Solar models and McKean's breakdown theorem for the $\mu$CH and $\mu$DP equations

Stephen C. Preston

We study the breakdown for $\mu$CH and $\mu$DP equations on the circle, given by $$m_t+u{m}_{\theta }+\lambda u_{\theta }m=0,$$ for $m=\mu (u)-u_{\theta \theta }$, where $\mu$ is the mean and $\lambda =2$ or $\lambda =3$ respect…