Computer-assisted proofs of the existence of a symmetry-breaking bifurcation point for the Kolmogorov problem-Reference-Cited by-同舟云学术

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Computer-assisted proofs of the existence of a symmetry-breaking bifurcation point for the Kolmogorov problem

Published:2021-10 Issue: Volume:395 Page:113603
ISSN:0377-0427
Container-title:Journal of Computational and Applied Mathematics
language:en
Short-container-title:Journal of Computational and Applied Mathematics

Author:

Cai Shuting^ORCID,Watanabe Yoshitaka

Funder

Japan Science and Technology Agency

Government of Japan Ministry of Education Culture Sports Science and Technology

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference16 articles.

1. Example of the generation of a secondary stationary of periodic flow when there is loss of stability of the laminar flow of a viscous incompressible fluid;Iudovich;J. Appl. Math. Mech.,1965

2. Kolmogorov Flow and laboratory simulation of it;Obukhov;Russian Math. Surv.,1983

3. Bifurcation diagrams in Kolmogorov’s problem of viscous incompressible viscous fluid on 2-D flat tori;Okamoto;Jpn. J. Ind. Appl. Math.,1993

4. An efficient numerical verification method for the Kolmogorov problem of incompressible viscous fluid;Watanabe;J. Comput. Appl. Math.,2016

5. Computer-assisted methods for the study of stationary solutions in dissipative systems;Arioli;Arch. Ration. Mech. Anal.,2010

Cited by 1 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. Reduction in Degrees of Freedom for Large-Scale Nonlinear Systems in Computer-Assisted Proofs;Mathematics;2023-10-18

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