Ferromagnetic materials may present a complicated domain structure,
due in part to the nonlocal nature of the self interactions.
In this article we present a detailed study of the structure of
one-dimensional magnetic domain walls in uniaxial ferromagnetic
materials, and in particular, of the
Néel and Bloch walls. We analyze the
logarithmic tail of the Néel wall, and identify the characteristic
length scales in both the Néel and Bloch walls. This analysis is used
to obtain the optimal energy scaling
for the Néel and Bloch walls. Our results are
illustrated with numerical simulations of one dimensional walls. A
model for the study of ferromagnetic thin films is derived.