DECAY OF SOLUTIONS FOR A DISSIPATIVE HIGHER-ORDER BOUSSINESQ SYSTEM ON A PERIODIC DOMAIN

被引：8

作者：

Bautista, George J. ^{[1
]}

Pazoto, Ademir F. ^{[2
]}

机构：

[1] Univ Privada Norte, Campus Brena,Av Tingo Maria 1122, Lima, Peru

[2] Univ Fed Rio de Janeiro, Inst Math, POB 68530, BR-21941909 Rio De Janeiro, RJ, Brazil

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2020年 / 19卷 / 02期

关键词：

Boussinesq system; generalized damping; stabilization; Fourier expansion; decay rate; NONLINEAR DISPERSIVE MEDIA; AMPLITUDE LONG WAVES; TIME BEHAVIOR; STABILIZATION; EQUATIONS;

D O I：

10.3934/cpaa.2020035

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we are concerned with a Boussinesq system for small-amplitude long waves arising in nonlinear dispersive media. Considerations will be given for the global well-posedness and the time decay rates of solutions when the model is posed on a periodic domain and a general class of damping operator acts in each equation. By means of spectral analysis and Fourier expansion, we prove that the solutions of the linearized system decay uniformly or not to zero, depending on the parameters of the damping operators. In the uniform decay case, the result is extended for the full system.

引用

页码：747 / 769

页数：23

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