  A short review on studies of neutrino flavor oscillations in moving with a
constant speed matter is presented. Then neutrino flavor oscillations in matter
moving with acceleration are considered. We develop an approach that is valid
for both non-relativistic and relativistic matter motion. For both these cases
the effective neutrino potentials in accelerating matter are obtained and
neutrino flavor oscillation probabilities and the Mikheyev-Smirnov-Wolfenstein
resonance conditions are evaluated. The obtained results in the limit of zero
matter acceleration reproduce the corresponding expressions for the case of
matter at rest. The developed approach is applied for neutrino flavor
oscillations in the case of rotating matter. The results obtained might be of
interest for astrophysical applications.
