Study on a cross diffusion parabolic system

DOI10.1007/S10255-006-0345-0zbMath1112.35086OpenAlexW2063788236MaRDI QIDQ871664

Gerald Warnecke, Ling Hsiao, Li Chen

Publication date: 20 March 2007

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-006-0345-0

zbMATH Keywords

global existenceenergy transport modelasymptotic behaviorl elliptic-parabolic systemcross diffusion parabolic systemLyumkis energy transport model

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Degenerate parabolic equations (35K65) Statistical mechanics of semiconductors (82D37) Motion of charged particles (78A35)

Cites Work

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• A system of parabolic equations in nonequilibrium thermodynamics including thermal and electrical effects
• Regularity and uniqueness of solutions to a parabolic system in nonequilibrium thermodynamics
• An energy-transport model for semiconductors derived from the Boltzmann equation.
• Quasi-hydrodynamic semiconductor equations
• Large time behavior and energy relaxation time limit of the solutions to an energy transport model in semiconductors
• TRANSIENT SEMICONDUCTOR DEVICE SIMULATION INCLUDING ENERGY BALANCE EQUATION
• Global existence and asymptotic behavior to the solutions of 1-D Lyumkis energy transport model for semiconductors
• On a hierarchy of macroscopic models for semiconductors

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