Cold dark matter in the Milky Way halo may have structure defined by flows with low velocity dispersion. The Axion Dark Matter eXperiment high resolution channel is especially sensitive to axions in such low velocity dispersion flows. Results from a combined power spectra analysis of the high resolution channel axion search are presented along with a discussion of the assumptions underlying such an analysis. We exclude KSVZ axion dark matter densities of {rho} > 0.2 GeV/cm^3 and DFSZ densities of {rho} > 1.4 GeV/cm^3 over a mass range of m_a = 3.3{mu}eV to 3.69{mu}eV for models having velocity dispersions of {Delta}{beta} < 3x10^-6.
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