Existence analysis for a simplified transient energy-transport model for semiconductors

DOI10.1002/mma.2715zbMath1275.35124arXiv1206.5722OpenAlexW2962704492MaRDI QIDQ2847210

René Pinnau, Elisa Röhrig, Ansgar Jüngel

Publication date: 4 September 2013

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

Full work available at URL: https://arxiv.org/abs/1206.5722

zbMATH Keywords

nonlinear heat equationPoisson equationelliptic-parabolic systemmixed Dirichlet-Neumann boundary conditionsStampacchia truncation methodballistic diodedrift-diffusion-type equation

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Statistical mechanics of semiconductors (82D37) PDEs in connection with mechanics of particles and systems of particles (35Q70) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (9)

Energy-transport systems for optical lattices: Derivation, analysis, simulation ⋮ Numerical Schemes for Semiconductors Energy-Transport Models ⋮ A simplified stationary energy-transport model with temperature-dependent conductivity ⋮ Global existence analysis for degenerate energy-transport models for semiconductors ⋮ Asymptotic behavior of strong solutions of a simplified energy-transport model with general conductivity ⋮ Analysis of numerical schemes for semiconductor energy-transport models ⋮ Existence analysis of a degenerate diffusion system for heat-conducting gases ⋮ Numerical analysis of DDFV schemes for semiconductors energy-transport models ⋮ A solution to the simplified multi-dimensional energy-transport model with a general conductivity for semiconductors

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