Global existence and singularity formation for the generalized Constantin-Lax-Majda equation with dissipation: The real line vs. periodic domains

David M. Ambrose, Pavel M. Lushnikov, Michael Siegel +1

The question of global existence versus finite-time singularity formation is considered for the generalized Constantin-Lax-Majda equation with dissipation $-{\Lambda }^{\sigma }$, where $\widehat {…