Asymptotic stability of the stationary solution for a new mathematical model of charge transport in semiconductors

DOI10.1090/S0033-569X-2012-01251-7zbMath1243.35017OpenAlexW1977931704MaRDI QIDQ2892174

D. L. Tkachev, Alexander Blokhin

Publication date: 18 June 2012

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0033-569x-2012-01251-7

zbMATH Keywords

Schauder fixed-point theoremhydrodynamical modelstabilization methodinitial boundary value problemsystem of quasilinear equationsnon-Cauchy-Kovalevskaya-type systemlocal- and global-in-time solvabilitymetal semiconductor field effect transistorweakened solution

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Statistical mechanics of semiconductors (82D37) Weak solutions to PDEs (35D30) Initial-boundary value problems for systems of nonlinear higher-order PDEs (35G61)

Related Items (2)

Majorant sign of the first order for totally global solvability of a controlled functional operator equation ⋮ On preservation of global solvability of controlled second kind operator equation

Cites Work

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