Summary

2007 International Symposium on Nonlinear Theory and its Applications

2007

Session Number:18AM2-E

Session:

Number:18AM2-E-5

Numerical verification of bifurcating solutions with multi-peaks for 3-dimensional Rayleigh-B´enard convection

M.-N. Kim,  M. T. Nakao,  Y. Watanabe,  T. Nishida,  

pp.258-261

Publication Date:2007/9/16

Online ISSN:2188-5079

DOI:10.34385/proc.41.18AM2-E-5

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Summary:
This is an extension of our previous work [3]. Numerical verification of the existence of nontrivial steady state solutions with multi-peaks for 3 dimensional Rayleigh?B´enard convection is studied based on the fixed point theorem using a Newton like operator with the spectral Galerkin method.