The formation of plane cosmic walls of negligible thickness from the c
ollapse of smooth inhomogeneous plane-symmetric distributions of matte
r is considered. Two models with different asymptotic behaviors far fr
om the wall in formation are constructed. In the first, the fluid far
from the wall is anisotropic, with pressures proportional to density.
The second model describes an asymptotically isotropic ideal gas in is
entropic flow. Even though both models start from matter distributions
with positive density and pressures everywhere, it is found that, dur
ing the collapse, negative pressures (tensions) appear within the wall
in formation.