  We study the local thermal stability of thin accretion disks. We present a
full stability analysis in the presence of a magnetic field and more
importantly wind. For wind, we use a general model suitable for adequately
describing several kinds of winds. First, we explicitly show that the magnetic
field, irrespective of the type of wind, has a stabilizing effect. This is also
true when there is no wind. In this case, we confirm the other works already
presented in the literature. However, our main objective is to investigate the
local thermal stability of the disk in the presence of the wind. In this case,
interestingly, the response of disk is directly related to the type of wind. In
other words, in some cases, the wind can stabilize the disk. On the other hand,
in some cases, it can destabilize the disk. We found that in some thin disk
models where the magnetic pressure cannot explain the stability of the disk by
including a typical contribution for magnetic pressure, the wind can provide a
viable explanation for the thermal stability.
