题目：Hyperbolic Approximation of the Navier-Stokes-Fourier System: Hypocoercivity and Hybrid Besov Spaces
报告人：Prof. Crin-Barat Timothée（Friedrich-Alexander-Universität Erlangen-Nürnberg）
时间：2023年11月24日 （星期五） 13：45-14：30
摘要：We investigate the global well-posedness of partially dissipative hyperbolic systems and their associated relaxation limits. As we shall see, these systems can be interpreted as hyperbolic approximations of parabolic systems and provide an element of response to the infinite speed of propagation paradox arising in viscous fluid mechanics. To demonstrate this, we study a hyperbolic approximation of the multi-dimensional compressible Navier-Stokes-Fourier system and establish its hyperbolic-parabolic strong relaxation limit. For this purpose, we use techniques from the hypocoercivity theory and precise frequency decomposition of the solutions via the Littlewood-Paley theory. This is a joint work with S. Kawashima, J. Xu and E. Zuazua.