Curved channels with constant cross sections may support trapped surface waves
Nazarov, Sergei A.; Ruotsalainen, Keijo M. (2023-07-01)
Nazarov, S.A., Ruotsalainen, K.M. Curved channels with constant cross sections may support trapped surface waves. Z. Angew. Math. Phys. 74, 149 (2023). https://doi.org/10.1007/s00033-023-02048-z
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https://urn.fi/URN:NBN:fi-fe20230823103635
Tiivistelmä
Abstract
Curved channels with constant cross sections are constructed which support a trapped surface wave. Since corresponding eigenvalues are embedded in the continuous spectrum of the water wave problem and therefore possess the natural instability, the construction procedure requires “fine-tuning” of several parameters in the (small) curvature of the channel as well as geometrical restrictions on the cross section. In particular, the mirror symmetry of the cross section with respect to the vertical axis disrupts the procedure, but examples of suitable non-symmetric cross sections are provided.
Kokoelmat
- Avoin saatavuus [37798]
