Le problème de Helmoltz pour des obstacles peu réguliers
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Carole Erba
Université d'Orléans
Régine Weber
Université d'Orléans. Institut PRISME
Michel Zinsmeister
Université d'Orléans
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.