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math.AP2026
How to Cook a Soft-Boiled Egg Optimally: A Laplace-Transform Solution of a Two-Domain Heat Equation
Matthew Lorig
We study the problem of cooking the yolk and albumen of a hen's egg to their respective optimal temperatures of C and C, subject to the requirem…
math.AP2013
Analytical expansions for parabolic equations
Matthew Lorig, Stefano Pagliarani, Andrea Pascucci
We consider the Cauchy problem associated with a general parabolic partial differential equation in dimensions. We find a family of closed-form asymptotic approximations for th…