A 2D model of the sunspot decay is constructed which under the assumption o
f axial symmetry follows the evolution of both the magnetic field and tempe
rature. Magnetic-induced deformation and suppression of the tensors of turb
ulent heat conductivity and eddy diffusivity are explicitly included. In an
older model without the eta-quenching the decay law of spot area proved to
be slightly convex with (A) double over dot < 0 in contrast to the results
of new and detailed investigations of the observations. With the eta-quenc
hing involved, our models do not exhibit the convex decay laws but instead
yield quasilinear decays for both the spot area as well as the magnetic flu
x (cf. Fig. 3).