Results 81 to 90 of about 3,501,569 (379)
A general method for solving linear matrix equations of elliptic biquaternions with applications
AIMS Mathematics, 2020 In this study, we obtain the real representations of elliptic biquaternion matrices. Afterwards, with the aid of these representations, we develop a general method to solve the linear matrix equations over the elliptic biquaternion algebra. Also we apply
Kahraman Esen Özen
doaj +1 more source
A Liouville theorem of degenerate elliptic equation and its application [PDF]
arXiv, 2012 In this paper, we apply the moving plane method to some degenerate elliptic equations to get a Liouville type theorem. As an application, we derive the a priori bounds for positive solutions of some semi-linear degenerate elliptic equations.
arxiv
Advanced Engineering Materials, EarlyView.Laser surface texturing significantly improves the corrosion resistance and mechanical strength of 3D‐printed iron polylactic acid (Ir‐PLA) for marine applications. Optimal laser parameters reduce corrosion by 80% and enhance tensile strength by 25% and ductility by 15%.
Mohammad Rezayat +6 more
wiley +1 more source
Advanced Engineering Materials, EarlyView.This article investigates optimal processing conditions for the laser‐based powder bed fusion of WE43. To limit the interaction with remaining oxygen, a 3 vol% hydrogen admixture to the inert gas is investigated. Furthermore, heat treatments are investigated in the range of 250–350 °C for 48 h.
Arvid Abel +9 more
wiley +1 more source
Elliptic Equations Involving Meausres [PDF]
Stationary Partial Differential equations, Volume 1, M. Chipot, P.
Quittner (Ed.) (2004) 593-712, 2008 We present the moste recent results dealing with the theory of semilinear elliptic equations with measures ...
arxiv
High‐Entropy Ti, Zr, Hf, Ta Multiphase Diboride with Deformation Resistance up to 2000 °C
Advanced Engineering Materials, EarlyView.Ceramics are brittle and strength decreases with temperature. The multiphase high‐entropy (Ti0.25Ta0.25Hf0.25Zr0.25)B2 with heterogeneity at the nano‐ and microscale demonstrates deformation resistance up to 2000 °C, with maximum bending strength at 1800 °C.
Petre Badica +3 more
wiley +1 more source
Journal of Applied Mathematics, 2013 A good idea of finding the exact solutions of the nonlinear evolution equations is introduced. The idea is that the exact solutions of the elliptic-like equations are derived using the simplest equation method and the modified simplest equation method ...
Yun-Mei Zhao, Ying-Hui He, Yao Long
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The Continuous Classical Optimal Control Problems for Triple Elliptic Partial Differential Equations
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2020 In this paper the Galerkin method is used to prove the existence and uniqueness theorem for the solution of the state vector of the triple linear elliptic partial differential equations for fixed continuous classical optimal control vector.
J. A. Al-Hawasy, Doaa Kateb Jasim
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On classification of the solutions for general elliptic equation [PDF]
arXiv, 2018 The B\"acklund transformations and the superposition formulas for two sub--equations of the general elliptic equation are constructed from the Riccati equation by using an indirect mapping method.The thirty-six previously known solutions of the general elliptic equation are proved to be equivalent to the another ten solutions.The classification of ...
arxiv
Advanced Engineering Materials, EarlyView.Laboratory protocols for producing thin‐film pH electrodes for sterilized single‐use technologies have been successfully developed into a semiautomated workflow, with higher throughput and precision of membrane thickness. Accuracies are within 0.05 pH units versus ground truth, and uncertainty analysis reveals the largest sources of error to be derived
Bingyuan Zhao +4 more
wiley +1 more source