Long-term behavior for wave equation with nonlinear damping and super-cubic nonlinearity
Analysis of PDEs
2025-02-18 v1 Dynamical Systems
Abstract
In this paper, we consider the semilinear wave equation involving the nonlinear damping term and nonlinearity . The well-posedness of the weak solution satisfying some additional regularity is achieved under the wider ranges of the exponents and . Moreover, the existence of global attractor and exponential attractor are proved.
Cite
@article{arxiv.2502.10774,
title = {Long-term behavior for wave equation with nonlinear damping and super-cubic nonlinearity},
author = {Cuncai Liu and Fengjuan Meng and Chang Zhang},
journal= {arXiv preprint arXiv:2502.10774},
year = {2025}
}