Global existence and exponential stability of smooth solutions to a full hydrodynamic model to semiconductors

DOI10.1007/S00605-002-0485-0zbMath1004.82018OpenAlexW2095148875MaRDI QIDQ1849369

Ping Zhang, Ling Hsiao, Song Jiang

Publication date: 1 December 2002

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-002-0485-0

zbMATH Keywords

global existencehydrodynamic semiconductor equationslarge-time behavior

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Statistical mechanics of semiconductors (82D37) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (11)

Relaxation-time limits of non-isentropic hydrodynamic models for semiconductors ⋮ Global smooth solutions to the multidimensional hydrodynamic model for plasmas with insulating boundary conditions ⋮ Global solutions to nonisentropic hydrodynamic models for two-carrier plasmas ⋮ Global existence of classical solutions of full Euler-Maxwell equations ⋮ Energy-transport and drift-diffusion limits of nonisentropic Euler-Poisson equations ⋮ Analysis on the initial-boundary value problem of a full bipolar hydrodynamic model for semiconductors ⋮ ENERGY-TRANSPORT LIMIT OF THE HYDRODYNAMIC MODEL FOR SEMICONDUCTORS ⋮ The well-posedness theory for Euler–Poisson fluids with non-zero heat conduction ⋮ Global existence and asymptotic behavior for a multidimensional nonisentropic hydrodynamic semiconductor model with the heat source ⋮ Stability of the stationary solution of the Cauchy problem to a semiconductor full hydrodynamic model with recombination-generation rate ⋮ Asymptotic stability of solutions to the nonisentropic hydrodynamic model for semiconductors

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