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math.AP2026
Traveling waves for combustion reaction-diffusion-convection equations: the full range of wave speeds
Pavel Drábek, Soyeun Jung, Eunkyung Ko +1
We consider traveling wave solutions to a reaction--diffusion--convection equation with a combustion-type reaction term. While a necessary condition for the existence of traveling…
math.AP2026
Traveling waves for bistable reaction-diffusion-convection equations with discontinuous density-dependent coefficients
Pavel Drábek, Soyeun Jung, Eunkyung Ko +1
Continuing our previous study \cite{DJKZ} on the monostable reaction-diffusion-convection equation, we analyze the bistable case under weak regularity assumptions. Our approach app…
math.AP2026
Traveling waves for monostable reaction-diffusion-convection equations with discontinuous density-dependent coefficients
Pavel Drábek, Soyeun Jung, Eunkyung Ko +1
This paper concerns wave propagation in a class of scalar reaction-diffusion-convection equations with -Laplacian-type diffusion and monostable reaction. We introduce a new conc…