Long-time dynamics of Kirchhoff equations with exponential nonlinearities

被引：3
|
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.
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页数：18
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