Global Existence and Asymptotic Behavior of the Solution to 1-D Energy Transport Model for Semiconductors

Global Existence and Asymptotic Behavior of the Solution to 1-D Energy Transport Model for Semiconductors

Year:    2002

Journal of Partial Differential Equations, Vol. 15 (2002), Iss. 4 : pp. 81–95

Abstract

In this paper, we study the asymptotic behavior of global smooth solution to the initial boundary problem for the 1-D energy transport model in semiconductor science. We prove that the smooth solution of the problem converges to a stationary solution exponentially fast as t → ∞ when the initial data is a small perturbation of the stationary solution.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2002-JPDE-5463

Journal of Partial Differential Equations, Vol. 15 (2002), Iss. 4 : pp. 81–95

Published online:    2002-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    15

Keywords:    energy transport model