Universal Algebraic Relaxation of Fronts Propagating into an Unstable State and Implications for Moving Boundary Approximations

@inproceedings{Ebert1998UniversalAR,
  title={Universal Algebraic Relaxation of Fronts Propagating into an Unstable State and Implications for Moving Boundary Approximations},
  author={U. Ebert and Wim van Saarloos},
  year={1998}
}
We analyze the relaxation of fronts propagating into unstable states. While “pushed” fronts exponentially like fronts propagating into a metastable state, “pulled” or “linear marginal stabi fronts relax algebraically. As a result, for thin fronts of this type, the standard moving boun approximation fails. The leading relaxation terms for velocity and shape are of order 1yt and 1yt3y2. These universal terms are calculated exactly with a new systematic analysis that unifies various he approaches… CONTINUE READING
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