Within the framework of the two-component protogalaxy model, the components
of which are dense cold clouds and diffuse coronal gas, we discuss the sta
bility condition of the dense clouds against the Kelvin-Helmholtz instabili
ty (KHI). Interestingly the stability condition of the clouds against KHI d
etermines the global properties of the protogalaxies. Especially, in this p
aper, the effect of the magnetic field against KHI is examined. The author
hypothesizes the two-component mixture to be magnetized. It is known that w
hen the relative speed between two contacting fluids is smaller than the Al
fven speed, it is possible for KHI to be suppressed due to the magnetic fie
ld. Obviously, the efficiency of stabilization against KHI by this effect i
s related to the global property of the two-component protogalaxies. Hence,
we find that the two-component model of the protogalaxy is compatible with
the scenario of galaxy formation via a magnetic field.