Energy decay of solutions of nonlinear viscoelastic problem with the dynamic and acoustic boundary conditions

被引：2

作者：

Lee, Mi Jin ^{[1
]}

Park, Jong Yeoul ^{[1
]}

机构：

[1] Pusan Natl Univ, Dept Math, Busan 609735, South Korea

来源：

BOUNDARY VALUE PROBLEMS | 2018年

基金：

新加坡国家研究基金会;

关键词：

general decay rate; viscoelastic wave equation; time-varying delay; acoustic boundary conditions; dynamic boundary; TIME-VARYING DELAY; WAVE-EQUATION; GENERAL DECAY; VARIABLE-COEFFICIENTS; ASYMPTOTIC STABILITY; EXISTENCE;

D O I：

10.1186/s13661-017-0918-2

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 the energy decay rate of the nonlinear viscoelastic problem with dynamic and acoustic boundary conditions.

引用

页数：26

共 36 条

[1]

[Anonymous], 2013, Mathematical methods of classical mechanics

[2]

[Anonymous], 1993, DIFFER INTEGR EQUATI

[3] ACOUSTIC BOUNDARY-CONDITIONS [J].

BEALE, JT ;

ROSENCRA.SI .

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 80 (06) :1276-1278

[4] Global existence and energy decay of solutions for the wave equation with a time varying delay term in the weakly nonlinear internal feedbacks [J].

Benaissa, Abbes ;

Benaissa, Abdelkader ;

Messaoudi, Salim. A. .

JOURNAL OF MATHEMATICAL PHYSICS, 2012, 53 (12)

[5]

Berrimi S, 2004, ELECTRON J DIFFER EQ

[6] Existence and decay of solutions for a viscoelastic wave equation with acoustic boundary conditions [J].

Boukhatem, Yamna ;

Benabderrahmane, Benyattou .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2014, 97 :191-209

[7]

Cavalcanti M.M., 2001, Diff. Integ. Eqs, V14, P85

[8] Uniform stabilization of the damped Cauchy-Ventcel problem with variable coefficients and dynamic boundary conditions [J].

Cavalcanti, Marcelo M. ;

Khemmoudj, Ammar ;

Medjden, Mohamed .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 328 (02) :900-930

[9]

Cavalcanti MM, 2002, ELECTRON J DIFFER EQ

[10] Frictional versus viscoelastic damping in a semilinear wave equation [J].

Cavalcanti, MM ;

Oquendo, HP .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2003, 42 (04) :1310-1324

← 1 2 3 4 →