Open Access
2011 Le problème de Helmholtz pour des obstacles peu réguliers
Carole Erba, Régine Weber, Michel Zinsmeister
Publ. Mat. 55(1): 19-26 (2011).

Abstract

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 arc-length parametrization. We generalize a method due to Coifman and Meyer to solve this problem for a class of non-smooth obstacles.

Citation

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Carole Erba. Régine Weber. Michel Zinsmeister. "Le problème de Helmholtz pour des obstacles peu réguliers." Publ. Mat. 55 (1) 19 - 26, 2011.

Information

Published: 2011
First available in Project Euclid: 25 February 2011

zbMATH: 1355.30007

Subjects:
Primary: 30C20 , 32A37 , 76B10

Keywords: BMOA , free boundary , Helmholtz Wake , Riemann mapping theorem

Rights: Copyright © 2011 Universitat Autònoma de Barcelona, Departament de Matemàtiques

Vol.55 • No. 1 • 2011
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