The 9th edition of the conference (CMAM-9) takes place on July 13-17, 2020 in Vienna. The support of the Austrian Science Fund (FWF) through the Doctoral School (DK) Dissipation and dispersion in nonlinear PDEs (grant W1245) and the Special Research Program (SFB) Taming complexity in partial differential systems (grant F65), as well as of TU Wien and the Vienna Center for Partial Differential Equations is thankfully acknowledged.