||"Pattern formations in heat convection problems"
by Takaaki Nishida (Waseda University) and Yoshiaki Teramoto (Setsunan University)
Heat convection problems are considered in the horizontal strip domain where viscous fluids are heated from below under the gravity. The Oberbeck-Boussinesq equation is assumed to govern the fluid motion. The boundary condition on the upper surface is stress free and that on the lower boundary is no-slip. The bifurcation theorem gives some pattern formations. Beyond the bifurcation theory we want to extend the bifurcated solution curves. The case of free surface for the upper boundary is also considered by a generalization of bifurcation theorem.