Roll waves in an annular channel

被引：0
|
作者：
M. A. Istomina
E. V. Yushkov
机构：
[1] Russian Academy of Sciences,Keldysh Institute of Applied Mathematics
[2] Moscow State University,Faculty of Physics
来源：
Computational Mathematics and Mathematical Physics | 2014年 / 54卷
关键词：
annular channel; shallow water equations; solitary waves; regularized model; existence of periodic solutions;
D O I：
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中图分类号：
学科分类号：
摘要：
The goal of this study is to analytically construct periodic wind perturbations in an annular channel that are numerically produced by a regularized model. R. Dressler’s technique in the shallow water approximation is used to prove the nonexistence of smooth periodic solutions, and discontinuous solutions related to roll waves on inclined surfaces are constructed. The constraints on the accelerating and dissipating forces are obtained under which periodic solutions can exist. A numerical analysis of the problem is carried out, and a qualitative comparison of the numerical and theoretical results is presented.
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页码：123 / 134
页数：11
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