On the Effect of Sidewalls in Cellular Convection

摘要: Much progress in understanding the stability of continuous systems has come from intensive investigation prototype situations an infinite layer fluid heated below (Benard problem) and contained between concentric rotating cylinders (Taylor (see survey by Segel [1]). Implicit these investigations unbounded regions is assumption that results are meaningful for sufficiently broad convecting layers or long cylinder apparatuses. The present paper reports on work which begins tasks verifying this estimating effects bounding walls. approach to introduce slow spatial modulation solutions derived nonlinear theory region. Although illustrated Benard problem, it should be clear analysis general applicability. reader consult Newell volume a report closely related refer author [2] number details basic omitted here.