Pick the CORRECT statement(s) corresponding to the following equation
\[ \dfrac{\partial \mathbf{u}}{\partial t} + \mathbf{u} \cdot \nabla \mathbf{u} = -\dfrac{1}{\rho}\nabla p + \mathbf{g} + \vartheta \nabla^{2}\mathbf{u} \]
where \(\mathbf{u}\) is the velocity vector, \(p\) is the pressure, \(\rho\) is the density, \(\mathbf{g}\) is the gravitational acceleration vector, \(t\) is time, and \(\vartheta\) is the kinematic viscosity.