The Asymptotic Behavior of Solutions of Two Problems of Dynamic of Exponentially Stratified Fluid

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This article is devoted to studying the components of solutions of two problems of dynamics. The problems describe the small fluctuations of the exponentially stratified and uniformly rotating fluid in the Cartesian system of coordinates (x1,x2,x3) rigidly connected with the rotating fluid. The fluid is stratified along the axis Ox3 coinciding with the axis of rotation: ρ0(x3) = Aexp(−2βx3), where β > 0 is a parameter of stratification. The asymptotics of the components of solution are constructed for both problems.

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A Glushko

Voronezh State University

Email: mail@angl.vrn.ru
Кафедра уравнений в частных производных и теории вероятностей; Воронежский государственный университет; Voronezh State University

E Sviridova

Voronezh State University

Email: slena13@mail.ru
Кафедра уравнений в частных производных и теории вероятностей; Воронежский государственный университет; Voronezh State University

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