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UNIVERSITY OF BUCHAREST
FACULTY OF PHYSICS Guest
2024-11-22 1:37 |
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Conference: Bucharest University Faculty of Physics 2024 Meeting
Section: Theoretical and Computational Physics, High-Energy Physics, Applied Mathematics
Title:
On the derivation of three singular integral equations arising in lifting wing theory
Authors:
Adrian STOICA
Affiliation:
University of Bucharest
E-mail
adst21@yahoo.com
Keywords:
Singular integral equations, Calderón-Zygmund operator, Holder functions
Abstract:
Singular integral operators play a significant role in the field of aerodynamics, particularly in the theory of lifting wings. They are of the type of integral operators where the kernel is singular and the sometimes the integrand becomes unbounded at some points within the domain of integration, which typically correspond to points of physical significance such as leading edge or trailing edge.
Singular integral operators arise when applying boundary conditions, such as the no-penetration condition on the surface of an airfoil or wing, which leads to integral equations with singular kernels. This step, of evaluating the limit, is usually carried out more or less formally. In this paper, we deal with three examples from theory of lifting wing where we shall proof rigurously these limit evaluations.
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