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Exotische Lösungen des Bénardschen Problems
Author(s) -
Kirchgässner K.
Publication year - 1979
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670010404
Subject(s) - mathematics , bifurcation , eigenvalues and eigenvectors , multiplicity (mathematics) , bifurcation theory , boundary value problem , simple (philosophy) , mathematical analysis , pure mathematics , nonlinear system , physics , epistemology , quantum mechanics , philosophy
A bifurcation analysis is given for the generalized Bénard problem near the critical value of the Grashoff number. In contrast to earlier investigations where symmetry arguments were used to reduce the boundary‐value‐problem to a simple‐eigenvalue‐bifurcation, we only require double periodicity and treat high multiplicity bifurcation. It is shown that solutions of a yet unknown type exist.