A method maps PDEs from the unit interval to self-similar fractals via isometry and nonlocal approximations, yielding self-similar particle systems for transport, Burgers, and heat equations.
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From PDEs on standard domains to self-similar particle systems on fractals
A method maps PDEs from the unit interval to self-similar fractals via isometry and nonlocal approximations, yielding self-similar particle systems for transport, Burgers, and heat equations.