Asymptotic Behavior of Solutions to the Drift-Diffusion Equation with Critical Dissipation

被引：3

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 Sci, Tokyo 1628601, Japan

来源：

ANNALES HENRI POINCARE | 2016年 / 17卷 / 06期

关键词：

LARGE-TIME BEHAVIOR; QUASI-GEOSTROPHIC EQUATIONS; ANOMALOUS DIFFUSION; MAXIMUM PRINCIPLE; SYSTEM; EXISTENCE;

D O I：

10.1007/s00023-015-0428-7

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, the initial value problem for the drift-diffusion equation which stands for a model of a semiconductor device is studied. When the dissipative effect on the drift-diffusion equation is given by the half Laplacian, the dissipation balances to the extra force term. This case is called critical. The goal of this paper is to derive decay and asymptotic expansion of the solution to the drift-diffusion equation as time variable tends to infinity.

引用

页码：1331 / 1352

页数：22

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