Stability of conservative flows and new steady-fluid solutions from bifurcation diagrams exploiting a variational argument.

@article{LuzzattoFegiz2010StabilityOC,
  title={Stability of conservative flows and new steady-fluid solutions from bifurcation diagrams exploiting a variational argument.},
  author={Paolo Luzzatto-Fegiz and Charles H. K. Williamson},
  journal={Physical review letters},
  year={2010},
  volume={104 4},
  pages={044504}
}
In this Letter, we address two issues affecting the use of a variational argument to determine stability of conservative fluid systems. We build on ideas from bifurcation theory, and thereby for families of steady flows, we link turning points in a velocity-impulse diagram to gains or losses of stability. We further introduce concepts from imperfection theory into these problems, enabling us to reveal hidden solution branches. Our approach applies to a wide range of flows. As an illustration… CONTINUE READING