Relativistic Navier-Stokes Equation, (Navier-Stokes Equation with Estakhr's Correction)

At relativistic speeds Navier-Stokes equation is incorrect unless Estakhr's correction is included. this equation relates energy flux as vector at relativistic speeds. $(-1/c^2)\frac {\partial\mathbf{q}}{\partial{t}}$, at low speeds Estakhr's relativistic correction vanishes. $\rho\gamma^{3}(\frac{D\mathbf{v}}{Dt})= \rho\gamma^{3}(\frac{\partial{\mathbf{v}}} {\partial{t}}+\mathbf{v}\cdot {\nabla{\mathbf{v}}})=-\nabla{p}+ \nabla\cdot{\mathbf{T}}-\frac{1} {c^2}\frac{\partial{\mathbf{q}}} {\partial{t}}+\mathbf{f}$, where $\mathbf{v}$ is the flow velocity, $\rho$ is the fluid density, $p$ is the pressure, $\mathbf{T}$ is the (deviatoric) component of the total stress tensor, which has order two, $\mathbf{f}$ represents body forces (per unit volume) acting on the fluid,$\nabla$ is the del operator, $\gamma$ is the lorentz factor.