摘要:

Convection with a strip plate in the middle is studied in this paper. Simultaneous instability of two convection modes of different vertical structures with a same horizontal wave number is possible in this system. It is found that the interaction of these two modes generates mean flows similar to those observed by Krishnamurti and Howard [9] in a turbulent convection experiment. Coupled nonlinear equations are derived for the amplitudes of the two modes. Traveling wave solutions and more complicated time‐dependent solutions are also found near the onset of convectio

ISSN:0022-2526    

DOI:10.1002/sapm19938811

年代:1993

数据来源: WILEY

摘要:

In this paper we constructallPainlevé‐type differential equations of the form (d2y/dx2)2=F(x,y,dy/dx), whereFis rational inyandy′=dy/dx, locally analytic inx, and not a perfect square. No further simplifying assumptions are made, but it is found that the absence of a term linear iny″ in the class of equations under investigation forcesFto be a polynomial inyandy′. We find exactly six distinct classes of second‐degree Painlevé equations, denoted SD‐I,

ISSN:0022-2526    

DOI:10.1002/sapm199388125

年代:1993

数据来源: WILEY