Global Well‐Posedness and Energy Decay for a Nonlinear Viscoelastic Beam Equation With Nonlocal Energy Damping and Memory
ABSTRACT This paper investigates a nonlinear viscoelastic equation with nonlocal energy damping and memory. The global well‐posedness and the decay of the energy are got by Faedo–Galërkin method, energy method, and Legendre transformation.
Authors
- Jun Zhou (ORCID: https://orcid.org/0000-0003-0674-9154)
- Ruigang Fu (ORCID: https://orcid.org/0000-0002-1279-0615)
Institutions
- Southwest University (CN)
Publication Details
- Journal
- Mathematical Methods in the Applied Sciences
- Published
- 2025-04-13
- DOI
- https://doi.org/10.1002/mma.10969
- Primary Topic
- Stability and Controllability of Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Southwest University