Results 41 to 50 of about 2,778 (162)

Noether symmetry approach to the non-minimally coupled $$Y(R)F^2$$ Y(R)F2 gravity

European Physical Journal C: Particles and Fields, 2020
We use Noether symmetry approach to find spherically symmetric static solutions of the non-minimally coupled electromagnetic fields to gravity. We construct the point-like Lagrangian under the spherical symmetry assumption.
Özcan Sert, Fatma Çeliktaş
doaj   +1 more source

New conservation laws of the Boussinesq and generalized Kadomtsev–Petviashvili equations via homotopy operator

Results in Physics, 2023
According to the tools of linear algebra and calculus of variations, the conservation laws of Boussinesq and generalized Kadomtsev–Petviashvili (gKP) equations are investigated using multipliers and scaling methods. Using the Euler–Lagrange operator, the
Mehdi Jafari, Somayesadat Mahdion, Ali Akgül, Sayed M. Eldin   +3 more
doaj   +1 more source

Nonsilting transport characteristics of coal slurry in a deep underground fluidization conveying pipeline under the action of a guide vane swirler

Deep Underground Science and Engineering, EarlyView.
Aiming at the scientific frontiers of in situ fluidized mining of deep resources, a deep coal fluidized pipeline lifting system based on hydraulic conveying has been proposed. To solve the issue of particle sedimentation of large particles in horizontal connection sections, a solution involving the installation of guide vane‐type swirlers in the ...
Jiusheng Bao, Shaodi Zhao, Yan Yin, Zhongbin Wang, Shuai Liu, Shirong Ge   +5 more
wiley   +1 more source

Design of HAWT Rotor for Non‐Uniform Inflow Conditions: A Theoretical and Experimental Approach for Shear Flow

Energy Science &Engineering, EarlyView.
This paper aims to provide a robust design approach for HAWTs operating in shear flow. This study fills a critical research gap by integrating BEM and vortex theories for blade design in non‐homogeneous inflow conditions. The authors of the paper made an effort to develop and test an experimentally unsophisticated model of a turbine working in shear ...
Agnieszka Dorota Woźniak, Piotr Strzelczyk, Taeseong Kim   +2 more
wiley   +1 more source

A General System of Euler–Lagrange-Type Quadratic Functional Equations in Menger Probabilistic Non-Archimedean 2-Normed Spaces

Abstract and Applied Analysis, 2011
We prove the generalized Hyers-Ulam-Rassias stability of a general system of Euler-Lagrange-type quadratic functional equations in non-Archimedean 2-normed spaces and Menger probabilistic non-Archimedean-normed spaces.
M. Eshaghi Gordji, M. B. Ghaemi, Y. J. Cho, H. Majani   +3 more
doaj   +1 more source

Local Polynomial Regression and Filtering for a Versatile Mesh‐Free PDE Solver

International Journal for Numerical Methods in Fluids, EarlyView.
A high‐order, mesh‐free finite difference method for solving differential equations is presented. Both derivative approximation and scheme stabilisation is carried out by parametric or non‐parametric local polynomial regression, making the resulting numerical method accurate, simple and versatile. Numerous numerical benchmark tests are investigated for
Alberto M. Gambaruto
wiley   +1 more source

A Geometric Interpretation for the Algebraic Properties of Second‐Order Ordinary Differential Equations

Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6912-6917, April 2025.
ABSTRACT Nowadays, a substantial portion of investigations concerning the symmetry analysis of differential equations predominantly adhere to a framework comprising the following key procedures: (i) the derivation of symmetries, (ii) the determination of an optimal system, (iii) the utilization of these symmetries to construct invariants or ...
A. Paliathanasis, S. Moyo, P. G. L. Leach   +2 more
wiley   +1 more source

Analytical Solutions for the Cardiac Extracellular‐Membrane‐Intracellular Model

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT The cardiac extracellular‐membrane‐intracellular (EMI) model is a novel mathematical framework for cardiac electrophysiology simulations. The cardiac EMI model provides a more detailed description of the heart's electrical activity compared to traditional monodomain and bidomain models, potentially making it better‐suited for understanding the
Carlos Ballesteros, Alexei Cheviakov, Raymond J. Spiteri   +2 more
wiley   +1 more source

Variational Problems with Partial Fractional Derivative: Optimal Conditions and Noether’s Theorem

Journal of Function Spaces, 2018
In this paper, the necessary and sufficient conditions of optimality for variational problems with Caputo partial fractional derivative are established. Fractional Euler-Lagrange equations are obtained.
Jun Jiang, Yuqiang Feng, Shougui Li
doaj   +1 more source

Dynamics Modeling of Robot Manipulators Based on Deep Lagrangian Network and Torque Separation Technique

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT In recent years, learning robot manipulator dynamics with deep networks has been extensively studied, as it avoids deriving the analytical expression of the robot dynamics equations. In particular, deep Lagrangian networks that incorporate the prior knowledge of Lagrangian mechanics into the deep networks have shown prominent advantages in ...
Xianglong Liang, Tianyu Gao, Zhikai Yao, Jianyong Yao   +3 more
wiley   +1 more source