Dynamics of the quintic wave equation with nonlocal weak damping
This article presents a new scheme for studying the dynamics of a quintic wave equation with nonlocal weak damping in a 3D smooth bounded domain. As an application, the existence and structure of weak, strong, and exponential attractors for the solution semigroup of this equation are obtained. The investigation sheds light on the well-posedness and long-term behavior of nonlinear dissipative evolution equations with nonlinear damping and critical nonlinearity.
Authors
- Feng Zhou (ORCID: https://orcid.org/0000-0003-1897-5677)
- Kaixuan Zhu (ORCID: https://orcid.org/0000-0001-8578-6441)
- Hong-Fang Li (ORCID: https://orcid.org/0000-0002-0560-348X)
Institutions
- Hunan University of Arts and Science (CN)
- China University of Petroleum, East China (CN)
Publication Details
- Journal
- Advances in Continuous and Discrete Models
- Published
- 2025-04-15
- DOI
- https://doi.org/10.1186/s13662-025-03944-6
- Citations
- 1
- Primary Topic
- Advanced Mathematical Physics Problems
- Type
- article
- Field-Weighted Citation Impact
- 3.69
Funders
- National Natural Science Foundation of China
- Natural Science Foundation of Hainan Province
- Natural Science Foundation of Shandong Province