Large-time behavior of solutions to unipolar Euler-Poisson equations with time-dependent damping
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Publication:2032072
DOI10.3934/CPAA.2021003zbMath1471.35242OpenAlexW3120780022MaRDI QIDQ2032072
Publication date: 16 June 2021
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/cpaa.2021003
Euler-Poisson equationslarge-time behaviortime-dependent dampingtime-weighted energy methodunipolar hydrodynamic model
Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with optics and electromagnetic theory (35Q60) PDEs in connection with fluid mechanics (35Q35) PDEs in connection with semiconductor devices (35Q81)
Related Items (5)
Large-time behavior of solutions to the time-dependent damped bipolar Euler-Poisson system ⋮ Global solutions for the 1-D compressible Euler equations with time-dependent damping ⋮ 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 bipolar Euler-Poisson equations with time-dependent damping in the half space
Cites Work
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- Blow up of solutions to 1-d Euler equations with time-dependent damping
- Asymptotic convergence to planar stationary waves for multi-dimensional unipolar hydrodynamic model of semiconductors
- Steady-state solutions of a one-dimensional hydrodynamic model for semiconductors
- Stability of semiconductor states with insulating and contact boundary conditions
- Global existence of solutions to 1-d Euler equations with time-dependent damping
- Asymptotic stability of a stationary solution to a thermal hydrodynamic model for semiconductors
- Global existence and asymptotics of the solutions of the second-order quasilinear hyperbolic equations with the first-order dissipation
- Convergence of the Godunov scheme for a simplified one-dimensional hydrodynamic model for semiconductor devices
- A steady state potential flow model for semiconductors
- The asymptotic behavior of globally smooth solutions of the multidimensional isentropic hydrodynamic model for semiconductors.
- Large time behavior of solutions of the bipolar hydrodynamical model for semiconductors.
- The relaxation of the hydrodynamic model for semiconductors to the drift-diffusion equations
- On a one-dimensional steady-state hydrodynamic model for semiconductors
- Weak solutions to a hydrodynamic model for semiconductors and relaxation to the drift-diffusion equation
- Global solutions to the isothermal Euler-Poisson system with arbitrarily large data
- Convergence of shock capturing schemes for the compressible Euler-Poisson equations
- Large time behaviors of solutions to the unipolar hydrodynamic model of semiconductors with physical boundary effect
- Global and blow-up solutions for compressible Euler equations with time-dependent damping
- Asymptotic behavior of solutions to Euler-Poisson equations for bipolar hydrodynamic model of semiconductors
- Singularity formation for the 1D compressible Euler equations with variable damping coefficient
- 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
- Large Time Behavior of Solutions ton-Dimensional Bipolar Hydrodynamic Models for Semiconductors
- Asymptotic Convergence to Stationary Waves for Unipolar Hydrodynamic Model of Semiconductors
- Large Time Behavior of the Solutions to a Hydrodynamic Model for Semiconductors
- Asymptotic behavior of subsonic entropy solutions of the isentropic Euler-Poisson equations
- THE GLOBAL WEAK SOLUTION AND RELAXATION LIMITS OF THE INITIAL–BOUNDARY VALUE PROBLEM TO THE BIPOLAR HYDRODYNAMIC MODEL FOR SEMICONDUCTORS
- Asymptotic behaviour of solutions of the hydrodynamic model of semiconductors
- Asymptotics of initial boundary value problems for hydrodynamic and drift diffusion models for semiconductors
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