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SUMMARY:Dispersive water waves on graphs - Andre Nachbin (IMPA - Instituto
  Nacional de Matemática Pura e Aplicada\, Rio de Janeiro)
DTSTART:20221206T103000Z
DTEND:20221206T110000Z
UID:TALK183767@talks.cam.ac.uk
DESCRIPTION:We have deduced a weakly nonlinear\, weakly dispersive Boussin
 esq system for water waves on a 1D branching channel\, namely on a graph. 
 The model required a new compatibility condition at the graph's node\, whe
 re the main reach bifurcates into two reaches. The new nonlinear compatibi
 lity condition arises from a stationary shock condition. We present numeri
 cal simulations comparing solitary waves on the 1D graph model with result
 s of the (parent) 2D model\, where a compatibility condition is not needed
 . We will comment on some new problems and applications that arise.
LOCATION:Seminar Room 1\, Newton Institute
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