A note on asymptotic behavior of solutions for the one-dimensional bipolar Euler-Poisson system

DOI10.1016/j.jmaa.2009.07.018zbMath1180.35110OpenAlexW1964700038MaRDI QIDQ1034045

Yeping Li, Pei-Yuan Meng

Publication date: 10 November 2009

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.2009.07.018

zbMATH Keywords

convergenceenergy estimatesasymptotic behaviorglobal solutionsbipolar hydrodynamic model

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial value problems for nonlinear first-order PDEs (35F25)

Cites Work

• The initial value problem for the equations of motion of viscous and heat-conductive gases
• 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
• Global smooth solutions to the multi-dimensional hydrodynamic model for two-carrier plasmas
• Convergence rates to nonlinear diffusion waves for solutions of system of hyperbolic conservation laws with damping
• Quasi-hydrodynamic semiconductor equations
• The bipolar hydrodynamic model for semiconductors and the drift-diffusion equations
• Diffusion relaxation limit of a bipolar hydrodynamic model 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
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