A computer-assisted proof for the Kolmogorov flows of incompressible viscous fluid
Author:
Publisher
Elsevier BV
Subject
Applied Mathematics,Computational Mathematics
Reference12 articles.
1. 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
2. A numerical method to verify the elliptic eigenvalue problems including a uniqueness property;Nagatou;Computing,1999
3. A computer-assisted proof on the stability of the Kolmogorov flows of incompressible viscous fluid;Nagatou;J. Comp. Appl. Math.,2004
4. A numerical verification method for the existence of weak solutions for nonlinear boundary value problems;Nakao;J. Math. Anal. Appl.,1992
5. Solving nonlinear elliptic problems with result verification using an H−1 type residual iteration;Nakao;Computing, Suppl.,1993
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