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Does this growth settle into a universal power law, and with what exponent?","posed_since":"","precise":"For an outwardly propagating premixed flame subject to the Darrieus-Landau (gas-expansion) and thermo-diffusive instabilities, determine whether the radius approaches a self-similar law $R \\sim t^{\\alpha}$ at $R/\\delta_L >\\sim 10^{4}$, the value of $\\alpha$ (field-scale correlations suggest $\\alpha = 3/2$, equivalent to a fractal front dimension $7/3$), and its dependence on expansion ratio and Lewis number. An answer is $\\alpha$ with uncertainty from simulations or experiments reaching the asymptotic range.","problem_ref":"1f92cb59a4301690c7f67503ca32dbeca842b8a898e90eb456d0a98181b4cae3","references":"","settled_by":"Large-scale simulations or large-volume experiments that reach $R/\\delta_{L}$ of $10^{4}$ or more and show a converged power law in $R(t)$.","status_note":"","title":"Asymptotic acceleration exponent of large self-wrinkling expanding 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