Conditional large data scattering results for the Dirac-Klein-Gordon system

We obtain conditional results on the global existence and scattering for large solutions of the Dirac-Klein-Gordon system in critical spaces in dimension $1+3$. In particular, for bounded solutions we identify a space-time Lebesgue norm controlling the global behaviour. The proof relies on refined nonlinear estimates involving the controlling norm.Comment: v1: 35 page

Life in the sun and the deep-freeze

The future effects of climate change will potentially have massive impacts upon society, infrastructure, energy and food supplies. Considerable research is focused upon the development of sophisticated predictive climate models that forecast the implications and effects of climate change over the next few millennia. However, two obvious questions arise. Firstly, how can we test whether these models work? Secondly, are we being short-sighted and not looking far enough into the future? Both of these questions can be examined by looking at analogues from the geological record