The problem of the magnetic island profile functions is analyzed. An idea i
s suggested that discontinuities of the profile function derivatives at the
island separatrix, which appear in simplified plasma models, can be elimin
ated by means of more complete description, i.e., the profile functions can
be regularized. As an example, the regularization of the electrostatic pot
ential profile function is considered for the case of a slab geometry when
its formation is governed by the perpendicular viscosity. It is shown that
for regularization of such a profile function one should keep in the viscos
ity expression the terms with higher derivatives of the velocity, usually r
eferred to as hyperviscosity terms. A model expression for the hyperviscosi
ty is derived by the Grad-type method. Physically, the regularization is re
lated to the appearance of a part of the profile function localized in the
Larmor transition layer near the island separatrix. (C) 2000 American Insti
tute of Physics. [S1070-664X(00)01504-4].