Well-posedness and controllability of a nonlinear system for surface waves
In this paper we study the well-posedness for the periodic Cauchy problem and the internal controllability of a one-dimensional system that describes the propagation of long water waves with small amplitude in the presence of surface tension. The well-posedness is proved by using the Fourier transfo...
Elmentve itt :
| Szerzők: | |
|---|---|
| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2024
|
| Sorozat: | Electronic journal of qualitative theory of differential equations
|
| Kulcsszavak: | Differenciálegyenlet - nemlineáris - parciális |
| Tárgyszavak: | |
| doi: | 10.14232/ejqtde.2024.1.31 |
| Online Access: | http://acta.bibl.u-szeged.hu/88833 |
| Tartalmi kivonat: | In this paper we study the well-posedness for the periodic Cauchy problem and the internal controllability of a one-dimensional system that describes the propagation of long water waves with small amplitude in the presence of surface tension. The well-posedness is proved by using the Fourier transform restriction method and the controllability is proved by using the moment method. |
|---|---|
| Terjedelem/Fizikai jellemzők: | 40 |
| ISSN: | 1417-3875 |