Stability of steady state solutions for an isentropic hydrodynamic model of semiconductors of two species (Q1582635)
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scientific article; zbMATH DE number 1517164
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stability of steady state solutions for an isentropic hydrodynamic model of semiconductors of two species |
scientific article; zbMATH DE number 1517164 |
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Stability of steady state solutions for an isentropic hydrodynamic model of semiconductors of two species (English)
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12 December 2001
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A \((1+ 1)\)-dimensional \(4\times 4\)-system of nonlinear first-order evolution equations is considered as a model for the dynamics of electrons and holes in a semiconductor. The nonlinear lower-order term models recombination-generation and a nonlocal term models the influence of the doping profile. The authors are concerned with the question of asymptotic stability of the steady state solution of this system for which the paper gives a positive answer provided the doping profile deviates not too much from zero.
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semiconductor
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hydrodynamic model
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dynamics of electrons and holes in a semiconductor
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asymptotic stability
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steady state solution
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