  We study thermoelectric conductivities and shear viscosities in a
holographically anisotropic model, which is dual to a spatially anisotropic
$\mathcal{N}=4$ super-Yang-Mills theory at finite chemical potential. Momentum
relaxation is realized through perturbing the linear axion field. Ac
conductivity exhibits a coherent/incoherent metal transition. Deviations from
the Wiedemann-Franz law are also observed in our model. The longitudinal shear
viscosity for prolate anisotropy violates the bound conjectured by
Kovtun-Son-Starinets. We also find that thermodynamic and dynamical
instabilities are not always equivalent by examining the Gubser-Mitra
conjecture.
