@article{662,
  abstract     = {We report a direct-numerical-simulation study of the Taylor-Couette flow in the quasi-Keplerian regime at shear Reynolds numbers up to (105). Quasi-Keplerian rotating flow has been investigated for decades as a simplified model system to study the origin of turbulence in accretion disks that is not fully understood. The flow in this study is axially periodic and thus the experimental end-wall effects on the stability of the flow are avoided. Using optimal linear perturbations as initial conditions, our simulations find no sustained turbulence: the strong initial perturbations distort the velocity profile and trigger turbulence that eventually decays.},
  author       = {Shi, Liang and Hof, Björn and Rampp, Markus and Avila, Marc},
  issn         = {1070-6631},
  journal      = {Physics of Fluids},
  number       = {4},
  publisher    = {American Institute of Physics},
  title        = {{Hydrodynamic turbulence in quasi Keplerian rotating flows}},
  doi          = {10.1063/1.4981525},
  volume       = {29},
  year         = {2017},
}

@article{1494,
  abstract     = {Turbulence is one of the most frequently encountered non-equilibrium phenomena in nature, yet characterizing the transition that gives rise to turbulence in basic shear flows has remained an elusive task. Although, in recent studies, critical points marking the onset of sustained turbulence have been determined for several such flows, the physical nature of the transition could not be fully explained. In extensive experimental and computational studies we show for the example of Couette flow that the onset of turbulence is a second-order phase transition and falls into the directed percolation universality class. Consequently, the complex laminar–turbulent patterns distinctive for the onset of turbulence in shear flows result from short-range interactions of turbulent domains and are characterized by universal critical exponents. More generally, our study demonstrates that even high-dimensional systems far from equilibrium such as turbulence exhibit universality at onset and that here the collective dynamics obeys simple rules.},
  author       = {Lemoult, Grégoire M and Shi, Liang and Avila, Kerstin and Jalikop, Shreyas V and Avila, Marc and Hof, Björn},
  journal      = {Nature Physics},
  number       = {3},
  pages        = {254 -- 258},
  publisher    = {Nature Publishing Group},
  title        = {{Directed percolation phase transition to sustained turbulence in Couette flow}},
  doi          = {10.1038/nphys3675},
  volume       = {12},
  year         = {2016},
}

@article{2829,
  abstract     = {Laminar-turbulent intermittency is intrinsic to the transitional regime of a wide range of fluid flows including pipe, channel, boundary layer, and Couette flow. In the latter turbulent spots can grow and form continuous stripes, yet in the stripe-normal direction they remain interspersed by laminar fluid. We carry out direct numerical simulations in a long narrow domain and observe that individual turbulent stripes are transient. In agreement with recent observations in pipe flow, we find that turbulence becomes sustained at a distinct critical point once the spatial proliferation outweighs the inherent decaying process. By resolving the asymptotic size distributions close to criticality we can for the first time demonstrate scale invariance at the onset of turbulence.},
  author       = {Shi, Liang and Avila, Marc and Hof, Björn},
  journal      = {Physical Review Letters},
  number       = {20},
  publisher    = {American Physical Society},
  title        = {{Scale invariance at the onset of turbulence in couette flow}},
  doi          = {10.1103/PhysRevLett.110.204502},
  volume       = {110},
  year         = {2013},
}