Fractal dimension of global attractors for a Kirchhoff wave equation with a strong damping and a memory term

被引：1

作者：

Qin, Yuming ^{[1
,2
]}

Wang, Hongli ^{[1
]}

Bin Yang ^{[3
]}

机构：

[1] Donghua Univ, Dept Math, Shanghai 201620, Peoples R China

[2] Donghua Univ, Insitute Nonlinear Sci, Shanghai 201620, Peoples R China

[3] Donghua Univ, Coll Informat Sci & Technol, Shanghai 201620, Peoples R China

来源：

ASYMPTOTIC ANALYSIS | 2024年 / 137卷 / 1-2期

关键词：

Fractal dimension; subcritical case; Kirchhoff wave equation; global attractor; stabilizability inequality; HYPERBOLIC EQUATION; EXISTENCE; BEHAVIOR;

D O I：

10.3233/ASY-231881

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the dimension of the global attractors for a time-dependent strongly damped subcritical Kirchhoff wave equation with a memory term. A careful analysis is required in the proof of a stabilizability inequality. The main result establishes the finite dimensionality of the global attractor.

引用

页码：85 / 95

页数：11

共 21 条

[1]

[Anonymous], 1990, Funkcialaj Ekvacioj

[2]

Chueshov I, 2010, SPRINGER MONOGR MATH, P1, DOI 10.1007/978-0-387-87712-9

[3] Long-time dynamics of Kirchhoff wave models with strong nonlinear damping [J].

Chueshov, Igor .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2012, 252 (02) :1229-1262

[4] THE DAMPED ELASTIC STRETCHED STRING EQUATION GENERALIZED - EXISTENCE, UNIQUENESS, REGULARITY AND STABILITY [J].

DEBRITO, EH .

APPLICABLE ANALYSIS, 1982, 13 (03) :219-233

[5] ATTRACTORS OF THE STRONGLY DAMPED KIRCHHOFF WAVE EQUATION ON RN [J].

Ding, Pengyan ;

Yang, Zhijian .

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2019, 18 (02) :825-843

[6]

Ghisi M, 2004, ASYMPTOTIC ANAL, V40, P25

[7] Global attractors for a semilinear hyperbolic equation in viscoelasticity [J].

Giorgi, C ;

Rivera, JEM ;

Pata, V .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 260 (01) :83-99

[8] Long-time dynamics for a class of Kirchhoff models with memory [J].

Jorge Silva, Marcio Antonio ;

Ma, To Fu .

JOURNAL OF MATHEMATICAL PHYSICS, 2013, 54 (02)

[9]

Kirchhoff G, 1883, Vorlesungen uber mechanik

[10]

KouemouPatcheu S, 1997, COMMUN PART DIFF EQ, V22, P2007

← 1 2 3 →