2015 / December Volume 10 No.4
Existence and Stability of Time-periodic Solutions to the Drift-diffusion Model for Semiconductors
Published Date |
2015 / December
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Title | Existence and Stability of Time-periodic Solutions to the Drift-diffusion Model for Semiconductors |
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Pagination | 615-638 |
Abstract | We study the existence and the asymptotic stability of time-periodic solutions to the driftdiffusion model for semiconductors. If alternating-current voltage is applied to PN-junction diodes, a time-periodic current flow is observed. The main purpose of the present paper is mathematical analysis on this periodic flow. We construct a time-periodic solution by utilizing the Galerkin method. The solution is unique in a neighborhood of a thermal equilibrium, and it is globally stable. Proofs of the uniqueness and the stability are based on the energy method
employing an energy form.
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AMS Subject Classification |
35B10; 35B35; 35B40; 82D37
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Received |
2015-06-17
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Accepted |
2015-06-16
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