Results 21 to 30 of about 133 (130)

The Wiener–Hopf perspective on embedding formula: reusing solutions of boundary value problems

Royal Society Open Science
Embedding formula allows solutions to be reused within a family of boundary value problems by expressing a family of solutions in terms of a small number of solutions. Such formulas have been previously derived in the context of diffraction by applying a
Andrey I. Korolkov, Anastasia V. Kisil
doaj   +1 more source

The Dynamics of Fast and Slow Earthquake Ruptures in Viscoelastic Materials

Journal of Geophysical Research: Solid Earth, Volume 130, Issue 6, June 2025.
Abstract Classical theories using linear elasticity predict that crack propagation asymptotically approaches a limiting speed, beyond which the energy balance becomes unphysical. However, geophysical and laboratory observations show that ruptures can propagate at either a very low, stable speed or a significantly high speed.
Huihui Weng
wiley   +1 more source

The reactance wave diffraction problem by a strip in a scale of Bessel potential spaces [PDF]

Opuscula Mathematica, 2006
We consider a boundary-transmission problem for the Helmholtz equation, in a Bessel potential space setting, which arises within the context of wave diffraction theory.
Luís P. Castro, David Natroshvili
doaj  

Quaternary stabilization of a GH2 β‐galactosidase from the psychrophile A. ikkensis, a flexible and unstable dimeric enzyme

Protein Science, Volume 34, Issue 5, May 2025.
Abstract Studies of cold‐active enzymes may elucidate the basis for low‐temperature activity and contribute to their wider application in energy‐efficient processes. Here we investigate the cold‐active GH2 β‐galactosidase from the psychrophilic bacterium Alkalilactibacillus ikkensis (AiLac).
Jan S. Nowak, Nikoline Kruuse, Helena Ø. Rasmussen, Pengfei Tian, Julie Astono, Søren Schultz‐Nielsen, Mariane S. Thøgersen, Peter Stougaard, Jan Skov Pedersen, Daniel E. Otzen   +9 more
wiley   +1 more source

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, Riccardo Freccero, Yuri Grin   +2 more
wiley   +1 more source

Optimized Hybrid Probabilistic and Geometric Constellation Shaping for Coherent Optical Communication Systems Using End‐to‐End Learning

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, Lu Zhang, Xiaoyu Liu, Shilin Xiao, Weiying Yang, Weisheng Hu   +5 more
wiley   +1 more source

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, Torsten Ehrhardt, Jani A. Virtanen   +2 more
wiley   +1 more source

Diffraction by a finite parallel‐plate waveguide cavity with perfect electric conductor loading: The case of E polarisation

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
wiley   +1 more source

Wiener-Hopf factorization and non-Hermitian topology for Amoeba formulation in one-dimensional multiband systems

Physical Review Research
The non-Hermitian skin effect, characterized by the extensive localization of bulk modes at the boundaries, has attracted significant attention as a hallmark feature of non-Hermitian topology.
Shin Kaneshiro, Robert Peters
doaj   +1 more source

Impedance of the unbaffled cylindrical pipe outlet for the plane wave incident at the outlet

Archives of Acoustics, 2016
The paper presents formulae for the impedance of the outlet of semi-infinite cylindrical wave-guide derived by considering the propagation of a plane wave and accounting for the generation of higher Bessel modes due to the diffraction at the opened end ...
Anna SANOWSKA
doaj