Astrophysical applications of radiation hydrodynamics Vincent Icke Sterrewacht leiden 26 May 2005 Cosmic fermionic matter in the Universe is gaseous, with the exception of dust grains and an occasional planet. Cosmic bosonic matter is in the form of photons. Therefore, our AstroHydro3D Project (AH3D) has focused on the understanding of the gas dynamics in and around stars, interstellar matter, galaxies and the Universe. We moved from two- to three-dimensional hydrodynamics, funded by the NWO Open Competition and Computational Science. We are now including radiation in our methods. These processes (propagation, ionization, photodissociation, energy and momentum exchange) are the physics 'raison d'etre' for our work. A fascinating variety of observed objects are the astronomical 'raison d'etre'. Most of the processes of cosmic structure formation are regulated, indeed often dominated, by radiative effects in hydrodynamics. We intend to lead towards ever increasing realism in the modeling of the appearance and the inner workings of cosmic objects. This path is well matched with the steadily increasing angular and spectral resolution of observations. The richness and detail of our work cannot be properly captured on paper, so we earnestly and urgently request the reader to consult our web site www.strw.LeidenUniv.nl/AstroHydro3D/