SINGULAR SOLUTIONS AND ILL-POSEDNESS FOR THE EVOLUTION OF VORTEX SHEETS

被引：89

作者：

CAFLISCH, RE ^{[1
]}

ORELLANA, OF ^{[1
]}

机构：

[1] UNIV TECN FEDERICO SANTA MARIA,VALPARAISO,CHILE

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 1989年 / 20卷 / 02期

关键词：

D O I：

10.1137/0520020

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

引用

收藏

页码：293 / 307

页数：15

相关论文

共 16 条

[1] BIRKHOFF G, 1962, 12 P S APPL MATH, P55
[2] LONG-TIME EXISTENCE FOR A SLIGHTLY PERTURBED VORTEX SHEET
CAFLISCH, RE
ORELLANA, OF
[J]. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1986, 39 (06) : 807 - 838
[3] DIPERNA R. J., 1988, J AM MATH SOC, V1, P59
[4] CONCENTRATIONS IN REGULARIZATIONS FOR 2-D INCOMPRESSIBLE-FLOW
DIPERNA, RJ
MAJDA, AJ
[J]. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1987, 40 (03) : 301 - 345
[5] OSCILLATIONS AND CONCENTRATIONS IN WEAK SOLUTIONS OF THE INCOMPRESSIBLE FLUID EQUATIONS
DIPERNA, RJ
MAJDA, AJ
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1987, 108 (04) : 667 - 689
[6] DUCHON J, 1986, CR ACAD SCI I-MATH, V302, P183
[7] DUCHON J, IN PRESS COMM PARTIA
[8] EBIN D, 1988, ILL POSEDNESS RAYLEI, V13, P1265
[9] Katznelson Y., 2004, INTRO HARMONIC ANAL
[10] DESINGULARIZATION OF PERIODIC VORTEX SHEET ROLL-UP
KRASNY, R
[J]. JOURNAL OF COMPUTATIONAL PHYSICS, 1986, 65 (02) : 292 - 313