Asymptotic expansion of solutions to the drift-diffusion equation with fractional dissipation

被引：6

作者：

Yamamoto, Masakazu ^{[1
]}

Sugiyama, Yuusuke ^{[2
]}

机构：

[1] Niigata Univ, Grad Sch Sci & Technol, Niigata 9502181, Japan

[2] Tokyo Univ Sci, Dept Math, Tokyo 1628601, Japan

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2016年 / 141卷

关键词：

Drift-diffusion equation; Fractional dissipation; Large-time behavior; LARGE-TIME BEHAVIOR; GLOBAL WELL-POSEDNESS; PARABOLIC-SYSTEM; MAXIMUM PRINCIPLE; CHEMOTAXIS; EXISTENCE; DECAY; MODEL;

D O I：

10.1016/j.na.2016.03.021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The initial-value problem for the drift-diffusion equation arising from the model of semiconductor device simulations is studied. The dissipation on this equation is given by the fractional Laplacian (-Delta)(theta/2). Large-time behavior of solutions to the drift-diffusion equation with 0 < theta <= 1 is discussed. When theta > 1, large-time behavior of solutions is known. However, when 0 < theta <= 1, the perturbation methods used in the preceding works would not work. In this paper, the asymptotic expansion of solutions with high-order is derived. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：57 / 87

页数：31

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