On periodic solutions of the Benjamin-Bona-Mahony-Burgers equation
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866917029055823872 |
|---|---|
| author | Lau, Chun Ho Wang, Taige |
| author_facet | Lau, Chun Ho Wang, Taige |
| contents | In this paper, we would establish the existence and stability of periodic solutions to the Benjamin-Bona-Mahony-Burgers (BBM-Burgers) equation in $H^1_0([0, 1])$, whose medium interior is applied with time-periodic force $f(x, t)$ with period $θ$. High regularity analysis has been conducted in Hilbert spaces $H^\ell, \ell>1$. We also consider periodic solution to same IBVP scenario of a pseudo-parabolic-regularized equation as an extension of the BBM-Burgers in $\mathcal{H}^{\ell}, \ell=\{1, 2\}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_16162 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On periodic solutions of the Benjamin-Bona-Mahony-Burgers equation Lau, Chun Ho Wang, Taige Analysis of PDEs In this paper, we would establish the existence and stability of periodic solutions to the Benjamin-Bona-Mahony-Burgers (BBM-Burgers) equation in $H^1_0([0, 1])$, whose medium interior is applied with time-periodic force $f(x, t)$ with period $θ$. High regularity analysis has been conducted in Hilbert spaces $H^\ell, \ell>1$. We also consider periodic solution to same IBVP scenario of a pseudo-parabolic-regularized equation as an extension of the BBM-Burgers in $\mathcal{H}^{\ell}, \ell=\{1, 2\}$. |
| title | On periodic solutions of the Benjamin-Bona-Mahony-Burgers equation |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2510.16162 |