas
• Quasi-hydrodynamic semiconductor equations
• The bipolar hydrodynamic model for semiconductors and the drift-diffusion equations
• Large-time behavior of solutions to unipolar Euler-Poisson equations with time-dependent damping
• Large-time behavior of solutions to Cauchy problem for bipolar Euler-Poisson system with time-dependent damping in critical case
• Asymptotic behavior of solutions to Euler-Poisson equations for bipolar hydrodynamic model of semiconductors
• Global well-posedness of the hydrodynamic model for two-carrier plasmas
• Global smooth solutions to the multidimensional hydrodynamic model for plasmas with insulating boundary conditions
• Global existence and asymptotic behavior of smooth solutions to a bipolar Euler-Poisson equation in a bound domain
• Existence and some limits of stationary solutions to a one-dimensional bipolar Euler-Poisson system
• Asymptotic behavior of solutions to bipolar Euler-Poisson equations with time-dependent damping
• Long-time Behavior of Solutions to the Bipolar Hydrodynamic Model of Semiconductors with Boundary Effect
• The zero-electron-mass limit in the Euler–Poisson system for both well- and ill-prepared initial data
• Large Time Behavior of Solutions ton-Dimensional Bipolar Hydrodynamic Models for Semiconductors
• ON THE 3-D BIPOLAR ISENTROPIC EULER–POISSON MODEL FOR SEMICONDUCTORS AND THE DRIFT-DIFFUSION LIMIT
• THE GLOBAL WEAK SOLUTION AND RELAXATION LIMITS OF THE INITIAL–BOUNDARY VALUE PROBLEM TO THE BIPOLAR HYDRODYNAMIC MODEL FOR SEMICONDUCTORS