Best asymptotic profile for linear damped p-system with boundary effect
Best asymptotic profile for linear damped p-system with boundary effect
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DOI：
10.1016/j.jde.2010.04.008
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发表时间：
2010-07
影响因子：
2.4
通讯作者：
Hongfang Ma;Ming Mei;Ming Mei
中科院分区：
文献类型：
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作者：
Hongfang Ma;Ming Mei;Ming Mei
本文研究了具有边界效应的2×2线性阻尼p-系统。通过启发式分析，我们认识到原始解的最佳渐近轮廓是相应的多孔介质方程的IBVP的抛物型解与指定的初始数据。特别地，我们进一步证明了原解到其最佳渐近轮廓的收敛速度，这比以前的作品中获得的现有速度要好得多。本文采用初等加权能量法和绿色函数法相结合的方法。
This paper is devoted to the study of the 2×2 linear damped p-system with boundary effect. By a heuristic analysis, we realize that the best asymptotic profile for the original solution is the parabolic solution of the IBVP for the corresponding porous media equation with a specified initial data. In particular, we further show the convergence rates of the original solution to its best asymptotic profile, which are much better than the existing rates obtained in the previous works. The approach adopted in the paper is the elementary weighted energy method with Green function method together.