Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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Global existence and asymptotic behavior to the solutions of 1-D Lyumkis energy transport model for semiconductors


Authors: Li Chen, Ling Hsiao and Yong Li
Journal: Quart. Appl. Math. 62 (2004), 337-358
MSC: Primary 82D37; Secondary 35K55, 35K65, 76X05
DOI: https://doi.org/10.1090/qam/2054603
MathSciNet review: MR2054603
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Abstract: The global existence and asymptotic behavior of smooth solutions to the initial-boundary value problem for the 1-D Lyumkis energy transport model in semiconductor science is studied. When the boundary is insulated, the smooth solution of the problem converges to a stationary solution of the drift diffusion equations, exponentially fast as $ t \to \infty $.


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DOI: https://doi.org/10.1090/qam/2054603
Article copyright: © Copyright 2004 American Mathematical Society


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