The Wiener–Hopf technique, its generalizations and applications: constructive and approximate methods
This paper reviews the modern state of the Wiener–Hopf factorization method and its
generalizations. The main constructive results for matrix Wiener–Hopf problems are …
generalizations. The main constructive results for matrix Wiener–Hopf problems are …
Aerodynamic noise from rigid trailing edges with finite porous extensions
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 …
impermeable flat plates in an attempt to control trailing-edge noise through bio-inspired …
An explicit Wiener–Hopf factorization algorithm for matrix polynomials and its exact realizations within ExactMPF package
VM Adukov, NV Adukova… - Proceedings of the …, 2022 - royalsocietypublishing.org
We discuss an explicit algorithm for solving the Wiener–Hopf factorization problem for matrix
polynomials. By an exact solution of the problem, we understand the one constructed by a …
polynomials. By an exact solution of the problem, we understand the one constructed by a …
Utilization of the ExactMPF package for solving a discrete analogue of the nonlinear Schrödinger equation by the inverse scattering transform method
VM Adukov, G Mishuris - Proceedings of the Royal …, 2023 - royalsocietypublishing.org
We are revisiting the problem of solving a discrete nonlinear Schrödinger equation by the
inverse scattering transform method, by use of the recently developed ExactMPF package …
inverse scattering transform method, by use of the recently developed ExactMPF package …
On semi-infinite interface crack in bi-material elastic layer
K Ustinov - European Journal of Mechanics-A/Solids, 2019 - Elsevier
The problem of a strip, composed by two isotropic elastic layers, separated by a semi-infinite
crack located along the line between the layers, is considered. The elastic layers are …
crack located along the line between the layers, is considered. The elastic layers are …
[HTML][HTML] A mechanical model for thin sheet straight cutting in the presence of an elastic support
T Shugailo, A Nobili, G Mishuris - International Journal of Engineering …, 2023 - Elsevier
We study the mechanics of sheet straight cutting in terms of a linear elastic fracture
mechanics (LEFM) problem for a infinite thin elastic Kirchhoff plate partly supported by a …
mechanics (LEFM) problem for a infinite thin elastic Kirchhoff plate partly supported by a …
A proof that multiple waves propagate in ensemble-averaged particulate materials
AL Gower, ID Abrahams… - Proceedings of the …, 2019 - royalsocietypublishing.org
Effective medium theory aims to describe a complex inhomogeneous material in terms of a
few important macroscopic parameters. To characterize wave propagation through an …
few important macroscopic parameters. To characterize wave propagation through an …
The double PEC wedge problem: Diffraction and total far field
V Daniele, G Lombardi, RS Zich - IEEE Transactions on …, 2018 - ieeexplore.ieee.org
Complex scattering targets are often made by structures constituted of wedges that may
interact at near field. In this paper, we examine the scattering of a plane electromagnetic …
interact at near field. In this paper, we examine the scattering of a plane electromagnetic …
[HTML][HTML] Diffraction of acoustic waves by multiple semi-infinite arrays
Analytical methods are fundamental in studying acoustics problems. One of the important
tools is the Wiener-Hopf method, which can be used to solve many canonical problems with …
tools is the Wiener-Hopf method, which can be used to solve many canonical problems with …
Dynamic phenomena and crack propagation in dissimilar elastic lattices
Dynamic Mode III interfacial fracture in a dissimilar square-cell lattice, composed of two
contrasting mass-spring lattice half-planes joined at an interface, is considered. The fracture …
contrasting mass-spring lattice half-planes joined at an interface, is considered. The fracture …