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math.AP2021
Sharp decay rates for localized perturbations to the critical front in the Ginzburg-Landau equation
Montie Avery, Arnd Scheel
We revisit the nonlinear stability of the critical invasion front in the Ginzburg-Landau equation. Our main result shows that the amplitude of localized perturbations decays with r…
math.AP2021
Strain and defects in oblique stripe growth
Kelly Chen, Zachary Deiman, Ryan Goh +2
We study stripe formation in two-dimensional systems under directional quenching in a phase-diffusion approximation including non-adiabatic boundary effects. We find stripe formati…