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System of governing equations including Baldwin-Lomax model

When using algebraic turbulence model, the system of governing equations can be rewritten in the following form:
$\displaystyle \left( \begin{array}{c} 0 \\ u \\ v \\ \end{array} \right)_{t}+ \left( \begin{array}{c} u \\ u^2 + p \\ uv \\ \end{array}\right)_{x} + \left( \begin{array}{c} v \\ vu \\ v^2 + p \\ \end{array}\right)_{y} =\left( \begin{array}{c} 0 \\ (\nu + \nu_T) u_x \\ (\nu + \nu_T) v_x \\ \end{array}\right)_{x} +\left( \begin{array}{c} 0 \\ (\nu + \nu_T) u_y \\ (\nu + \nu_T) v_y \\ \end{array}\right)_{y}$ (27.28)
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