Results 51 to 60 of about 7,827 (194)
Aerodynamic noise from rigid trailing edges with finite porous extensions
, 2017 This paper investigates the effects of finite flat porous extensions to semi-infinite impermeable flat plates in an attempt to control trailing-edge noise through bio-inspired adaptations.
Ayton, L. J., Kisil, A. V.
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Topological coordination numbers and coordination reciprocity from electron‐density distributions
Acta Crystallographica Section A, Volume 81, Issue 3, Page 221-244, May 2025.An approach is presented to calculate topological coordination numbers (tCNs) obeying the principle of coordination reciprocity from solid angles subtended by the interatomic surfaces of electron density (QTAIM) atomic domains. The tCN approach characterizes a compound's coordination situation as a set of sub‐coordination scenarios with associated ...
Frank R. Wagner +2 more
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Iterative solutions of Wiener-Hopf integral equations [PDF]
Quarterly of Applied Mathematics, 1963 A method of iteration is used to study integral equations of the Wiener-Hopf type. In the case of a single integral equation, it is found that the iterative solution can be summed to give the known results. In the case of two coupled integral equations, where the general solution is not known, the iterative solution can be reduced to expressions in ...
Wu, Tai Te, Wu, Tai Tsun
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Dynamical Instabilities of Quasi-static Crack Propagation Under Thermal Stress [PDF]
, 2003 We address the theory of quasi-static crack propagation in a strip of glass that is pulled from a hot oven towards a cold bath. This problem had been carefully studied in a number of experiments that offer a wealth of data to challenge the theory.
Bouchbinder, Eran +2 more
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Advanced Photonics Research, Volume 6, Issue 4, April 2025.In this article, hybrid probabilistic and geometric constellation shaping to enhance spectral efficiency in coherent optical communication systems, particularly under a Wiener phase noise channel, is investigated. By integrating a two‐stage phase search algorithm with digital signal processing and gradient descent, the method outperforms geometrically ...
Zhiyang Liu +5 more
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Қарағанды университетінің хабаршысы. Математика сериясыThe work is devoted to the formulation and study of the solvability for a problem with missing conditions on the characteristic boundary of the domain and an analogue of the Frankl condition on the segment of the degeneracy for a hyperbolic equation ...
М. Мирсабуров +3 more
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Asymptotics of block Toeplitz determinants with piecewise continuous symbols
Communications on Pure and Applied Mathematics, Volume 78, Issue 1, Page 120-160, January 2025.Abstract We determine the asymptotics of the block Toeplitz determinants detTn(ϕ)$\det T_n(\phi)$ as n→∞$n\rightarrow \infty$ for N×N$N\times N$ matrix‐valued piecewise continuous functions ϕ$\phi$ with a finitely many jumps under mild additional conditions.
Estelle Basor +2 more
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KPZ equation, its renormalization and invariant measures [PDF]
, 2014 The Kardar-Parisi-Zhang (KPZ) equation is a stochastic partial differential equation which is ill-posed because the nonlinearity is marginally defined with respect to the roughness of the forcing noise.
Funaki, Tadahisa, Quastel, Jeremy
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IET Microwaves, Antennas &Propagation, Volume 19, Issue 1, January/December 2025.The diffraction by a finite parallel‐plate waveguide cavity with perfect electric conductor loading is rigorously analysed for the E‐polarised case using the Wiener–Hopf technique. Numerical computations of the radar cross‐section have been performed for different physical parameters, providing a detailed analysis of the scattering characteristics ...
Tong Zhang, Kazuya Kobayashi
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Equivalence of Variational Inequalities with Wiener-Hopf Equations [PDF]
Proceedings of the American Mathematical Society, 1991 We show that a variational inequality is equivalent to a generalized Wiener-Hopf equation in the sense that, if one of them has a solution so does the other one. Moreover, their solutions can be transformed to each other by a simple formula. Applications are considered.
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