Finite time singularities in a class of hydrodynamic models

V. P. Ruban, D. I. Podolsky, J. J. Rasmussen

Models of inviscid incompressible fluid are considered, with the kinetic energy (i.e., the Lagrangian functional) taking the form $\mathcal{L}\sim \int k^{\alpha }|{\mathbf{v}}_{\mathbf{k}}{|}^2{d}^3\mathbf{k}$ in 3…