For a family of combustion-type nonlinearities, the transition solution spreads at speed 2 y0 sqrt(t) with a precisely characterized lower-order term that depends on the specific form of f and is not universal across all such f.
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Refined estimates of the propagation speed in porous medium equation of combustion type
For a family of combustion-type nonlinearities, the transition solution spreads at speed 2 y0 sqrt(t) with a precisely characterized lower-order term that depends on the specific form of f and is not universal across all such f.