| Abstract: |
| We consider the stability of the composite wave for the generalized Burgers equation. Especially, we focus on the case that the flux function is non-convex. Then the corresponding Riemann problem admits a Riemann solution which consists of an Oleinik shock and a rarefaction wave. In this situation, we will show the asymptotic stability of the composite wave of the viscous Oleinik shock and the rarefaction wave. This is a joint research with Masaya Kageura from Kobe University. |
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