Thomas H. Zurbuchen, Karoly Kecskemety, M. J. Reiner, Charlie J. Farrugia, Jon A. Linker, Antoinette B. Galvin, A. Llebaria, Noé Lugaz, J. W. Cook, Dusan Odstrcil, Sami K. Solanki, Rainer Schwenn, David M. Alexander, Martin A. Lee, Manfred Scholer, Victor J. Pizzo, József Kóta, Markus J. Aschwanden, Ilia I. Roussev, Vytenis M. Vasyliunas, L. F. Burlaga, Robert F. Wimmer-Schweingruber, Bernd Inhester, Anne Sandman, Ward B. Manchester, Thomas Wiegelmann, Donald V. Reames, Peter Bochsler, Peter A. Robinson, Pete Riley, Milan Maksimovic, M. L. Kaiser, C. K. Ng, Janet G. Luhmann, Z. Mikic, Volker Bothmer, Russell A. Howard, Tamas I. Gombosi, L. M. Blush, P. C. Liewer, Iver H. Cairns, Lockheed Martin Solar and Astrophysics Laboratory, NASA/Goddard Space Flight Center (NASA/GSFC), Astronomy Department, University of Michigan, University of New Hampshire (UNH), SAIC, Department of Physics and Astronomy, Rice University, Houston, Naval Research Laboratory (NRL), NOAA/SEC, Lunar and Planetary Laboratory [University of Arizona] (LPL), University of Arizona, Jet Propulsion Laboratory, California Institute of Technology (JPL), University of California, Space Sciences Lab, Max-Planck-Institut für Sonnensystemforschung = Max Planck Institute for Solar System Research (MPS), Max-Planck-Gesellschaft, Physikalisches Institut, Universität Bern, School of Physics, University of Sydney, Institut für Astrophysik, Universität Göttingen, KFKI Research Institute for Particle and Nuclear Physics (KFKI-RMKI), Laboratoire d'Astronomie Spatiale (LAS), Centre National de la Recherche Scientifique (CNRS), Laboratoire d'études spatiales et d'instrumentation en astrophysique (LESIA), Université Pierre et Marie Curie - Paris 6 (UPMC)-Institut national des sciences de l'Univers (INSU - CNRS)-Observatoire de Paris, Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Université Paris Diderot - Paris 7 (UPD7)-Centre National de la Recherche Scientifique (CNRS), Physique des plasmas, Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Université Paris Diderot - Paris 7 (UPD7)-Centre National de la Recherche Scientifique (CNRS)-Université Pierre et Marie Curie - Paris 6 (UPMC)-Institut national des sciences de l'Univers (INSU - CNRS)-Observatoire de Paris, Center for Interdisciplinary Plasma Science, and Extraterr
International audience; We summarize the theory and modeling efforts for the STEREO mission, which will be used to interpret the data of both the remote-sensing (SECCHI, SWAVES) and in-situ instruments (IMPACT, PLASTIC). The modeling includes the coronal plasma, in both open and closed magnetic structures, and the solar wind and its expansion outwards from the Sun, which defines the heliosphere. Particular emphasis is given to modeling of dynamic phenomena associated with the initiation and propagation of coronal mass ejections (CMEs). The modeling of the CME initiation includes magnetic shearing, kink instability, filament eruption, and magnetic reconnection in the flaring lower corona. The modeling of CME propagation entails interplanetary shocks, interplanetary particle beams, solar energetic particles (SEPs), geoeffective connections, and space weather. This review describes mostly existing models of groups that have committed their work to the STEREO mission, but is by no means exhaustive or comprehensive regarding alternative theoretical approaches.