Aspects of the Mathematical Analysis of Nonlinear Stratified Water Waves

被引：4

作者：

Henry, David ^{[1
]}

Matioc, Bogdan-Vasile ^{[2
]}

机构：

[1] Univ Coll Cork, Sch Math Sci, Cork, Ireland

[2] Leibniz Univ Hannover, Inst Appl Math, D-30167 Hannover, Germany

来源：

ELLIPTIC AND PARABOLIC EQUATIONS | 2015年 / 119卷

关键词：

EDGE WAVES; CONSTANT VORTICITY; SLOPING BEACH; STEADY; REGULARITY; FLUID; FLOWS; BIFURCATION; SYMMETRY;

D O I：

10.1007/978-3-319-12547-3_7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The mathematical analysis of stratified water waves, where the density distribution of the flow is free to fluctuate, is a highly intractable subject which is of great physical and geophysical importance. In this chapter, we present an overview of some recently derived rigorous analytical results for nonlinear steady periodic stratified water waves.

引用

页码：159 / 177

页数：19

共 56 条

[1] Bennett A., 2006, Lagrangian fluid dynamics
[2] Buffoni B., 2003, Princeton Series in Applied Mathematics
[3] Symmetry of steady periodic surface water waves with vorticity
Constantin, A
Escher, J
[J]. JOURNAL OF FLUID MECHANICS, 2004, 498 : 171 - 181
[4] Exact steady periodic water waves with vorticity
Constantin, A
Strauss, W
[J]. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2004, 57 (04) : 481 - 527
[5] Edge waves along a sloping beach
Constantin, A
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2001, 34 (45): : 9723 - 9731
[6] On the deep water wave motion
Constantin, A
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2001, 34 (07): : 1405 - 1417
[7] Constantin A., 2011, CBMS NSF REGIONAL C
[8] Symmetry of steady periodic gravity water waves with vorticity
Constantin, Adrian
Ehrnstrom, Mats
Wahlen, Erik
[J]. DUKE MATHEMATICAL JOURNAL, 2007, 140 (03) : 591 - 603
[9] The trajectories of particles in Stokes waves
Constantin, Adrian
[J]. INVENTIONES MATHEMATICAE, 2006, 166 (03) : 523 - 535
[10] Some Nonlinear, Equatorially Trapped, Nonhydrostatic Internal Geophysical Waves
Constantin, Adrian
[J]. JOURNAL OF PHYSICAL OCEANOGRAPHY, 2014, 44 (02) : 781 - 789

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