Existence of weak solutions to a class of degenerate semiconductor equations modeling avalanche generation (Q1036483)
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scientific article; zbMATH DE number 5632554
| Language | Label | Description | Also known as |
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| English | Existence of weak solutions to a class of degenerate semiconductor equations modeling avalanche generation |
scientific article; zbMATH DE number 5632554 |
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Existence of weak solutions to a class of degenerate semiconductor equations modeling avalanche generation (English)
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13 November 2009
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Summary: We consider the drift-diffusion model with avalanche generation for evolution in time of electron and hole densities \(n, p\) coupled with the electrostatic potential \(\psi \) in a semiconductor device. We also assume that the diffusion term is degenerate. The existence of local weak solutions to this Dirichlet-Neumann mixed boundary value problem is obtained.
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degenerate semiconductor equation
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avalanche generation
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drift-diffusion model
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weak solutions
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0.96260744
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0.95916647
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