Results 121 to 130 of about 5,976,249 (348)
3D Hyperbolic Kirigami Metamaterials With Tunable Auxeticity and Multistability
This study proposes a hyperbolic tessellation‐based structure that integrates TPMSs (Triply Periodic Minimal Surfaces, including SP: Schwarz Primitive, SD: Schwarz Diamond, and GY: Gyroid) with rotating rigid polygons, which enables 3D scalable deformation. The structure exhibits auxeticity and multistability, with a maximum volume expansion rate of up
Yu Lei+7 more
wiley +1 more source
Stationary dense operators in sequentially complete locally convex spaces
The purpose of this paper is to investigate the stationary dense operators and their connection to distribution semigroups and abstract Cauchy problem in sequentially complete spaces.Comment: arXiv admin note: substantial text overlap with arXiv:1610 ...
c, Marko Kosti\'+2 more
core
No‐regret and low‐regret control for a weakly coupled abstract hyperbolic system
Abstract This paper explores an optimal control problem of weakly coupled abstract hyperbolic systems with missing initial data. Hyperbolic systems, known for their wave‐like phenomena and complexity, become even more challenging with weak coupling between subsystems.
Meriem Louafi+3 more
wiley +1 more source
First‐order Sobolev spaces, self‐similar energies and energy measures on the Sierpiński carpet
Abstract For any p∈(1,∞)$p \in (1,\infty)$, we construct p$p$‐energies and the corresponding p$p$‐energy measures on the Sierpiński carpet. A salient feature of our Sobolev space is the self‐similarity of energy. An important motivation for the construction of self‐similar energy and energy measures is to determine whether or not the Ahlfors regular ...
Mathav Murugan, Ryosuke Shimizu
wiley +1 more source
Abstract Let (Mn,g)$(M^n,g)$ be a complete Riemannian manifold which is not isometric to Rn$\mathbb {R}^n$, has nonnegative Ricci curvature, Euclidean volume growth, and quadratic Riemann curvature decay. We prove that there exists a set G⊂(0,∞)$\mathcal {G}\subset (0,\infty)$ with density 1 at infinity such that for every V∈G$V\in \mathcal {G}$ there ...
Gioacchino Antonelli+2 more
wiley +1 more source
Abstract We analyse and clarify the finite‐size scaling of the weakly‐coupled hierarchical n$n$‐component |φ|4$|\varphi |^4$ model for all integers n≥1$n \ge 1$ in all dimensions d≥4$d\ge 4$, for both free and periodic boundary conditions. For d>4$d>4$, we prove that for a volume of size Rd$R^{d}$ with periodic boundary conditions the infinite‐volume ...
Emmanuel Michta+2 more
wiley +1 more source
"Empirical characteristic function approach to goodness-of-fit tests for the Cauchy distribution with parameters estimated by MLE or EISE" [PDF]
We consider goodness-of-fit tests of Cauchy distribution based on weighted integrals of the squared distance of the difference between the empirical characteristic function of the standardized data and the characteristic function of the standard Cauchy ...
Akimichi Takemura, Muneya Matsui
core
Quasi‐invariance of Gaussian measures for the 3d$3d$ energy critical nonlinear Schrödinger equation
Abstract We consider the 3d$3d$ energy critical nonlinear Schrödinger equation with data distributed according to the Gaussian measure with covariance operator (1−Δ)−s$(1-\Delta)^{-s}$, where Δ$\Delta$ is the Laplace operator and s$s$ is sufficiently large. We prove that the flow sends full measure sets to full measure sets. We also discuss some simple
Chenmin Sun, Nikolay Tzvetkov
wiley +1 more source
A review of multiscale numerical modeling of rock mechanics and rock engineering
Multiscale numerical methods of rock mechanics and rock engineering are reviewed, and the review results show that more attention should be paid to the development of an advanced constitutive model in addition to numerical techniques themselves. Abstract Rock is geometrically and mechanically multiscale in nature, and the traditional phenomenological ...
Xindong Wei, Zhe Li, Gaofeng Zhao
wiley +1 more source
Dynamics of quantum coherence in the Jaynes–Cummings model with quenched disorder
We have applied the quantum coherence theory to the Jaynes–Cummings model for three types of quenched disorder distribution: uniform, Gaussian, and Cauchy-Lorentz.
Jesus H. Warnes+3 more
doaj