| It is well known that the addition of polymers to liquid jets can suppress or at least significantly delay the breakup of jets. The lecture will review recent results on one-dimensional model equations for jets of viscoelastic liquids with a variety of constitutive models. The mathematical questions considered are 1. Does breakup in finite time occur under the influence of surface tension? 2. Can finite time breakup occur even in the absence of surface tension? 3. How can the approach to breakup be described asymptotically? |