Reproduction of solutions in the plane problem on motion of a free-boundary fluid

被引:0
作者
E. A. Karabut
E. N. Zhuravleva
机构
[1] Russian Academy of Sciences,Lavrent’ev Institute of Hydrodynamics, Siberian Branch
[2] Novosibirsk State University,undefined
来源
Doklady Physics | 2016年 / 61卷
关键词
D O I
暂无
中图分类号
学科分类号
摘要
This study is devoted to finding exact solutions of the plane unsteady problem on the motion of an ideal incompressible free-boundary fluid. A certain procedure of reproduction making it possible to obtain a two-parametrical family of new exact solutions from one known solution is proposed.
引用
收藏
页码:347 / 350
页数:3
相关论文
共 50 条
[21]   A HYDRODYNAMICS PROBLEM WITH A FREE-BOUNDARY [J].
PEREVOZCHIKOV, AG .
DIFFERENTIAL EQUATIONS, 1987, 23 (12) :1422-1427
[22]   ON THE GEOMETRIC FORM OF SOLUTIONS OF A FREE-BOUNDARY PROBLEM INVOLVING GALVANIZATION [J].
ACKER, A .
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 1987, 9 (01) :99-104
[23]   REMARK ON A FREE-BOUNDARY PROBLEM [J].
TATSIEN, L .
COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1979, 289 (02) :99-102
[24]   A FREE-BOUNDARY FOCUSING PROBLEM [J].
HILHORST, D ;
HULSHOF, J .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1994, 121 (04) :1193-1202
[25]   ON A FREE-BOUNDARY PROBLEM IN ELECTROSTATICS [J].
PHILIPPIN, GA .
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 1990, 12 (05) :387-392
[26]   ON AN EVOLOTION PROBLEM WITH FREE-BOUNDARY [J].
SACCON, C .
HOUSTON JOURNAL OF MATHEMATICS, 1990, 16 (01) :87-120
[27]   A FREE-BOUNDARY PROBLEM IN AN ANNULUS [J].
TEPPER, DE .
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 1983, 34 (APR) :177-181
[28]   PERTURBATION IN A FREE-BOUNDARY PROBLEM [J].
BOUCHERIF, A ;
BOUGUIMA, M .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1994, 185 (02) :430-437
[29]   ON AN ELLIPTIC PROBLEM WITH FREE-BOUNDARY [J].
DANILYUK, II .
RUSSIAN MATHEMATICAL SURVEYS, 1985, 40 (04) :173-174