Commutants of the Pommiez operator by Ivan H. Dimovski, Valentin Z. Hristov

“…The Pommiez operator (Δf)(z)=(f(z)−f(0))/z is considered in the space ℋ(G) of the holomorphic functions in an arbitrary finite Runge domain G. A new proof of a representation formula of Linchuk of the commutant of Δ in ℋ(G) is given. …”
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On the Ground State to Hamiltonian Elliptic System with Choquard’s Nonlinear Term by Wenbo Wang, Jianwen Zhou, Yongkun Li

“…In the present paper, we consider the following Hamiltonian elliptic system with Choquard’s nonlinear term −Δu+Vxu=∫ΩGvy/x−yβdygv in Ω,−Δv+Vxv=∫ΩFuy/x−yαdyfu in Ω,u=0,v=0 on ∂Ω,where Ω⊂ℝN is a bounded domain with a smooth boundary, 0<α<N, 0<β<N, and F is the primitive of f, similarly for G. …”
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Transient disturbances in a relaxing thermoelastic half space due to moving internal heat source by Sarbani Chakravorty, Amitava Chakravorty

“…Using Fourier and Laplace transforms, the solution for the displacements have been obtained in the transform domain. The displacements have been calculated on the boundary surface for small time.…”
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Navigating the Jungle of Possibilities: How to Protect Citizens from Soaring Energy Prices by Nadine Riedel, Andreas Peichl

“…In this article, we discuss pros and cons of different government policies to protect affected citizens. There is a vast domain of possible relief options, each coming with its own trade-offs and design pitfalls. …”
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Corrigendum: Jeremiah 29:5-7 reread through the lens of posttraumatic growth by X. Li

“…Accordingly, the exhortation to settle down reflects the domain of appreciation of life in PTG, and the exhortation to pray for Babylon indicates the belief in a just world for self (BJW-self), which is closely related to PTG and entails forgiving others. …”
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Natural Frequencies of a Cracked Beam Coupled with a Compressible Sloshing Fluid by Michele Di Sciuva, Cecilia Surace

“…The coupled system is subject to undisturbed boundary condition at infinity in the fluid domain. A range of different boundary conditions have been analysed such as both incompressible and compressible fluid, with and without sloshing. …”
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A mixed system modeling two-directional pedestrian flows by Paola Goatin, Matthias Mimault

“…In this article, we present a simplified model to describe the dynamics of two groups of pedestrians moving in opposite directions in a corridor.The model consists of a $2\times 2$ system of conservation laws of mixed hyperbolic-elliptic type.We study the basic properties of the system to understand why and how bounded oscillations in numerical simulations arise.We show that Lax-Friedrichs scheme ensures the invariance of the domain and we investigate the existence of measure-valued solutionsas limit of a subsequence of approximate solutions.…”
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An Adjustable Zero Vibration Input Shaping Control Scheme for Overhead Crane Systems by Abdullah Mohammed, Khalid Alghanim, Masood Taheri Andani

“…The new shaper enhances the design flexibility and operational domain of the shaper, while it inherits the robustness properties and computational efficiency of the ZV scheme. …”
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Complete Self-Shrinking Solutions for Lagrangian Mean Curvature Flow in Pseudo-Euclidean Space by Ruiwei Xu, Linfen Cao

“…Let f(x) be a smooth strictly convex solution of det(∂2f/∂xi∂xj)=exp(1/2)∑i=1nxi(∂f/∂xi)-f defined on a domain Ω⊂Rn; then the graph M∇f of ∇f is a space-like self-shrinker of mean curvature flow in Pseudo-Euclidean space Rn2n with the indefinite metric ∑dxidyi. …”
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Comparing First-Order Microscopic and Macroscopic Crowd Models for an Increasing Number of Massive Agents by Alessandro Corbetta, Andrea Tosin

“…The main result is that the two types of models approach one another in the limit N→∞, provided the strength and/or the domain of pedestrian interactions are properly modulated by N at either scale. …”
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Decoupling the Stationary Navier-Stokes-Darcy System with the Beavers-Joseph-Saffman Interface Condition by Yong Cao, Yuchuan Chu, Xiaoming He, Mingzhen Wei

“…This paper proposes a domain decomposition method for the coupled stationary Navier-Stokes and Darcy equations with the Beavers-Joseph-Saffman interface condition in order to improve the efficiency of the finite element method. …”
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Performance Analysis of a Hybrid One-Sided Magnetic Exciter Mounted on a Piezoelectric Stack by A. Nandi, S. Neogy

“…A SIMULINK model of the combined structure and the exciter is developed for a full time-domain simulation of the excitation system.…”
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Boundedness of Singular Integral Operators with Operator-Valued Kernels and Maximal Regularity of Sectorial Operators in Variable Lebesgue Spaces by Qinghua Zhang, Yueping Zhu, Feng Wang

“…Finally, a type of semilinear evolution equations with domain-varying nonlinearities is taken into account.…”
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The Conical Radial Basis Function for Partial Differential Equations by J. Zhang, F. Z. Wang, E. R. Hou

“…In contrast to the traditional conical radial basis function method, where the collocation points are placed uniformly or quasi-uniformly in the physical domain of the boundary value problems in question, we consider three different Chebyshev-type schemes to generate the collocation points. …”
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Masques de Chine, visages du nuo : du patrimoine à l’art premier by Sylvie Beaud

“…After their use had been prohibited for nearly two decades, Chinese masks, used mainly in rituals, made their reappearance in the public domain thanks to a relaxation of religious policy the 1980s. …”
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Common Questions When Using Soil Moisture Sensors for Citrus and Other Fruit Trees by Eric Herrera, Sandra M. Guzmán, Eduart Murcia

“…The 4-page publication focuses on two types of handheld sensors currently used in Florida for irrigation management of citrus and other trees: the transmission line oscillator (TLO) and time-domain transmissometer (TDT). Written by Eric Herrera, Sandra M. …”
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The Normality Criteria of Meromorphic Functions Concerning Shared Fixed-Points by Wei Chen, Qi Yang, Wen-jun Yuan, Hong-gen Tian

“…We study the normality criteria of meromorphic functions concerning shared fixed-points; we obtain the following: Let ℱ be a family of meromorphic functions defined in a domain D and k≥2 a positive integer. For every f∈ℱ, all zeros of f are of multiplicity at least k+2 and all poles of f are multiple. …”
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Parameters Approach Applied on Nonlinear Oscillators by Najeeb Alam Khan, Fatima Riaz, Nadeem Alam Khan

“…The solution procedure is simple, and the results obtained are valid for the whole solution domain.…”
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Topological defects in f(T) theory of gravity by S. P. Hatkar, D. P. Tadas, S. D. Katore

“…Abstract In this paper, we investigate the behaviour of domain walls and one-dimensional cosmic string with locally rotationally symmetric (LRS) Bianchi type-I metric in the context of f(T) gravity. …”
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Global Existence of Solutions for the Viscoelastic Kirchhoff Equation with Logarithmic Source Terms by Nadia Mezouar, Salah Mahmoud Boulaaras, Ali Allahem

“…In this paper, a nonlinear viscoelastic Kirchhoff equation in a bounded domain with a time-varying delay term and logarithmic nonlinearity in the weakly nonlinear internal feedback is considered, where the global and local existence of solutions in suitable Sobolev spaces by means of the energy method combined with Faedo-Galerkin procedure is proved with respect to the condition of the weight of the delay term in the feedback and the weight of the term without delay and the speed of delay. …”
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