Results 71 to 80 of about 237,282 (288)

A two end family of solutions for the Inhomogeneous Allen-Cahn equation in R^2

, 2013
In this work we construct a family of entire bounded solution for the singulary perturbed Inhomogeneous Allen-Cahn Equation $\ep^2\div\left(a(x)\nabla u\right)-a(x)F'(u)=0$ in $\R^2$, where $\ep\to 0$.
Agudelo, Oscar, Zuniga, Andres
core   +2 more sources

High‐Temperature Nanoindentation of Metals: Assessing Thermal Drift, Frame Compliance, and Chemical Composition Effects on the Reported Mechanical Properties

Advanced Engineering Materials, EarlyView.
Do not let thermal drift and instrument artifacts deceive high‐temperature nanoindentation results. We compare classical Oliver–Pharr and automatic image recognition analyses across steels and a Ni alloy to quantify these effects. Accounting for artifacts reveals systematic softening with temperature, while Cr and Ni additions boost resistance ...
Velislava Yonkova, Steffen Brinckmann, Ruth Schwaiger   +2 more
wiley   +1 more source

Hyperbolic-parabolic singular perturbations in general regions

Le Matematiche, 1991
We consider a singular perturbations problem for the inhomogeneous damped wave equation and the inhomogeneous heat equation with moving boundary. We give rigorous and explicit estimates and show the uniform convergence.
Berardino D'Acunto
doaj  

Analytical method for solving linear abstract differential equations of order n

Partial Differential Equations in Applied Mathematics
In this paper, the concept of point-wise independent set of closed operators is introduced. The new concept together with the use of Hahn–Banach Theorem enable us to reduce an inhomogeneous linear abstract differential equation of order n namely, Anu(n ...
Waseem Ghazi Alshanti, Ma’mon Abu Hammad, Ahmad Alshanty, Roshdi Khalil   +3 more
doaj   +1 more source

Creep Properties and Deformation Mechanism of Additively Manufactured NiAl‐CrMo Composites

Advanced Engineering Materials, EarlyView.
Additively manufactured NiAl‐CrMo composites contain numerous interfaces and cell boundaries that control their creep response. At 700°C under high applied stress, creep is dominated by dislocation‐controlled power‐law mechanisms. At 800°C–900°C and lower stresses, creep is primarily diffusion‐controlled along cell boundaries.
Jan Vollhüter, Andreas Bezold, Johan Westraadt, Katharina Fiegl, Subham Chattoraj, Benjamin Wahlmann, Carolin Körner, Michael Mills, Mathias Göken, Steffen Neumeier   +9 more
wiley   +1 more source

Transferring the inhomogeneous wave equation into a homogeneous equation

, 2022
The inhomogeneous wave equation, triggered by point sources, forms the basis for the most modern computational techniques of seismic inversion. In this work, we propose to transfer the inhomogeneous wave equation into a homogeneous equation. We show that one can suppress the wavelet-based source term from the inhomogeneous equation in favour of setting
openaire   +2 more sources

Direct Metal Deposition of Graphene–Ti28Nb35.4Zr Matrix Composites With Enhanced Mechanical, Corrosion, and Biocompatibility Properties for Bone Implants

Advanced Engineering Materials, EarlyView.
Graphene nanoplatelet (0.1 wt.%) reinforcement significantly enhances the performance of β Ti‐28Nb‐35.4Zr alloy. Grain refinement, reduced water contact angle, and improved surface characteristics promote osteoblast adhesion and complete surface coverage after 7 days.
Khurram Munir, Jixing Lin, Yuncang Li, Li Zhu, Paul F. A. Wright, Cuie Wen   +5 more
wiley   +1 more source

Constraining smoothness parameter and the DD relation of Dyer-Roeder equation with supernovae

, 2013
Our real universe is locally inhomogeneous. Dyer and Roeder introduced the smoothness parameter $\alpha$ to describe the influence of local inhomogeneity on angular diameter distance, and they obtained the angular diameter distance-redshift approximate ...
Yang, Xi, Yu, Hao-Ran, Zhang, Tong-Jie
core   +1 more source

An Inhomogeneous Semilinear Equation in Entire Space

Journal of Differential Equations, 1996
This paper deals with the inhomogeneous semilinear equation \[ \Delta u+ u^p+ f(x)= 0\quad \text{in}\quad \mathbb{R}^n,\tag{E} \] \(u> 0\), \(p> 1\), \(n\in \mathbb{N}\) with \(n\geq 3\), \(f\in C(\mathbb{R}^n)\) with \(f\geq 0\) everywhere in \(\mathbb{R}^n\), \(f\not\equiv 0\).
openaire   +1 more source

Encyclopedia of 2D β′‐In2Se3 Growth Using Chemical Vapor Deposition: The Effects of Synthesis Parameters Onto Material Quality

Advanced Engineering Materials, EarlyView.
A distinct semi‐confined inner‐tube chemical vapor deposition geometry enables reproducible, large‐area growth of phase‐pure 2D β′‐In2Se3 from InI + Se precursors. Engineering local vapor transport and optimizing precursor delivery and temperature–time conditions yield uniform continuous films.
Dasun P. W. Guruge, P. Sanju S. Panawala, Joseph F. S. Fernando, Zhenhuan Chen, Chao Zhang, Dong‐Chen Qi, Liangzhi Kou, Konstantin L. Firestein, Dmitri V. Golberg   +8 more
wiley   +1 more source