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SUMMARY:Pei Su (Charles University\, Faculty of Mathematics and Physics)
DTSTART:20230227T144000Z
DTEND:20230227T161000Z
DTSTAMP:20260405T175324Z
UID:NSCM/100
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NSCM/100/">A
 symptotic analysis of the system describing a small moving rigid body in v
 iscous incompressible fluid</a>\nby Pei Su (Charles University\, Faculty o
 f Mathematics and Physics) as part of Nečas Seminar on Continuum Mechanic
 s\n\nLecture held in Room K3\,  Faculty of Mathematics and Physics\, Charl
 es University\, Sokolovská 83  Prague 8..\n\nAbstract\nWe consider the in
 teraction between a viscous incompressible fluid and a\nsmall rigid body\,
  which is immersed in the fluid. The fluid is modeled by\nthe 3D Navier-St
 okes equations. The motion of the body obeys the conservation of linear an
 d angular momentum. We assume that the density of the\nbody is constant wh
 ich is independent of the size of the body ε. Based on\nthe L\np − L\nq
 \nestimate of the so-called fluid-structure semigroup\, we obtain a\nunifo
 rm estimate for the velocity of the body. In particular\, we show that\nth
 ese estimates are ε-invariant. This help us to construct an approximation
 \nsequence of the test functions of the fluid-body system. We prove that t
 he solution of the fluid-body system\, in appropriate sense\, converges to
  a solution\nof the Navier-Stokes equations as ε → 0.\nThis is a joint 
 work with Jiao He (Univerist´e Paris-Sud).\n
LOCATION:https://researchseminars.org/talk/NSCM/100/
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