Stationary solutions to the drift-diffusion model in the whole spaces

DOI10.1002/MMA.1058zbMath1173.78301OpenAlexW1983621696MaRDI QIDQ3623086

Shuichi Kawashima, Ryo Kobayashi, Masaki Kurokiba

Publication date: 16 April 2009

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1058

zbMATH Keywords

drift-diffusion modelstationary solutions

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Statistical mechanics of plasmas (82D10) Electromagnetic theory (general) (78A25)

Related Items (2)

Asymptotic behavior of solutions for the one-dimensional drift-diffusion model in the quarter plane ⋮ Asymptotic stability of stationary solutions to the drift-diffusion model with the fractional dissipation

Cites Work

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• Asymptotic behavior of solutions of transport equations for semiconductor devices
• Long time behavior of solutions of Nernst-Planck and Debye-Hückel drift-diffusion systems
• Well-posedness for the drift-diffusion system in \(L^p\) arising from the semiconductor device simulation
• Decay Estimates and Large Time Behavior of Solutions to the Drift-Diffusion System
• L^p ENERGY METHOD FOR MULTI-DIMENSIONAL VISCOUS CONSERVATION LAWS AND APPLICATION TO THE STABILITY OF PLANAR WAVES

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