  How does an initially homogeneous spin-polarization in a confined
two-dimensional electron gas with Rashba spin-orbit coupling evolve in time?
How does the relaxation time depend on system size? We study these questions
for systems of a size that is much larger than the Fermi wavelength, but
comparable and even shorter than the spin relaxation length. Depending on the
confinement spin-relaxation may become faster or slower than in the bulk. An
initially homogeneously polarized spin system evolves into a spiral pattern.
