Pattern formation under the influence (of convection)
(Or, ``now for something completely different.'') Leaving the topic of variational models along a main exit, we discuss issues of pattern formation for reaction diffusion models with convection added into the mix. Depending on the underlying model, it turns out that behavior can range from the familiar real or complex Ginsburg Landau model to asymptotics more like KdV/Kuramoto Sivashinsky equations. This is joint work with Blake Barker, Mathew Johnson, Pascal Noble, Miguel Rodrigues, Soyeun Jung, Aric Wheeler, and Zhao Yang. This work was supported by NSF grants no. DMS-1700279 and DMS-1400555.