Results 41 to 50 of about 30,910 (222)

Nontrivial Solutions for Time Fractional Nonlinear Schrödinger-Kirchhoff Type Equations

Discrete Dynamics in Nature and Society, 2017
We study the existence of solutions for time fractional Schrödinger-Kirchhoff type equation involving left and right Liouville-Weyl fractional derivatives via variational methods.
N. Nyamoradi, Y. Zhou, E. Tayyebi, B. Ahmad, A. Alsaedi   +4 more
doaj   +1 more source

Ground state solutions for a quasilinear Kirchhoff type equation

Electronic Journal of Qualitative Theory of Differential Equations, 2016
We study the ground state solutions of the following quasilinear Kirchhoff type equation \[ -\left(1+b\int_{\mathbb{R}^{3}}|\nabla u|^2dx\right)\Delta u + V(x)u-[\Delta(u^2)]u=|u|^{10}u+\mu |u|^{p-1}u,\qquad x\in \mathbb{R}^3, \] where $b\geq 0$ and $\mu$
Hongliang Liu, Haibo Chen, Qizhen Xiao
doaj   +1 more source

Existence results of positive solutions for Kirchhoff type equations via bifurcation methods

, 2017
In this paper we address the following Kirchhoff type problem \begin{equation*} \left\{ \begin{array}{ll} -\Delta(g(|\nabla u|_2^2) u + u^r) = a u + b u^p& \mbox{in}~\Omega, u>0& \mbox{in}~\Omega, u= 0& \mbox{on}~\partial\Omega, \end{array} \right.
Cintra, Willian, Júnior, João R. Santos, Siciliano, Gaetano, Suárez, Antonio   +3 more
core   +1 more source

Rafting of Ni‐Based Superalloys Under Multiaxial Load as Understood by Phase‐Field Simulations and Critical Experiments

Advanced Engineering Materials, EarlyView.
Phase‐field simulations coupled with dislocation‐density‐based crystal plasticity modeling reproduce γ′ rafting behavior in single‐crystal Ni‐based superalloys under varied loading conditions. The model captures both macroscopic creep and microscopic morphology evolution, with results matching high‐temperature creep experiments.
Micheal Younan, David Bürger, Gunther Eggeler, Oleg Shchyglo, Ingo Steinbach, Muhammad Adil Ali   +5 more
wiley   +1 more source

Existence and multiplicity of entire solutions for fractional p-Kirchhoff equations

Advances in Nonlinear Analysis, 2016
The purpose of this paper is mainly to investigate the existence of entire solutions of the stationary Kirchhoff type equations driven by the fractional p-Laplacian operator in ℝN.
Pucci Patrizia, Xiang Mingqi, Zhang Binlin   +2 more
doaj   +1 more source

Dynamics of nonlinear hyperbolic equations of Kirchhoff type

Calculus of Variations and Partial Differential Equations, 2022
In this paper, we study the initial boundary value problem of the important hyperbolic Kirchhoff equation $$u_{tt}-\left(a \int_ |\nabla u|^2 \dif x +b\right) u = u+ |u|^{p-1}u ,$$ where $a$, $b>0$, $p>1$, $ \in \mathbb{R}$ and the initial energy is arbitrarily large.
Chen, Jianyi, Sun, Yimin, Xiu, Zonghu, Zhang, Zhitao   +3 more
openaire   +3 more sources

Phase Field Failure Modeling: Brittle‐Ductile Dual‐Phase Microstructures under Compressive Loading

Advanced Engineering Materials, EarlyView.
The approach by Amor and the approach by Miehe and Zhang for asymmetric damage behavior in the phase field method for fracture are compared regarding their fitness for microcrack‐based failure modeling. The comparison is performed for the case of a dual‐phase microstructure with a brittle and a ductile constituent.
Jakob Huber, Jan Torgersen, Ewald Werner
wiley   +1 more source

Exact solutions and bifurcation curves of nonlocal elliptic equations with convolutional Kirchhoff functions

Boundary Value Problems
We study the one-dimensional nonlocal elliptic equation of Kirchhoff type with convolutional Kirchhoff functions. We establish the exact solutions u λ $u_{\lambda}$ and bifurcation curves λ ( α ) $\lambda (\alpha )$ , where α : = ∥ u λ ∥ ∞ $\alpha ...
Tetsutaro Shibata
doaj   +1 more source

Asymptotic Behavior of the Kirchhoff Type Stochastic Plate Equation on Unbounded Domains

Complexity, 2022
In this paper, we study the asymptotic behavior of solutions to the Kirchhoff type stochastic plate equation driven by additive noise defined on unbounded domains.
Xiaobin Yao, Zhang Zhang
doaj   +1 more source

All‐in‐One Analog AI Hardware: On‐Chip Training and Inference with Conductive‐Metal‐Oxide/HfOx ReRAM Devices

Advanced Functional Materials, EarlyView.
An all‐in‐one analog AI accelerator is presented, enabling on‐chip training, weight retention, and long‐term inference acceleration. It leverages a BEOL‐integrated CMO/HfOx ReRAM array with low‐voltage operation (<1.5 V), multi‐bit capability over 32 states, low programming noise (10 nS), and near‐ideal weight transfer.
Donato Francesco Falcone, Victoria Clerico, Wooseok Choi, Tommaso Stecconi, Folkert Horst, Laura Bégon‐Lours, Matteo Galetta, Antonio La Porta, Nikhil Garg, Fabien Alibart, Bert Jan Offrein, Valeria Bragaglia   +11 more
wiley   +1 more source