Improvement of infinity norm estimations related to computer-assisted proofs of the Kolmogorov problem
Author:
Affiliation:
1. Graduate School of Business Administration, Hitotsubashi University
2. Research Institute for Information Technology, Kyushu University
Publisher
The Japan Society for Industrial and Applied Mathematics
Subject
General Engineering
Link
https://www.jstage.jst.go.jp/article/jsiaml/14/0/14_92/_pdf
Reference7 articles.
1. 1) Y. Watanabe, A computer-assisted proof for the Kolmogorov flows of incompressible viscous fluid, J. Comput. Appl. Math., 223 (2009), 953-966.
2. 2) Y. Watanabe, An efficient numerical verification method for the Kolmogorov problem of incompressible viscous fluid, J. Comput. Appl. Math., 302 (2016), 157-170.
3. 3) K. Nagatou, A computer-assisted proof on the stability of the Kolmogorov flows of incompressible viscous fluid, J. Comput. Appl. Math., 169 (2004), 33-44.
4. 4) H. Okamoto and M. Shoji, Bifurcation diagrams in Kolmogorov's problem of viscous incompressible fluid on 2-d flat tori, Jpn. J. Ind. Appl. Math, (1993), 191-218.
5. 5) Y. Watanabe, N. Yamamoto, M. T. Nakao and T. Nishida, A numerical verification of nontrivial solutions for the heat convection problem, J. Math. Fluid Mech., 6 (2004), 1-20.
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