Renormalization and universality of blowup in hydrodynamic flows
Renormalization and universality of blowup in hydrodynamic flows
We consider self-similar solutions describing intermittent bursts in shell models of turbulence and study their relationship with blowup phenomena in continuous hydrodynamic models. First, we show that these solutions are very close to self-similar solution for the Fourier transformed inviscid Burgers equation corresponding to shock formation from smooth initial data. …