Nonexistence of asymptotically self-similar singularities in the Euler and the Navier–Stokes equations
Author:
Publisher
Springer Science and Business Media LLC
Subject
General Mathematics
Link
http://link.springer.com/content/pdf/10.1007/s00208-007-0082-6.pdf
Reference35 articles.
1. Beale J.T., Kato T. and Majda A. (1984). Remarks on the breakdown of smooth solutions for the 3-D Euler equations. Comm. Math. Phys. 94: 61–66
2. Caffarelli L., Kohn R. and Nirenberg L. (1982). Partial regularity of suitable weak solutions of the Navier–Stokes equations. Comm. Pure Appl. Math. 35: 771–831
3. Chae, D.: Nonexistence of self-similar singularities for the 3D incompressible Euler equations. Comm. Math. Phys. (2007, in press)
4. Chae D. (2004). Local existence and blow-up criterion for the Euler equations in the Besov spaces. Asymp. Anal. 38(3–4): 339–358
5. Chae D. (2003). On the Euler equations in the critical Triebel–Lizorkin spaces. Arch. Rat. Mech. Anal. 170(3): 185–210
Cited by 38 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. Self-similar solutions to the hypoviscous Burgers and SQG equations at criticality;Journal of Physics A: Mathematical and Theoretical;2023-06-19
2. Potential anisotropic finite-time singularity in the three-dimensional axisymmetric Euler equations;Physical Review Fluids;2022-03-31
3. On the Singularity Problem for the Euler Equations;KIAS Springer Series in Mathematics;2022
4. Non-existence of some approximately self-similar singularities for the Landau, Vlasov-Poisson-Landau, and Boltzmann equations;Transactions of the American Mathematical Society;2021-12-23
5. Eroding dipoles and vorticity growth for Euler flows in ${{\mathbb{R}}}^{3}$: the hairpin geometry as a model for finite-time blowup;Fluid Dynamics Research;2018-01-16
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