We present theoretical results on spontaneous stratification of sedime
nting suspensions and colloids caused by a lateral temperature gradien
t. Fluid motion is treated in the Stokes approximation, and motion of
suspended particles is described by Burgers equation with convection.
The internal structure and interaction of shocks at convection roll bo
undaries is studied numerically using a reduced one-dimensional model
based on a Galerkin approach. Qualitative comparison is made to experi
mental data.