A simplified quantum energy-transport model for semiconductors

DOI10.1016/j.nonrwa.2010.08.026zbMath1206.35152OpenAlexW2008084049MaRDI QIDQ619731

Ansgar Jüngel, Josipa Pina Milisic

Publication date: 18 January 2011

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2010.08.026

zbMATH Keywords

periodic boundary conditionselliptic-parabolic systemglobal weak solutionscentral finite differencesfixed-point argumentparabolic nonlinear fourth-order equationsmall-velocity regime

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Initial-boundary value problems for higher-order parabolic equations (35K35) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear parabolic equations (35K59)

Related Items

Existence of classical solutions to a stationary simplified quantum energy-transport model in 1-dimensional space ⋮ Relaxation-time limits of global solutions in full quantum hydrodynamic model for semiconductors.

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