Sub-exponential convergence to steady-states for 1-D Euler-Poisson equations with time-dependent damping

DOI10.4310/CMS.2022.v20.n2.a7zbMath1492.35336OpenAlexW4210587463WikidataQ115481141 ScholiaQ115481141MaRDI QIDQ2076205

Hui Sun, Ming Mei, Kai-Jun Zhang

Publication date: 16 February 2022

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/cms.2022.v20.n2.a7

zbMATH Keywords

semiconductorweak dampingEuler-Poisson equationsstrong dampingsteady-statesunipolar hydrodynamic modelsub-exponential convergence

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with optics and electromagnetic theory (35Q60) PDEs in connection with fluid mechanics (35Q35) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Initial-boundary value problems for first-order hyperbolic systems (35L50) Electro- and magnetostatics (78A30) PDEs in connection with semiconductor devices (35Q81)

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