Attractors of a thermoelastic Bresse system with mass diffusion
Abstract This paper concerns the long‐time dynamics of a thermoelastic Bresse system with mass diffusion. We prove the existence of a global attractor by showing that the system is gradient and asymptotically smooth. In addition, the attractor is characterized as an unstable manifold of the set of stationary solutions. The quasi‐stability of the system and the finite fractal dimension of the global attractor are established by a stabilizability inequality. Finally, we prove the upper semicontinuity of the global attractor regarding the parameter in a dense residual set.
Authors
- Baowei Feng (ORCID: https://orcid.org/0000-0003-4507-8170)
- Victor R. Cabanillas (ORCID: https://orcid.org/0000-0003-2325-8824)
- Haiyan Li (ORCID: https://orcid.org/0000-0001-9426-7395)
Institutions
- National University of San Marcos (PE)
- Universidad de Lima (PE)
- Southwestern University of Finance and Economics (CN)
- North Minzu University (CN)
Publication Details
- Journal
- ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
- Published
- 2024-08-12
- DOI
- https://doi.org/10.1002/zamm.202300502
- Citations
- 2
- Primary Topic
- Stability and Controllability of Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 0.66
Funders
- Fundamental Research Funds for the Central Universities