Results 91 to 100 of about 6,277,731 (373)
We study the asymptotic behavior of the solutions of a spectral problem for the Laplacian in a domain with rapidly oscillating boundary. We consider the case where the eigenvalue of the limit problem is multiple.
A. G. Belyaev+42 more
core +1 more source
Conformally Perforated Shellular Metamaterials with Tunable Thermomechanical and Acoustic Properties
This study introduces Conformally Perforated Shellular Metamaterials (CPSMs), which overcome TPMS design limitations by mapping 2D cellular layouts onto 3D surfaces. CPSMs exhibit enhanced elastic stiffness, thermal conductivity, and acoustic performance compared to intact P‐type shellulars, demonstrating their potential as multifunctional ...
Benyamin Shahryari+8 more
wiley +1 more source
Boundary correlation function of fixed-to-free bcc operators in square-lattice Ising model
We calculate the boundary correlation function of fixed-to-free boundary condition changing operators in the square-lattice Ising model. The correlation function is expressed in four different ways using $2\times2$ block Toeplitz determinants.
+4 more
core +1 more source
Asymptotic Behavior of Higher-Order Quasilinear Neutral Differential Equations
We study asymptotic behavior of solutions to a class of higher-order quasilinear neutral differential equations under the assumptions that allow applications to even- and odd-order differential equations with delayed and advanced arguments, as well as to
Tongxing Li, Yuri V. Rogovchenko
semanticscholar +1 more source
Global solutions and asymptotic behavior for two dimensional gravity water waves [PDF]
This paper is devoted to the proof of a global existence result for the water waves equation with smooth, small, and decaying at infinity Cauchy data. We obtain moreover an asymptotic description in physical coordinates of the solution, which shows that ...
T. Alazard, Jean-Marc Delort
semanticscholar +1 more source
PerFluoroAlkyl Substances (PFAS) are responsible of major and persistent environmental pollution worldwide. This work demonstrates an ultra‐sensitive sensor for PFAS based on an organic transistor whose gate is functionalized with a binary self‐assembled monolayer containing a perfluorinated molecule.
Rian Zanotti+8 more
wiley +1 more source
Asymptotic integration of a linear fourth order differential equation of Poincaré type
This article deals with the asymptotic behavior of nonoscillatory solutions of fourth order linear differential equation where the coefficients are perturbations of constants.
Anibal Coronel+2 more
doaj +1 more source
Asymptotic Behavior of Automatic Quadrature
The authors examine the asymptotic complexity of computing an exact real representation of a definite integral by using an automatic integration routine. The complexity cost used in this analysis is the number \(N\) of function evaluations in real exact arithmetic seen as a function of the number \(E\) of exact decimal digits in the result.
ROMANI, FRANCESCO+3 more
openaire +4 more sources
Wrinkling of soft materials, such as polydimethylsiloxane (PDMS), underpins a myriad of technologies. Plasma‐oxidation of PDMS induces spontaneous wrinkling, which is canonically attributed to thermal expansion‐contraction of bilayers. Employing experiments and modelling, it is demonstrated that sorption of water vapor is instead responsible for ...
Zain Ahmad+8 more
wiley +1 more source
Complicated Asymptotic Behavior of Solutions for Heat Equation in Some Weighted Space
We investigate the asymptotic behavior of solutions for the heat equation in the weighted space Y0σ(ℝN)≡{φ∈C(ℝN):lim |x|→∞(1+|x|2)-σ/2φ(x)=0}.
Liangwei Wang, Jingxue Yin
doaj +1 more source