Work

Time-dependent global attractor for the wave equation with nonlinear damping in locally uniform space

Year: 2025

Type: article

Abstract: This paper is dedicated to analyzing the dynamical behavior of the wave equations with nonlinear damping in unbounded domain. First, the well-posedness of the equation is proved in the locally uniform spaces framework. Then, the asymptotical compactness is established by applying the contractive function method. Finally, the existence of $ ({H}_{lu}^1(\mathbb{R}^3) \times{ L}_{lu}^2(\mathbb{R}^3), H_{\rho}^1(\mathbb{R}^3) \times L_{\rho}^2(\mathbb{R}^3)) $-time-dependent global attractor is obtained.

Source: Discrete and Continuous Dynamical Systems - B

DOI: 10.3934/dcdsb.2025155

Authors: Fengjuan Meng, Lixin Zhou, Cuncai Liu

Institutions: Jiangsu University of Technology, Suzhou University of Science and Technology

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: diamond

Funders: National Natural Science Foundation of China, Government of Jiangsu Province

Awards: G5260897452, G5408584767, G7510927272, G7720513663