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Dispersive water waves on graphs

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  • UserAndre Nachbin (IMPA - Instituto Nacional de Matemática Pura e Aplicada, Rio de Janeiro)
  • ClockTuesday 06 December 2022, 10:30-11:00
  • HouseSeminar Room 1, Newton Institute.

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HY2W05 - Physical applications

We have deduced a weakly nonlinear, weakly dispersive Boussinesq 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, where the main reach bifurcates into two reaches. The new nonlinear compatibility condition arises from a stationary shock condition. We present numerical simulations comparing solitary waves on the 1D graph model with results of the (parent) 2D model, where a compatibility condition is not needed. We will comment on some new problems and applications that arise.

This talk is part of the Isaac Newton Institute Seminar Series series.

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