Published February 2004
| Version v1
Journal article
Obtaining the analytical solutions of the Navier-Stokes equations for axis-symmetric and plane flows of a viscous incompressible liquid
Creators
- 1. RAN, Vychislitel'nyj Tsentr im. A.A. Dorodnitsyna, Moscow (Russian Federation)
Description
The solution of the Navier-Stokes equations with the Cauchy data makes it possible to obtain the previously unknown systems of the vortex formations in the liquid. The generalization of the Kovalevkaya theorem by the analytical data at the axis and the evaluation of the dimensions in the area of the solution analyticity is obtained. Such a study is accomplished also in the plane case, when the Kovalevskaya theorem holds true in its initial form and supplemented by the evaluation of dimensions in the analyticity area
Abstract (Russian)
Решение уравнений Навье-Стокса с данными Коши позволяет получить не известные до сих пор системы вихревых образований в жидкости. Проведено обобщение теоремы Ковалевской при аналитических данных на оси и получена оценка размеров области аналитичности решения. Подобное исследование выполнено и в плоском случае, когда теорема Ковалевской справедлива в ее исходном виде и дополнена оценкой размеров области аналитичностиAdditional details
Additional titles
- Original title (Russian)
- Получение аналитических решений уравнений Навье-Стокса для осесимметричных и плоских течений вязкой несжимаемой жидкости
Publishing Information
- Journal Title
- Doklady Akademii Nauk - Rossijskaya Akademiya Nauk
- Journal Volume
- 394
- Journal Issue
- 5
- Journal Page Range
- p. 626-630
- ISSN
- 0869-5652
- CODEN
- DAKNEQ
INIS
- Country of Publication
- Russian Federation
- Country of Input or Organization
- Russian Federation
- INIS RN
- 36100321
- Subject category
- S42: ENGINEERING;
- Descriptors DEI
- ANALYTICAL SOLUTION; AXIAL SYMMETRY; EVALUATION; INCOMPRESSIBLE FLOW; LIQUID FLOW; NAVIER-STOKES EQUATIONS; VISCOUS FLOW; VORTICES
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; FLUID FLOW; MATHEMATICAL SOLUTIONS; PARTIAL DIFFERENTIAL EQUATIONS; SYMMETRY
Optional Information
- Notes
- 6 refs., 1 fig.