Uniform Formulas for the Asymptotic Solution of a Linear Pseudodifferential Equation Describing Water Waves Generated by a Localized Source

Uniform Formulas for the Asymptotic Solution of a Linear Pseudodifferential Equation Describing Water Waves Generated by a Localized Source

We consider the Cauchy problem with localized initial data for a linear pseudodifferential equation describing water waves with dispersion taken into account and obtain a uniform asymptotic solution in a neighborhood of regular points of the wave front, the size of the neighborhood being independent...

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Veröffentlicht in:Russian journal of mathematical physics 2020-04, Vol.27 (2), p.185-191
Hauptverfasser: Dobrokhotov, S. Yu, Nazaikinskii, V. E., Tolchennikov, A. A.
Format: Artikel
Sprache:eng
Schlagworte:
Asymptotic methods
Cauchy problems
Design events
Mathematical and Computational Physics
Physics
Physics and Astronomy
Theoretical
Water waves
Wave fronts
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Beschreibung
Zusammenfassung:We consider the Cauchy problem with localized initial data for a linear pseudodifferential equation describing water waves with dispersion taken into account and obtain a uniform asymptotic solution in a neighborhood of regular points of the wave front, the size of the neighborhood being independent of the small parameters occurring in the problem.
ISSN:1061-9208
1555-6638
DOI:10.1134/S1061920820020041