Global existence and asymptotic behavior of solutions to the nonisentropic bipolar hydrodynamic models

DOI10.1016/j.jde.2010.08.018zbMath1227.35069OpenAlexW2091209301MaRDI QIDQ618268

Yeping Li

Publication date: 14 January 2011

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2010.08.018

zbMATH Keywords

energy estimatesexponential decayalgebraic decaycharge transport in semiconductorsdiffusive wave

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) A priori estimates in context of PDEs (35B45) Statistical mechanics of semiconductors (82D37) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Classical solutions to PDEs (35A09)

Related Items (10)

Stability of stationary solutions to the compressible bipolar Euler-Poisson equations ⋮ Optimal decay estimates for nonisentropic hydrodynamic models of two-carrier plasmas ⋮ Convergence to a diffusive contact wave for solutions to a system of hyperbolic balance laws ⋮ Stability of steady states of the compressible Euler-Poisson system in \(\mathbb R^3\) ⋮ Global existence and large time behavior of solutions to the bipolar nonisentropic Euler-Poisson equations ⋮ Stability of planar diffusion wave for the three dimensional full bipolar Euler-Poisson system ⋮ Global existence and asymptotic behavior of the solutions to the 3D bipolar non-isentropic Euler–Poisson equation ⋮ Decay estimates of solutions to the bipolar compressible Euler-Poisson system in \(\mathbb{R}^3 \) ⋮ Asymptotic stability of a stationary solution for the bipolar full Euler-Poisson equation in a bounded domain ⋮ Large-time behavior of the full compressible Euler-Poisson system without the temperature damping

Cites Work

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