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Article information
2000 , Volume 5, ¹ 1, p.85-92
Maltseva J.L.
On asymptotic properties of internal solitary waves in two-layer fluids
A stationary internal wave problem in a two-layer inviscid incompressible fluid is considered. The algorithm of the uniform asymptotic construction for the solution of Euler equations as a solitary wave with a flat top, in limiting case transformed to a bore, has been developed. The theorem on the existence of the exact solution of motion equations in the class of analytic functions is given.
[full text] Classificator Msc2000:- *76B03 Existence, uniqueness, and regularity theory
- 76B25 Solitary waves
- 76B55 Internal waves
- 76M45 Asymptotic methods, singular perturbations
Keywords: asymptotic solution, plane irrotational stationary flow, stationary internal wave, two-layer inviscid incompressible fluid, Euler equations, solitary wave, bore, existence, analytic functions
Author(s):
Maltseva J L
Address: 630090, Russia, Novosibirsk
Phone Office: (3832)333199
E-mail: maltseva@hydro.nsc.ru
Bibliography link:
Maltseva J.L. On asymptotic properties of internal solitary waves in two-layer fluids // Computational technologies. 2000. V. 5. ¹ 1. P. 85-92
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