A General Decay for a Weakly Nonlinearly Damped Porous System

被引：37
作者：
Apalara, Tijani A. [1 ]
机构：
[1] Univ Hafr Al Batin UoHB, Math Dept, Off King Abdul Aziz Rd,Route 50, Hafar al Batin 31991, Saudi Arabia
来源：
JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS | 2019年 / 25卷 / 03期
关键词：
Porous system; General decay; Nonlinear damping;
D O I：
10.1007/s10883-018-9407-x
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we consider a one-dimensional porous system damped with a single weakly nonlinear feedback. Without imposing any restrictive growth assumption near the origin on the damping term, we establish an explicit and general decay rate, using a multiplier method and some properties of convex functions in case of the same speed of propagation in the two equations of the system. The result is new and opens more research areas into porous-elastic system.
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收藏
页码：311 / 322
页数：12
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