\documentclass[12pt]{article}

\begin{document}

\begin{eqnarray*}
   W & = & - a_{sq} | (v_1 - v_2) \bullet \mathbf{nn} |^2 - 
   a_{sh} | (\omega_1 + \omega_2) \bullet 
   (\mathbf{I} - \mathbf{nn}) - 2 \Omega_N |^2 - \\
   & & a_{pu} | (\omega_1 - \omega_2) \bullet (\mathbf{I} - \mathbf{nn}) |^2 -
   a_{tw} | (\omega_1 - \omega_2) \bullet \mathbf{nn} |^2  \qquad r < r_c
\end{eqnarray*}

$$
\Omega_N = \mathbf{n} \times (v_1 - v_2) / r
$$

\end{document}
