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SUMMARY:On stability for the direct scattering problem and its application
 s to cloaking - Rondi\, L (Universit degli Studi di Trieste)
DTSTART:20140213T090000Z
DTEND:20140213T094500Z
UID:TALK50847@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:We consider the direct acoustic scattering problem with sound-
 hard scatterers. We discuss the stability of the solutions with respect to
  variations of the scatterer. The main tool we use for this purpose is the
  convergence in the sense of Mosco. As a consequence we obtain uniform dec
 ay estimates for scattered fields for a large class of admissible sound-ha
 rd scatterers. As a particular case\, we show how a sound-hard screen may 
 be approximated by thin sound-hard obstacles. This is a joint work with Gi
 orgio Menegatti. \n\nWe show that a sound-hard screen may be also approxim
 ated by using a thin lossy layer. This is a crucial step\, together with t
 ransformation optics\, for the construction of approximate full and partia
 l cloaking by inserting a lossy layer between the region to be cloaked and
  the observer. This is a joint work with Jingzhi Li\, Hongyu Liu and Gunth
 er Uhlmann.\n
LOCATION:Seminar Room 1\, Newton Institute
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