The critical exponent for generalized doubly nonnegative matrices
, 2016 It is known that the critical exponent (CE) for conventional, continuous powers of $n$-by-$n$ doubly nonnegative (DN) matrices is $n-2$. Here, we consider the larger class of diagonalizable, entry-wise nonnegative $n$-by-$n$ matrices with nonnegative ...
Han, Xuchen +2 more
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Uniqueness and nondegeneracy of ground states to nonlinear scalar field equations involving the Sobolev critical exponent in their nonlinearities for high frequencies [PDF]
, 2019 Takafumi Akahori +9 more
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Advanced Engineering Materials, EarlyView.The puncture prevention and energy absorption performance of composite metal foam (CMF) are studied experimentally and numerically for hazardous materials transportation protection. The numerical model implementing air within the CMF (nonhomogeneous model using fluid cavity technique) predicts puncture more accurately compared to the homogeneous CMF ...
Aman Kaushik, Afsaneh Rabiei
wiley +1 more source
On critical exponents for the Pucci’s extremal operators
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2003 In this article we study some results on the existence of radially symmetric, non-negative solutions for the nonlinear elliptic equation \tag{$*$} \mathcal M_{\lambda ,\Lambda }^{ + }\left(D^{2}u\right) + u^{P} = 0 \quad \text{in }\mathbb{R}^{N}. Here
Felmer, Patricio L., Quaas, Alexander
openaire +2 more sources
Experimental Analysis and Physics‐Based Analytical Model on Twisted and Coiled Artificial Muscles
Advanced Engineering Materials, EarlyView.Twisted and coiled artificial muscles made from silver‐coated nylon fibers are investigated through experiments and analytical modeling. The actuators achieve contractions up to 19.3% and specific work of 8 kJ kg−1, though efficiency remains limited (≈0.15%) by thermal losses.
Salvatore Garofalo +3 more
wiley +1 more source
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
doaj +1 more source
Geodesic distance for right-invariant metrics on diffeomorphism groups: critical Sobolev exponents [PDF]
, 2019 Robert L. Jerrard +3 more
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A Positron Lifetime Study of Cooling and Natural Aging of Solutionized Aluminum Alloys
Advanced Engineering Materials, EarlyView.The process during cooling of Al–Mg and Al–Mg–Si alloys from the solutionizing temperature down to 20 °C is interrupted. These states are analyzed with positron lifetime spectroscopy to trace the processes during cooling. In different temperature ranges, two stages of vacancy loss and solute clustering are identified.
Zi Yang, Mengjie Li, John Banhart
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
doaj
Existence and classification of positive solutions for coupled purely critical Kirchhoff system
Bulletin of Mathematical SciencesWe study the nonlinear coupled Kirchhoff system with purely Sobolev critical exponent. By using appropriate transformation, we get one equivalent system involving a critical Schrödinger system and an algebraic system.
Yahui Gao, Xiao Luo, Maoding Zhen
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