caa a22 4500 47583982X CHVBK 20180406123858.0 cr unu---uuuuu 170329e20001101xx s 000 0 eng 10.1023/A:1004708310966 doi (NATIONALLICENCE)springer-10.1023/A:1004708310966 Nonlinear capillary-gravity waves under an edge condition [Elektronische Daten] [C.C. Chang, M.C. Shen] The objective of this paper is to investigate the forced motion of nonlinear capillary-gravity waves in a waterfilled circular basin by a harmonic vibration applied to its side wall under Evans's or Hocking's edge condition at a contact line. The forcing frequency is near a resonance frequency under the classical edge condition of the basin. Two complex-amplitude equations for the excited eigenmode at the resonance frequency corresponding to these two edge conditions are derived. The solutions to these equations display quite different behavior and an edge condition indeed has a great influence on the excited surface waves. Kluwer Academic Publishers, 2000 capillary-gravity waves nationallicence edge conditions nationallicence resonance frequency nationallicence eigenmode nationallicence amplitude equations nationallicence Chang C.C. Department of Mathematics, University of Wisconsin, 53706, Madison, WI, USA aut Shen M.C. Department of Mathematics, University of Wisconsin, 53706, Madison, WI, USA aut Journal of Engineering Mathematics Kluwer Academic Publishers 38/4(2000-11-01), 391-402 0022-0833 38:4<391 2000 38 10665 https://doi.org/10.1023/A:1004708310966 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1023/A:1004708310966 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Chang C.C. Department of Mathematics, University of Wisconsin, 53706, Madison, WI, USA aut NATIONALLICENCE 700 1- Shen M.C. Department of Mathematics, University of Wisconsin, 53706, Madison, WI, USA aut NATIONALLICENCE 773 0- Journal of Engineering Mathematics Kluwer Academic Publishers 38/4(2000-11-01), 391-402 0022-0833 38:4<391 2000 38 10665 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer