| Abstract: |
| In this talk, we present the existence, regularities and oscillations of sharp traveling waves for Burgers equations with degenerate diffusion and time-delay. These sharp waves usually lose their regularities, and possess stronge singularitites (the derivatives can be infinity at the sharp points) once the degenrate diffusion is strong, and occur oscillations once the time-delay is big. We then make a comparation to the related studies for the degenerate Fisher-KPP equations, and show the essential differences between these two types of sharp traveling waves. |
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