| Abstract: |
| We consider the Burgers equation with a nonlocal flux \begin{equation} u_t + (u \cdot u*\eta_\varepsilon)_x=0 \end{equation} where $\eta_\varepsilon$ is a mollifier. We discuss positive and negative results on the convergence to the entropy solution $u$ of the (local) Burgers equation as the convolution kernel tends to the Dirac delta. This is a joint work with M. Colombo, G. Crippa and L.V. Spinolo. |
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