The group-theoretic approach is used to construct exact solutions to perfect fluid equations invariant under the Schrödinger group, or the $\ell$-conformal Galilei group, or the Lifshitz group. In each respective case, the velocity vector field looks similar to the Bjorken flow. It is shown that one can reach an arbitrarily high density (and hence pressure) for a short period of time by adjusting the value of $\ell$ and other free parameters available.

Close

PrevNext

View figure in article

• Euler equation
• Eulerian flow field