Results 51 to 60 of about 15,351 (267)
Mathematics, 2020 In this article, a novel radial−based meshfree approach for solving nonhomogeneous partial differential equations is proposed. Stemming from the radial basis function collocation method, the novel meshfree approach is formulated by incorporating ...
Cheng-Yu Ku, Jing-En Xiao, Chih-Yu Liu
doaj +1 more source
Complete flagged homogeneous polynomials
, 2023 We introduce a new basis for the polynomial ring which lifts the complete homogeneous symmetric polynomials while retaining representation theoretic significance. Using a specialized RSK algorithm we give an explicit nonnegative expansion into key polynomials and, generalizing the special rim hook tabloids of Eğecioğlu and Remmel, give an explicit ...
openaire +2 more sources
Good rings and homogeneous polynomials
Journal of Commutative Algebra, 2022 In 2011, Khurana, Lam and Wang define the following property. (*)A commutative unital ring A satisfies the property ''power stable range one'' if for all a, b $\in$ A with aA + bA = A there are an integer N = N (a, b) $\ge$ 1 and $ $ = $ $(a, b) $\in$ A such that b N + $ $a $\in$ A x , the unit group of A.
Fresnel, Jean, Matignon, Michel
openaire +2 more sources
Humid‐Air Condensation Heat Transfer on Hierarchical Structured Superhydrophobic Graphite Composites
Advanced Materials Interfaces, EarlyView.Humid‐air condensation on graphite composites shows that making a surface superhydrophobic is not sufficient to enhance heat transfer. A hierarchical CuO/lauric‐acid coating yields spherical droplets but promotes Wenzel‐type pinning and adds effective thermal resistance under operation.
Raphael Raab +7 more
wiley +1 more source
Estimating the number of limit cycles for one step perturbed homogeneous degenerate centers
Extracta Mathematicae, 2023 We consider a homogeneous degenerate center of order 2m + 1 and perturb it by a homogeneous polynomial of order 2m. We study the Lyapunov constants around the origin to estimate the number of limit cycles.
M. MolaeiDerakhtenjani +2 more
doaj +2 more sources
Pattern Formation in Non‐Equilibrium Architected Materials
Advanced Materials Technologies, EarlyView.This article demonstrates an artificial mechanical system ‐ a robotic metamaterial ‐ as an accessible and versatile platform within which to explore and prescribe the reaction‐diffusion driven pattern formation hitherto associated with comparatively less accessible and versatile non‐equilibrium biological and chemical systems.
Vinod Ramakrishnan, Michael J. Frazier
wiley +1 more source
Limit cycles bifurcating from the periodic annulus of cubic homogeneous polynomial centers
Electronic Journal of Differential Equations, 2015 We obtain an explicit polynomial whose simple positive real roots provide the limit cycles which bifurcate from the periodic orbits of any cubic homogeneous polynomial center when it is perturbed inside the class of all polynomial differential systems
Jaume Llibre +2 more
doaj
Electronic Journal of Qualitative Theory of Differential Equations, 2019 In this work we prove, using averaging theory at any order in the small perturbation parameter, that the period annulus of the harmonic oscillator has cyclicity zero (no limit cycles bifurcate) when it is perturbed by any fixed homogeneous polynomial ...
Isaac García, Susanna Maza
doaj +1 more source
Advanced Materials Technologies, EarlyView.Waterborne polyurethane/graphene formulations are developed as piezoresistive coatings on glass fabric to enable flexible strain sensing. The graphene‐enabled conductive network provides a stable electromechanical response under cyclic compression. The coating demonstrates reliable pressure‐dependent resistance changes, highlighting its potential for ...
Vishnu Vijayan Pillai +8 more
wiley +1 more source
Results in Applied MathematicsThis paper presents a new approach to the L2(R) norm decay rates of the Fourier oscillatory integral operators for some classes of degenerate phases. In particular, the sharp norm decay rates of the Fourier oscillatory integral operators for homogeneous ...
Tuan Anh Pham +2 more
doaj +1 more source