Results 131 to 140 of about 5,079,022 (381)
Multiscale Modeling of Process‐Induced Defects in Fused Filament Fabrication‐Printed Materials
Advanced Engineering Materials, EarlyView.This study presents a predictive multiscale modeling tool for defect analysis of fused filament fabricated‐printed materials and their performance prediction using a mechanistic data science‐based reduced‐order modeling approach. Process‐induced defects are inherent to additively manufactured parts and significantly influence the performance of printed
Satyajit Mojumder +3 more
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The Second Critical Exponent for a Time-Fractional Reaction-Diffusion Equation
MathematicsIn this paper, we consider the Cauchy problem of a time-fractional nonlinear diffusion equation. According to Kaplan’s first eigenvalue method, we first prove the blow-up of the solutions in finite time under some sufficient conditions.
Takefumi Igarashi
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Infinitely many solutions to quasilinear Schrödinger equations with critical exponent
Electronic Journal of Qualitative Theory of Differential Equations, 2019 This paper is concerned with the following quasilinear Schrödinger equations with critical exponent: \begin{equation*}\label{eqS0.1} - \Delta _p u+ V(x)|u|^{p-2}u - \Delta _p(|u|^{2\omega}) |u|^{2\omega-2}u = a k(x)|u|^{q-2}u+b |u|^{2\omega p^{*}-2}
Li Wang, Jixiu Wang, Xiongzheng Li
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Critical Exponents of the Riesz Projection
Computational Methods and Function TheoryLet $\mathfrak{p}_d(q)$ denote the critical exponent of the Riesz projection from $L^q(\mathbb{T}^d)$ to the Hardy space $H^p(\mathbb{T}^d)$, where $\mathbb{T}$ is the unit circle. We present the state-of-the-art on the conjecture that $\mathfrak{p}_1(q) = 4(1-1/q)$ for $1 \leq q \leq \infty$ and prove that it holds in the endpoint case $q = 1$.
Brevig, Ole Fredrik +2 more
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From Nature to Engineering: Mortar Volume and Interfacial Mechanics in Bioinspired Ceramics
Advanced Engineering Materials, EarlyView.Inspired by natural armors like nacre, this study explores how varying the volume fraction of the soft mortar layer impacts the interfacial strength and toughness of bioinspired ceramics. Experimental and computational analysis reveals that higher mortar volumes increase energy dissipation but reduce interfacial stiffness, offering insights for ...
Ehsan Azad +4 more
wiley +1 more source
Critical exponent for the heat equation in alpha-modulation spaces
Electronic Journal of Differential Equations, 2016 In this article, we propose a method for finding the critical exponent for heat equations in $\alpha$-modulation space $M_{p,q}^{s,\alpha}$. We define an index $\sigma (s,p,q)$, and use it to determine the critical exponent of the heat equation. Then
Wang Zheng, Huang Qiang, Bu Rui
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Critical behavior of hadronic matter: Critical-point exponents [PDF]
, 1979 Helmut Satz
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Critical exponents: old and new
The Electronic Journal of Linear Algebra, 2012 For Hadamard and conventional powering, we survey past and current work on the existence and values of critical exponents (CEs) for such matrix classes as doubly nonnegative, totally positive, M- and inverse M-matrices. There are remarkable similarities and differences between Hadamard and conventional CEs for the various classes. real t if appropriate)
Charles Johnson, Olivia Walch
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Toughness of Confined Auxetic Foams
Advanced Engineering Materials, EarlyView.Auxetic (negative Poisson's ratio) materials offer benefits such as impact mitigation, thermal insulation, vibration damping, and reduced shear strain, although their fracture mechanics are largely unexplored. This study investigates damage initiation and propagation in confined re‐entrant auxetic foams from polyurethane via experimental ...
Adrianos E. F. Athanasiadis +3 more
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SciPost PhysicsWe study the ferromagnetic transverse-field Ising model with quenched disorder at $T = 0$ in one and two dimensions by means of stochastic series expansion quantum Monte Carlo simulations using a rigorous zero-temperature scheme.
Calvin Krämer, Jan Alexander Koziol, Anja Langheld, Max Hörmann, Kai Phillip Schmidt
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