Work

Attractors of a thermoelastic Bresse system with mass diffusion

Year: 2024

Type: article

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.

Source: ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik

DOI: 10.1002/zamm.202300502

Authors: Haiyan Li, Victor R. Cabanillas, Baowei Feng

Institutions: North Minzu University, National University of San Marcos, Universidad de Lima, Southwestern University of Finance and Economics

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funder: Fundamental Research Funds for the Central Universities

Award: G7572630725