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SUMMARY:The physics of regularized Stokeslets - Andy Zhao (University of C
 ambridge)
DTSTART:20190502T151500Z
DTEND:20190502T153000Z
UID:TALK123910@talks.cam.ac.uk
CONTACT:Ferdia Sherry
DESCRIPTION:Green's functions (also called fundamental solutions) can be\n
 used to construct solutions to several differential equations arising in\n
 physics. These solutions\, however\, cannot be easily implemented on a\nco
 mputer due to the divergence of Green's functions. One popular way to\nove
 rcome this difficulty is to remove the singularities in Green's\nfunctions
 \, a process known as regularization or mollification. The\namount of regu
 larization is often controlled by a parameter\, called the\nregularization
  parameter. The significance of the parameter and the\nphysical change to 
 the Green's function are often not well understood.\nNevertheless\, they a
 re essential to a good understanding of the error\nintroduced in the regul
 arization process. In this talk\, I will discuss a\nspecific Green's funct
 ion in fluid mechanics - the Stokeslet. Its\nregularized versions\, called
  regularized Stokeslets\, have been\nextensively used in many flow problem
 s since the early 2000s. I will\nelucidate the physical significance of re
 gularized Stokeslets for\nvarious regularization schemes. If time permits\
 , I will explain the\nimplication for computation.
LOCATION:Centre for Mathematical Sciences\, MR2
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