Lyapunov-Schmidt Reduction of the Planar Benard Problem on the Hexagonal Lattice.

Details Lyapunov-Schmidt Reduction of the Planar Benard Problem on the Hexagonal Lattice. Lyapunov-Schmidt Reduction of the Planar Benard Problem on the Hexagonal Lattice.

Jan 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993phdt........49g&link_type=abstract

Thesis (PH.D.)--STATE UNIVERSITY OF NEW YORK AT BUFFALO, 1993.Source: Dissertation Abstracts International, Volume: 54-02, Sect

Computer Science

Scientific paper

Analytic calculations begun by Golubitsky, Stewart and Schaeffer (1988) of the coefficients of the Lyapunov -Schmidt reduced bifurcation equation for the planar Benard problem with stress-free boundary conditions on the top and bottom surface, are completed to cubic order. The results prove the existence of families of solutions in the form of rolls, hexagons, regular triangles and patchwork quilt, the last three being 3-dimensional disturbances.

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