A Nekhoroshev-Type Result for a Generalized Boussinesq Equation
In this paper, we consider a generalized Boussinesq equation with hinged boundary conditions. We first observe that the nonlinear terms possess a TAME structure and then prove a Nekhoroshev-type result, which implies that any solution with a small initial value remains small in a high-index Sobolev norm over a power long time.
Authors
- Shunjun Jiang (ORCID: https://orcid.org/0000-0001-5833-8440)
- Xinyi Chen (ORCID: https://orcid.org/0000-0003-3321-2483)
Institutions
- Nanjing Tech University (CN)
Publication Details
- Journal
- Mathematics
- Published
- 2025-12-12
- DOI
- https://doi.org/10.3390/math13243955
- Primary Topic
- Advanced Mathematical Physics Problems
- Type
- article
- Field-Weighted Citation Impact
- 0.00