Revistes Catalanes amb Accés Obert (RACO)

Le problème de Helmoltz pour des obstacles peu réguliers

C. Erba, R. Weber, M. Zinsmeister

Resum


The classical Helmholtz model for wakes behind an obstacle in perfect fluid mechanics boils down in complex analysis into a Riemann problem with free boundary, the free boundary being the wake and being such that the Riemann map parametrizes it as arclength parametrization. We generalize a method due to Coifman and Meyer [CM] to solve this problem for a class of non-smooth obstacles.

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