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A topological dichotomy with applications to complex analysis

Iosif Pinelis (2015)

Colloquium Mathematicae

Let X be a compact topological space, and let D be a subset of X. Let Y be a Hausdorff topological space. Let f be a continuous map of the closure of D to Y such that f(D) is open. Let E be any connected subset of the complement (to Y) of the image f(∂D) of the boundary ∂D of D. Then f(D) either contains E or is contained in the complement of E. Applications of this dichotomy principle are given, in particular for holomorphic maps, including maximum and minimum modulus principles,...

Integrated Design of an Active Flow Control System Using a Time-Dependent Adjoint Method

E.J. Nielsen, W.T. Jones (2011)

Mathematical Modelling of Natural Phenomena

An exploratory study is performed to investigate the use of a time-dependent discrete adjoint methodology for design optimization of a high-lift wing configuration augmented with an active flow control system. The location and blowing parameters associated with a series of jet actuation orifices are used as design variables. In addition, a geometric parameterization scheme is developed to provide a compact set of design variables describing the wing...

On the stability by convolution product of a resurgent algebra

Yafei Ou (2010)

Annales de la faculté des sciences de Toulouse Mathématiques

We consider the space of holomorphic functions at the origin which extend analytically on the universal covering of ω , ω . We show that this space is stable by convolution product, thus is a resurgent algebra.

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