Convergence rates to nonlinear diffusion waves for weak entropy solutions to p-system with damping

• 作 者: 朱长江
• 机 构: Laboratory of Nonlinear Analysis
• 出 处: 中国科学A辑
• 发表日期: 2004年期
• 关键词: weak entropy solution diffusion wave convergence rate vanishing viscosity method
• 基金项目: 教育部留学回国人员科研启动基金;国家自然科学基金

This paper studies the asymptotic behavior ofweak entropy solutions to the Cauchy problem of the so-called p-system with damping. The convergence rates to nonlinear diffusion waves for weak entropy solutions are obtained in L∞-norm or L2-norm. These convergence rates are the same to the decay rates of smooth solution obtained by Nishihara. They are proved by using the vanishing viscosity method and the elementary L2-energy method.