当前位置: X-MOL 学术SIAM J. Math. Anal. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Global Bifurcation of Waves with Multiple Critical Layers
SIAM Journal on Mathematical Analysis ( IF 2 ) Pub Date : 2020-10-20 , DOI: 10.1137/19m1274845
Kristoffer Varholm

SIAM Journal on Mathematical Analysis, Volume 52, Issue 5, Page 5066-5089, January 2020.
Analytic global bifurcation theory is used to construct a large variety of families of steady periodic two-dimensional gravity water waves with real-analytic vorticity distributions, propagating in an incompressible fluid. The waves that are constructed can possess an arbitrary number of interior stagnation points in the fluid and corresponding critical layers consisting of closed streamlines. This is made possible by the use of the so-called naive flattening transform, which has previously only been used for local bifurcation.


中文翻译:

具有多个关键层的波的全局分叉

SIAM数学分析杂志,第52卷,第5期,第5066-5089页,2020年1月。
分析全局分叉理论用于构造各种具有真实解析涡度分布的稳定周期二维重力水波家族,在不可压缩的液体中。所构造的波浪在流体和相应的由封闭流线组成的临界层中可以具有任意数量的内部停滞点。这可以通过使用所谓的朴素平整变换来实现,该朴素变换以前仅用于局部分叉。
更新日期:2020-10-26
down
wechat
bug