Singularities of solutions of the linearized Navier-Stokes system (Q1280675)

The linearized Navier-Stokes system \[ \frac{\partial v}{\partial t}-\nu\Delta v+\nabla p=f, \qquad \text{div} v=g \qquad (x,t)\in\Omega\subset \mathbb{R}^{n+1} \tag{1} \] is considered in a class of distributions. Using the notion of a wave front of a distribution, the author investigates a wave front for the system (1). This front is anisotropic in according to the structure of the system. The differentiation with respect to \(t\in \mathbb{R}\) has the weight 2 and the differentiation with respect to \(x\) has the weight 1. An example of solutions with singularities is constructed.