Asymptotics of linear water waves generated by a localized source near the focal points on the leading edge

Author:

Dobrokhotov S. Yu.,Nazaikinskii V. E.,Tolchennikov A. A.

Publisher

Pleiades Publishing Ltd

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference17 articles.

1. J. J. Stoker, Water Waves: The Mathematical Theory with Applications (John Wiley and Sons, New York, 1958 (reprinted in 1992)).

2. E. N. Pelinovskii, Hydrodynamics of the Tsunami Waves (IPF RAN, Nizhnii Novgorod, 1996) [in Russian].

3. S. Yu. Dobrokhotov, “Maslov’s methods in the linearized theory of gravitational waves on a fluid surface,” Dokl. Akad. Nauk SSSR 269 (1), 76–80 (1983) [Sov. Phys. Dokl. 28, 229-231 (1983)].

4. S. Yu. Dobrokhotov and P. N. Zhevandrov, “Nonstandard Characteristics and Maslov’s Operational Method in Linear Problems Concerning Unsteady Water Waves,” Funktional. Anal. i Prilozhen. 19 (4), 43–54 (1985) [Funct. Anal. Appl. 19 (4), 285–295 (1985)].

5. V. P. Maslov, “Non-standard characteristics in asymptotic problems,” Usp. Mat. Nauk 38 (6), 3–36 (1983) [Russ. Math.Surv. 38 (6), 1–42 (1983)].

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