Global existence and uniform decay of solutions for a system of wave equations with dispersive and dissipative terms

被引：11
作者：
Liu, Wenjun [1 ,2 ]
机构：
[1] Nanjing Univ Informat Sci & Technol, Coll Math & Phys, Nanjing 210044, Peoples R China
[2] Southeast Univ, Dept Math, Nanjing 210096, Peoples R China
来源：
FRONTIERS OF MATHEMATICS IN CHINA | 2010年 / 5卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Global existence; uniform decay; dispersive; dissipative; BLOW-UP; NONEXISTENCE THEOREMS; EVOLUTION-EQUATIONS; STABILITY;
D O I：
10.1007/s11464-010-0060-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we consider a system of two coupled wave equations with dispersive and viscosity dissipative terms under Dirichlet boundary conditions. The global existence of weak solutions as well as uniform decay rates (exponential one) of the solution energy are established.
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页码：555 / 574
页数：20
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