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Stability of planar fronts in reaction-diffusion systems

Joris van Winden

Palomar Registrypalomar/PALOMAR-2026-10-23-000005Oct 23, 2026math.APscore 0

A Lean formalization of effective dynamics near spectrally stable planar fronts in reaction-diffusion systems under small, bounded uniformly continuous perturbations. The main result constructs global solutions and approximates the perturbed front by a phase evolving according to a viscous Hamilton-Jacobi equation, with a uniform quantitative error bound.

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