Singular Solutions for Nonlocal Systems of Evolution Equations with Vorticity Stretching.

We investigate a system of nonlocal transport equations in one spatial dimension. The system can be regarded as a model for the three-dimensional Euler equations in the hyperbolic flow scenario. We construct blowup solutions with control over the vorticity up to the blowup time. For a wide class of initial data, we determine power-law bounds for the blowup profile with an exact exponent derived from a stationary singular solution of the system.