3 papers
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.AP2024
Traveling waves in reaction-diffusion-convection equations with combustion nonlinearity
Pavel Drábek, Michaela ZahradnÃková
This paper concerns the existence and properties of traveling wave solutions to reaction-diffusion-convection equations on the real line. We consider a general diffusion term invol…