Front Propagation into Unstable States: Some Recent Developments and Surprises
I review the differences and similarities between the marginal stability approach to front propagation into unstable states and the “pinch point” analysis for the space-time evolution of perturbations developed in plasma physics. I then briefly discuss the following developments and surprises: (i) the resolution of a discrepancy between the theory and experiments on Taylor vortex fronts; (ii) some new results for the regime where front propagation is dominated by nonlinear effects (nonlinear marginal stability regime); (iii) ongoing work on fronts and pulses in the complex Ginzburg-Landau equation.
KeywordsUnstable State Marginal Stability Convective Instability Front Velocity Front Propagation
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