Nonlinear dynamics of short traveling capillary-gravity waves
We establish a Green-Nagdhi model equation for capillary-gravity waves in (2+1) dimensions. Through the derivation of an asymptotic equation governing short-wave dynamics, we show that this system possesses (1 + 1) traveling-wave solutions for almost all the values of the Bond number θ (the special...
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2005
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| Acceso en línea: | Registro en Scopus DOI Handle Registro en la Biblioteca Digital |
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| LEADER | 05202caa a22008177a 4500 | ||
|---|---|---|---|
| 001 | PAPER-4242 | ||
| 003 | AR-BaUEN | ||
| 005 | 20241023085056.0 | ||
| 008 | 190411s2005 xx ||||fo|||| 00| 0 eng|d | ||
| 024 | 7 | |2 scopus |a 2-s2.0-41349092357 | |
| 030 | |a PLEEE | ||
| 040 | |a Scopus |b spa |c AR-BaUEN |d AR-BaUEN | ||
| 100 | 1 | |a Borzi, Carlos Humberto | |
| 245 | 1 | 0 | |a Nonlinear dynamics of short traveling capillary-gravity waves |
| 260 | |c 2005 | ||
| 270 | 1 | 0 | |m Borzi, C.H.; Fac. de Ciencias Exactas y Naturales, Universidad National de Buenos Aires, Pab. II, Nuñez, Buenos Aires, Argentina |
| 504 | |a Whitham, G.B., (1974) Linear and Nonlinear Waves, , Wiley Interscience, New York | ||
| 504 | |a Dodd, R.K., Eilbeck, J.C., Gibbon, J.D., Morris, H.C., (1982) Solitons and Nonlinear Wave Equations, , Academic Press, London | ||
| 504 | |a Infeld, E., Rowlands, G., (1990) Nonlinear Waves, Solitons and Chaos, , Cambridge University Press, Cambridge | ||
| 504 | |a Peregrine, D.H., (1966) J. Fluid Mech., 25 (PART 2), p. 321 | ||
| 504 | |a Benjamin, T.B., Bona, J.L., Mahony, J.J., (1972) Philos. Trans. R. Soc. London, Ser. A, 272, p. 47 | ||
| 504 | |a Green, A.E., Laws, N., Nagdhi, P.M., (1974) Proc. R. Soc. London, Ser. A, 338, p. 43 | ||
| 504 | |a Green, A.E., Nagdhi, P.M., (1976) J. Fluid Mech., 78, p. 237 | ||
| 504 | |a Green, A.E., Nagdhi, P.M., (1976) Proc. R. Soc. London, Ser. A, 347, p. 447 | ||
| 504 | |a Manna, M.A., Merle, V., (1998) Proc. R. Soc. London, Ser. A, 454, p. 1445 | ||
| 504 | |a Manna, M.A., (2001) J. Phys. A, 34, p. 4475 | ||
| 504 | |a Gama, S.M., Kraenkel, R.A., Manna, M.A., Probl, I., (2001), 17, p. 863; M. W. Dingemans, Report No. R 729-H, Delft Hydr. Lab, Delft, The Netherlands (1973); Broer, J.P., (1976) Appl. Sci. Res., 32, p. 619 | ||
| 504 | |a Van Der Houwen, P., Mooiman, P.J., Wuls, F.W., (1991) Int. J. Numer. Methods Fluids, 13 (10), p. 1235 | ||
| 504 | |a Katopodes, N.D., Sanders, B.F., Boyd, J.P., Waterw, J., (1998) Port, Coastal, Ocean Eng., 124, p. 5 | ||
| 504 | |a (1998) Port, Coastal, Ocean Eng., 124, p. 238 | ||
| 504 | |a Manna, M.A., Merle, V., (1998) Phys. Rev. E, 57, p. 6206 | ||
| 504 | |a Kraenkel, R.A., Manna, M.A., Merle, V., (1999) Phys. Rev. E, 60, p. 2418 | ||
| 504 | |a Van Dyke, M., (1997) An Album of Fluid Motion, , The Parabolic Press, Stanford, CA | ||
| 504 | |a Benjamin, T.B., (1982) Q. Appl. Math., 39, p. 231 | ||
| 504 | |a Hunter, J.K., Vanden-Broeck, J.-M., (1983) J. Fluid Mech., 134, p. 205 | ||
| 504 | |a Benjamin, T.B., Feir, J.E., (1967) J. Fluid Mech., 27, p. 417 | ||
| 504 | |a Stuart, J.T., Di Prima, R.C., (1978) Proc. R. Soc. London, Ser. A, 362, p. 27 | ||
| 504 | |a M.A. Manna and A. Neveu, e-print physics/0303085 (unpublished) | ||
| 506 | |2 openaire |e Política editorial | ||
| 520 | 3 | |a We establish a Green-Nagdhi model equation for capillary-gravity waves in (2+1) dimensions. Through the derivation of an asymptotic equation governing short-wave dynamics, we show that this system possesses (1 + 1) traveling-wave solutions for almost all the values of the Bond number θ (the special case θ=1/3 is not studied). These waves become singular when their amplitude is larger than a threshold value, related to the velocity of the wave. The limit angle at the crest is then calculated. The stability of a wave train is also studied via a Benjamin-Feir modulational analysis. ©2005 The American Physical Society. |l eng | |
| 593 | |a Fac. de Ciencias Exactas y Naturales, Universidad National de Buenos Aires, Pab. II, Nuñez, Buenos Aires, Argentina | ||
| 593 | |a Inst. de Fis. Teórica, UNESP, Rua Pamplona 145, 01405-900 São Paulo, Brazil | ||
| 593 | |a Phys. Math. et Théorique, CNRS-UMR5825, Université Montpellier II, 34095 Montpellier, France | ||
| 690 | 1 | 0 | |a CHIRAL |
| 690 | 1 | 0 | |a DEFECT STRUCTURES |
| 690 | 1 | 0 | |a SPLAY |
| 690 | 1 | 0 | |a SUSPENDED FILMS |
| 690 | 1 | 0 | |a CRYSTAL DEFECTS |
| 690 | 1 | 0 | |a CRYSTAL ORIENTATION |
| 690 | 1 | 0 | |a DISTORTION (WAVES) |
| 690 | 1 | 0 | |a ELASTICITY |
| 690 | 1 | 0 | |a IONS |
| 690 | 1 | 0 | |a LAPLACE TRANSFORMS |
| 690 | 1 | 0 | |a LIGHT POLARIZATION |
| 690 | 1 | 0 | |a MATHEMATICAL MODELS |
| 690 | 1 | 0 | |a SUSPENSIONS (FLUIDS) |
| 690 | 1 | 0 | |a THIN FILMS |
| 690 | 1 | 0 | |a VISCOSITY OF LIQUIDS |
| 690 | 1 | 0 | |a SMECTIC LIQUID CRYSTALS |
| 700 | 1 | |a Kraenkel, R.A. | |
| 700 | 1 | |a Manna, M.A. | |
| 700 | 1 | |a Pereira, A. | |
| 773 | 0 | |d 2005 |g v. 71 |k n. 2 |p Phys. Rev. E Stat. Nonlinear Soft Matter Phys. |x 15393755 |t Physical Review E - Statistical, Nonlinear, and Soft Matter Physics | |
| 856 | 4 | 1 | |u https://www.scopus.com/inward/record.uri?eid=2-s2.0-41349092357&doi=10.1103%2fPhysRevE.71.026307&partnerID=40&md5=bf2cbe184484872888d72212830ee1f4 |y Registro en Scopus |
| 856 | 4 | 0 | |u https://doi.org/10.1103/PhysRevE.71.026307 |y DOI |
| 856 | 4 | 0 | |u https://hdl.handle.net/20.500.12110/paper_15393755_v71_n2_p_Borzi |y Handle |
| 856 | 4 | 0 | |u https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v71_n2_p_Borzi |y Registro en la Biblioteca Digital |
| 961 | |a paper_15393755_v71_n2_p_Borzi |b paper |c PE | ||
| 962 | |a info:eu-repo/semantics/article |a info:ar-repo/semantics/artículo |b info:eu-repo/semantics/publishedVersion | ||
| 963 | |a VARI | ||
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