Long-time self-similarity of classical solutions to the bipolar quantum hydrodynamic models

DOI10.1016/j.na.2010.10.023zbMath1207.35087OpenAlexW2044245326MaRDI QIDQ622423

Yeping Li

Publication date: 31 January 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.10.023

zbMATH Keywords

classical solutionsone space dimensionEuler-Poisson system

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with optics and electromagnetic theory (35Q60) Magnetohydrodynamics and electrohydrodynamics (76W05) Self-similar solutions to PDEs (35C06)

Related Items

Asymptotic stability of nonlinear diffusion waves for the bipolar quantum Euler–Poisson system with time‐dependent damping, Large time behavior of solution to the three-dimensional quantum bipolar drift-diffusion model from semiconductors, Large-time behavior of solutions to the bipolar quantum Euler-Poisson system with critical time-dependent over-damping, Large-time behavior of solutions to the bipolar quantum Navier-Stokes-Poisson equations, Global existence and large time behavior of solutions for the bipolar quantum hydrodynamic models in the quarter plane, Asymptotic stability of the stationary wave for the quantum Navier-Stokes-Poisson system

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