Le problème de Helmoltz pour des obstacles peu réguliers

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Carole Erba
Régine Weber
Michel Zinsmeister
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.
Paraules clau
Helmholtz Wake, BMOA, Riemann mapping theorem, Free boundary

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Com citar
Erba, Carole et al. «Le problème de Helmoltz pour des obstacles peu réguliers». Publicacions Matemàtiques, 2011, vol.VOL 55, núm. 1, p. 19-26, http://raco.cat/index.php/PublicacionsMatematiques/article/view/217240.