EXPONENTIAL DECAY FOR THE VISCOUS BIPOLAR QUANTUM HYDRODYNAMIC MODEL

• 作者: Guangwu Wang
• 来源期刊: 应用数学年刊：英文版
• 学科: 数学
• 关键词: 数学分析 数学理论 应用数学 函数
• 年，卷（期）: 2015,（3）
• 页码范围: 329-336
• 页数: 8页
• 分类号: O1

摘要

In this paper, we pay attention to the time-decay rate of the viscous bipolar quantum hydrodynamic(QHD) models for semiconductors. By applying the entropy method, we prove that the solution of the viscous bipolar QHD models tends to the equilibrium state at an exponential decay rate for the multi-dimensional cases. The arguments is based on a series of a priori estimates.