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Global Existence and Asymptotic Behavior of the Solution to 1-D Energy Transport Model for Semiconductors
Authors:Yong Li &  Li Chen
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.
Keywords:energy transport model                                                                                                energy estimate                                                                                                global existence                                                                                                asymptotic behavior
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