The Cauchy–Neumann problem for a multidimensional nonisentropic hydrodynamic semiconductor model

DOI10.1088/0951-7715/18/3/002zbMath1080.35042OpenAlexW2005990213MaRDI QIDQ3025229

Yeping Li

Publication date: 13 July 2005

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/18/3/002

zbMATH Keywords

global existence of smooth solutionsCauchy-Neumann problemdrift-diffusion equationsnonzero thermal conductivity coefficient

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with optics and electromagnetic theory (35Q60) Hyperbolic conservation laws (35L65) Statistical mechanics of semiconductors (82D37) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Related Items (5)

Stationary solutions for a multi-dimensional nonisentropic hydrodynamic model for semiconductors ⋮ Global existence and asymptotic behavior of smooth solutions to a bipolar Euler-Poisson equation in a bound domain ⋮ Global solutions to nonisentropic hydrodynamic models for two-carrier plasmas ⋮ Global existence of classical solutions of full Euler-Maxwell equations ⋮ Neumann problem for generalized \(n\)-Poisson equation

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