On the Variational Statement of One Boundary-Value Problem with Free Interface

被引：0

作者：

Timokha, Aleksander ^{[1
]}

机构：

[1] Natl Acad Sci Ukraine, Inst Math, Kiev, Ukraine

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2024年 / 75卷 / 08期

基金：

新加坡国家研究基金会;

关键词：

D O I：

10.1007/s11253-023-02260-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

With the help of Clebsch's potentials, we propose a Bateman-Luke-type variational principle for a boundary- value problem with a free (unknown) interface between two ideal compressible barotropic fluids (liquid and gas) admitting rotational flows.

引用

页码：1272 / 1277

页数：6

共 50 条

[1] On the Variational Statement of One Boundary-Value Problem with Free Interface
Aleksander Timokha
Ukrainian Mathematical Journal, 2024, 75 : 1272 - 1277
[2] ON ONE BOUNDARY-VALUE PROBLEM
ALIMOV, SA
DOKLADY AKADEMII NAUK SSSR, 1980, 252 (05): : 1033 - 1034
[3] FREE BOUNDARY-VALUE PROBLEM
SLOSS, JM
BRUCH, JC
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1974, 47 (02) : 424 - 440
[4] ON ONE PARABOLIC BOUNDARY-VALUE PROBLEM
MURAVEI, LA
FILINOVSKII, AV
DOKLADY AKADEMII NAUK SSSR, 1991, 317 (01): : 39 - 43
[5] VARIATIONAL FORMULATION OF BOUNDARY-VALUE PROBLEM OF GRAVITY POTENTIAL
NEDOMA, J
STUDIA GEOPHYSICA ET GEODAETICA, 1975, 19 (03) : 226 - 232
[6] ONE BOUNDARY-VALUE PROBLEM FOR HELMHOLTZ EQUATION
BITSADZE, AV
DOKLADY AKADEMII NAUK SSSR, 1978, 239 (06): : 1273 - 1275
[7] ON ONE BOUNDARY-VALUE PROBLEM FOR THE LAPLACE EQUATION
Martynenko, I. M.
JOURNAL OF ENGINEERING PHYSICS AND THERMOPHYSICS, 2007, 80 (02) : 420 - 424
[8] ONE BOUNDARY-VALUE PROBLEM IN THE THEORY OF FUNCTIONS
ZHURA, NA
DOKLADY AKADEMII NAUK SSSR, 1984, 276 (04): : 777 - 781
[9] ON ONE DEGENERATE BOUNDARY-VALUE PROBLEM IN SPACE
DZHURAYEV, A
DOKLADY AKADEMII NAUK SSSR, 1991, 320 (05): : 1043 - 1048
[10] Smooth solution of one boundary-value problem
N. H. Khoma
P. V. Tsynalko
Ukrainian Mathematical Journal, 1997, 49 (12) : 1932 - 1937

← 1 2 3 4 5 →