报告题目： Global classical and weak solutions to the 3D fully compressible Navier-Stokes-Fourier system
报 告 人：黄祥娣副研究员中国科学院数学研究所
Abstract：We establish the global existence and uniqueness of classical solutions to the three-dimensional fully compressible Navier-Stokes-Fourier system with smooth ini- tial data which are of small energy but possibly large oscillations where the initial density is allowed to vanish. Moreover, for the initial data, which may be discontinuous and contain vacuum states, we also obtain the global existence of weak solutions. These results generalize previous ones on classical and weak solutions for initial density being strictly away from vacuum, and are the fi rst for global classical and weak solutions which may have large oscillations and can allow vacuum states.