Global existence analysis for degenerate energy-transport models for semiconductors

DOI10.1016/j.jde.2014.12.007zbMath1357.35182arXiv1310.3377OpenAlexW2964020225MaRDI QIDQ2256002

Nicola Zamponi, Ansgar Jüngel

Publication date: 18 February 2015

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.3377

zbMATH Keywords

semiconductorsglobal existence of solutionsenergy-transport equationsalgebraic equilibration rateStampacchia truncation

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) Statistical mechanics of semiconductors (82D37) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (9)

A cross-diffusion system derived from a Fokker-Planck equation with partial averaging ⋮ On a cross-diffusion model for multiple species with nonlocal interaction and size exclusion ⋮ Energy-transport systems for optical lattices: Derivation, analysis, simulation ⋮ Numerical Schemes for Semiconductors Energy-Transport Models ⋮ Analysis of numerical schemes for semiconductor energy-transport models ⋮ Existence analysis of a degenerate diffusion system for heat-conducting gases ⋮ The 3D transient semiconductor equations with gradient-dependent and interfacial recombination ⋮ 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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