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On the further generalization of trochoidal frontal waves

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Пре¶rt;лaгaеmся мо¶rt;ель mрохоu¶rt;aльных волн, коmорaь являеmся обобщенuем волн Герсmнерa u рaбоm[2–4] с mочкu зренuягеомеmрuu u кuнемamuческоŭ сmрукmуры мо¶rt;елu.

Summary

A non-linear model of trochoidal waves is presented which represents a geometrical and kinematical generalization of Gerstner's waves and of the results of[2–4].

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References

  1. F. Gerstner: Theorie der Wellen samt einer daraus abgeleiteten Theorie der Deichprofile. Abh. d. k. böhm. Ges. d. Wiss. zu Prag für das Jahr 1802.

  2. V. Vítek: A Two-layer Frontal Model Using the Modified Gerstner Concept. Studia geoph. et geod., 16 (1972), 177.

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  3. D. Novotná, V. Vítek: On One Generalization of Trochoidal Waves. Studia geoph. et geod., 21 (1977), 81.

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  4. J. Navrátil: On the Problem of Generalizing Gerstner's Trochoidal Waves in a Three-dimensional Case. Studia geoph. et geod., 19 (1975), 78.

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  5. V. Bjerknes, J. Bjerknes, H. Solberg, T. Bergeron: Hydrodynamique physique avec applications à la météorologie dynamique I. Les presses universitaires de France, Paris 1934, 66–67.

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Vítek, V. On the further generalization of trochoidal frontal waves. Stud Geophys Geod 29, 311–314 (1985). https://doi.org/10.1007/BF01638442

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