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Unsteady waves in a stratified fluid that are excited by a change in the normal velocity component on a curvilinear segmentстатья
Дата последнего поиска статьи во внешних источниках: 28 мая 2015 г.
- Авторы: Korpusov M.O., Pletner Yu D., Sveshnikov A.G.
- Журнал: Computational Mathematics and Mathematical Physics
- Том: 37
- Номер: 9
- Год издания: 1997
- Издательство: Pleiades Publishing, Ltd
- Местоположение издательства: Road Town, United Kingdom
- Первая страница: 1076
- Последняя страница: 1085
- Аннотация: The physical problem studied is closely related to that considered in another paper by the authors [Zh. Vychisl. Mat. Mat. Fiz. 37 (1997), no. 8, 968–974; MR1477145 (98m:76043); see the preceding review]. In that paper waves were due to a pressure distribution on a two-sided simple C1,λ-arc Γ (λ>0) of finite length immersed in an exponentially stratified fluid, whilst different distributions of normal velocity on each side of Γ produce waves in the present work. To deal with the new boundary conditions the authors describe fluid motion in terms of stream function and pressure instead of the velocity potential. This leads to a different partial differential equation of the same type as in the previous paper. A novelty is that the equation is supplemented by an auxiliary relationship, which is essential in the proof of uniqueness theorem. One has a similar situation in the two-dimensional exterior Neumann problem for the Laplace equation. In the same way as in the previous paper techniques based on the so-called angular potentials allow one to prove the solvability theorem by analysing a system of two integral equations.
- Добавил в систему: Корпусов Максим Олегович