Convexity of Stokes Waves of Extreme Form

被引：0

作者：

P. I. Plotnikov

J. F. Toland

机构：

[1] Russian Academy of Sciences,Lavryentyev Institute of Hydodynamics

[2] University of Bath,Department of Mathematical Sciences

来源：

Archive for Rational Mechanics and Analysis | 2004年 / 171卷

关键词：

Boundary Condition; Harmonic Function; Stagnation Point; Neumann Boundary; Neumann Boundary Condition;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Existence is established of a piecewise-convex, periodic, planar curve S below which is defined a harmonic function which simultaneously satisfies prescribed Dirichlet and Neumann boundary conditions on S. In hydrodynamics this corresponds to the existence of a periodic Stokes wave of extreme form which has a convex profile between consecutive stagnation points where there is a corner with a contained angle of 120°

引用

页码：349 / 416

页数：67

共 50 条

[1] Convexity of Stokes waves of extreme form
Plotnikov, PI
Toland, JF
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2004, 171 (03) : 349 - 416
[2] ON THE STOKES CONJECTURE FOR THE WAVE OF EXTREME FORM
AMICK, CJ
FRAENKEL, LE
TOLAND, JF
ACTA MATHEMATICA, 1982, 148 : 193 - 214
[3] The pressure distribution in extreme Stokes waves
Lyons, Tony
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2016, 31 : 77 - 87
[4] Particle trajectories in extreme Stokes waves
Constantin, Adrian
IMA JOURNAL OF APPLIED MATHEMATICS, 2012, 77 (03) : 293 - 307
[5] On the global uniqueness of Stokes' wave of extreme form
Kobayashi, Kenta
IMA JOURNAL OF APPLIED MATHEMATICS, 2010, 75 (05) : 647 - 675
[6] On the second stokes conjecture for the wave of extreme form
Plotnikov, PI
Toland, JF
DOKLADY MATHEMATICS, 2003, 67 (03) : 366 - 368
[7] On the existence of extreme waves and the Stokes conjecture with vorticity
Varvaruca, Eugen
JOURNAL OF DIFFERENTIAL EQUATIONS, 2009, 246 (10) : 4043 - 4076
[8] GENERALIZED STOKES PARAMETERS FOR WAVES WITH ARBITRARY FORM
ROMAN, P
NUOVO CIMENTO, 1959, 13 (05): : 974 - 982
[9] The dominant instability of near-extreme Stokes waves
Deconinck, Bernard
Dyachenko, Sergey A.
Lushnikov, Pavel M.
Semenova, Anastassiya
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2023, 120 (32)
[10] GEOPHYSICAL INTERNAL EQUATORIAL WAVES OF EXTREME FORM
Lyons, Tony
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2019, 39 (08) : 4471 - 4486

← 1 2 3 4 5 →