Continuous Detonation Wave Rocket Engine (CDWRE) for space application is considered in the framework of French R&D and scienti¦c research. A CDWRE demonstrator and a dedicated test bench are designed by MBDA France. At ICARE-CNRS, theoretical and experimental studies on the CDWRE internal processes are under progress. Twodimensional (2D) Euler simulations of a CDWRE combustion chamber have been performed to investigate the e¨ect of geometrical and injection parameters on the internal process and combustion chamber performance. An experimental study is prepared to investigate liquid oxygen breakup and vaporization in a helium §ow as well as detonation initiation and propagation in a spray of liquid oxygen/gaseous hydrogen.