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We present a linear stability analysis of the perturbation modes inanisotropic MHD flows with velocity shear and strong magnetic field.Collisionless or weakly collisional plasma is described within the 16-momentumMHD fluid closure model, that takes into account not only the effect ofpressure anisotropy, but also the effect of anisotropic heat fluxes. In thismodel the low frequency acoustic wave is revealed into a standard acoustic modeand higher frequency fast thermo-acoustic and lower frequency slowthermo-acoustic waves. It is shown that thermo-acoustic waves become unstableand grow exponentially when the heat flux parameter exceeds some criticalvalue. It seems that velocity shear makes thermo-acoustic waves overstable evenat subcritical heat flux parameters. Thus, when the effect of heat fluxes isnot profound acoustic waves will grow due to the velocity shear, while atsupercritical heat fluxes the flow reveals compressible thermal instability.Anisotropic thermal instability should be also important in astrophysicalenvironments, where it will limit the maximal value of magnetic field that alow density ionized anisotropic flow can sustain.

Overstability of acoustic waves in strongly magnetized anisotropic MHD shear flows