An efficient numerical verification method for the Kolmogorov problem of incompressible viscous fluid
Author:
Funder
Ministry of Education, Culture, Sports, Science and Technology of Japan
Publisher
Elsevier BV
Subject
Applied Mathematics,Computational Mathematics
Reference21 articles.
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2. Example of the generation of a secondary stationary or periodic flow when there is loss of stability of the laminar flow of a viscous incompressible fluid;Iudovich;J. Appl. Math. Mech.,1965
3. Kolmogorov flow and laboratory simulation of it;Obukhov;Russian Math. Surveys,1983
4. Bifurcation diagrams in Kolmogorov’s problem of viscous incompressible fluid on 2-D flat tori;Okamoto;Jpn. J. Ind. Appl. Math.,1993
5. A computer-assisted proof on the stability of the Kolmogorov flows of incompressible viscous fluid;Nagatou;J. Comput. Appl. Math.,2004
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1. Improvement of infinity norm estimations related to computer-assisted proofs of the Kolmogorov problem;JSIAM Letters;2022
2. Computer-assisted proofs of the existence of a symmetry-breaking bifurcation point for the Kolmogorov problem;Journal of Computational and Applied Mathematics;2021-10
3. Spontaneous Periodic Orbits in the Navier–Stokes Flow;Journal of Nonlinear Science;2021-03-26
4. Numerical Verification Methods and Computer-Assisted Proofs for Partial Differential Equations;Springer Series in Computational Mathematics;2019
5. Applications to the Computer-Assisted Proofs in Analysis;Springer Series in Computational Mathematics;2019
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