简介: |
摘要: The motion of isentropic flow through porous media can be described by compressible Euler equations with frictional damping. Time asymptotically, the density is conjectured to satisfy the porous media equation and the momentum obeys the classical Darcy's law.Previous results are valid for small smooth flow away from vacuum. In first half of the talk, we report a proof for all physical flows. In the second half of the talk, we report the global BV theory for this system, which has been open for decades. The talk is based on a set of joint papers with Huang, Marcati, Dafermos, and Zhao.
简介: Ronghua Pan obtained his Ph.D (1998) from Institute of Mathematics, Chinese Academy of Sciences. He was a postdoc fellow in SISSA from 1998--2000. He was a visiting assistant professor at University of Michigan from 2000 to 2003. He was hired to Georgia Institute of Technology since 2003. He is now an associate professor with tenure.
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清华大学周培源应用数学研究中心
唐 琳
TEL:62797063
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