Long-time dynamics of Kirchhoff equations with exponential nonlinearities

被引：2

作者：

Ma, Honglv ^{[1
]}

Chen, Biyue ^{[2
]}

Xie, Jun ^{[3
]}

机构：

[1] Southeast Univ Nanjing, Sch Math, Nanjing 211189, Peoples R China

[2] Nanjing Univ Nanjing, Dept Math, Nanjing 210093, Peoples R China

[3] Nanjing Xiaozhuang Univ Nanjing, Coll Elect Engn, Nanjing 211171, Peoples R China

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2020年 / 61卷 / 03期

关键词：

WAVE-EQUATIONS; ASYMPTOTIC STABILITY; GLOBAL-SOLUTIONS; ATTRACTORS;

D O I：

10.1063/1.5123387

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Our aim in this paper is to study the initial boundary problem for the two-dimensional Kirchhoff type wave equation with an exponentially growing source term. We first prove that the Kirchhoff wave model is globally well-posed in (H01(Omega)L infinity(Omega))xL2(Omega), which covers the case of degenerate stiffness coefficient, and then obtain that the semigroup generated by the problem has a global attractor in the corresponding phase space. We also point out that the above results are still true in the natural energy space H01(Omega)xL2(Omega). Published under license by AIP Publishing.

引用

页数：18

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