日 期:09.02下午4:00-5:00
报告人:Dr. Lv Yong (Institute of Mathematics, Czech Academy of Sciences)
题 目:The inverse of the divergence operator on perforated domains with
applications to homogenization problems for the compressible
Navier-Stokes system
摘 要:We study the inverse of the divergence operator on a domain Ω ⊂ R3 perforated by a system of tiny holes. We show that such inverse can be constructed on the Lebesgue space L p (Ω) for any 1 < p < 3, with a norm independent of perforation, provided the holes are suitably small and their mutual distance suitably large. Applications are given to problems arising in homogenization of steady compressible fluid flows.
地 点:晨兴数学中心410室
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