Non-integrability of the 4-vortex system: Analytical proof
Author:
Publisher
Springer Science and Business Media LLC
Subject
Mathematical Physics,Statistical and Nonlinear Physics
Link
http://link.springer.com/content/pdf/10.1007/BF01260390.pdf
Reference18 articles.
1. Aref, H.: Integrable, chaotic, and turbulent vortex motion in two-dimensional flows. Ann. Rev. Fluid Mech.15, 345?389 (1983)
2. Aref, H.: Chaos in the dynamics of few vortices. In: Theoretical and applied mechanics. Niordson, F., Olhoff, N. (eds.), pp. 43?68. Amsterdam: North-Holland 1985
3. Aref, H.: The numerical experiment in fluid mechanics. J. Fluid Mech.173, 15?41 (1986)
4. Couder, Y., Basdevant, C.: Experimental and Numerical study of vortex couples in two-dimensional flows. J. Fluid Mech.173, 225?251 (1986)
5. Devaney, R.L.: Transversal homoclinic orbits in an integrable system. Am. J. Math.100, 631?642 (1978)
Cited by 21 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. Dynamics of a restricted (6 + 1)-vortex problem;Physica Scripta;2024-07-11
2. From Hölder Continuous Solutions of 3D Incompressible Navier-Stokes Equations to No-Finite Time Blowup on <math display='inline' xmlns='http://www.w3.org/1998/Math/MathML'> <mrow> <mrow><mo>[</mo> <mrow> <mn>0</mn><mo>,</mo><mi>∞</mi></mrow> <mo>]</mo></mrow></mrow> </math>;Advances in Pure Mathematics;2024
3. From H\"older continuous solutions to no-finite time singular solutions of the 3D Incompressible Navier Stokes equations;2024
4. Dynamical aspects of a restricted three-vortex problem;IMA Journal of Applied Mathematics;2021-10-28
5. Dynamics of two moving vortices in the presence of a fixed vortex;European Journal of Mechanics - B/Fluids;2021-09
1.学者识别学者识别
2.学术分析学术分析
3.人才评估人才评估
"同舟云学术"是以全球学者为主线，采集、加工和组织学术论文而形成的新型学术文献查询和分析系统，可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容，当前同舟云学术共收录了国内外主流学术期刊6万余种，收集的期刊论文及会议论文总量共计约1.5亿篇，并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询！咨询电话：010-8811{复制后删除}0370
www.globalauthorid.com
TOP
Copyright © 2019-2024 北京同舟云网络信息技术有限公司 京公网安备11010802033243号 京ICP备18003416号-3