Computer Assisted Proofs of Bifurcating Solutions for Nonlinear Heat Convection Problems

Author:

Nakao Mitsuhiro T.,Watanabe Yoshitaka,Yamamoto Nobito,Nishida Takaaki,Kim Myoung-Nyoung

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,General Engineering,Theoretical Computer Science,Software,Applied Mathematics,Computational Mathematics,Numerical Analysis

Cited by 10 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. Computer assisted proof of branches of stationary and periodic solutions, and Hopf bifurcations, for dissipative PDEs;Communications in Nonlinear Science and Numerical Simulation;2022-02

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. A Hopf Bifurcation in the Planar Navier–Stokes Equations;Journal of Mathematical Fluid Mechanics;2021-06-10

4. Numerical computation of triangular cavity flows by a Lagrange-Galerkin scheme with a locally linearized velocity;Journal of Advanced Simulation in Science and Engineering;2018

5. Families of Periodic Solutions for Some Hamiltonian PDEs;SIAM Journal on Applied Dynamical Systems;2017-01

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