Work

Well-posedness and dynamics of wave equations with nonlinear damping and moving boundary

Year: 2024

Type: article

Abstract: We studied the longtime dynamical behavior of a wave equation with critical nonlinearity and nonlinear damping in an expanding domain. First, we employed the penalty approach to establish the local well-posedness of the weak solution. Subsequently, we illustrated energy dissipation and asymptotic compactness for both the penalized equations and the original equation. Lastly, we established the existence of pullback attractors for penalized equations and the original equation.

Source: Discrete and Continuous Dynamical Systems - B

DOI: 10.3934/dcdsb.2024104

Authors: Qingquan Chang, Dandan Li

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4401643126

FWCI: 0.32

Cites: 27

Cited by: 2

Related to: 10