Results 71 to 80 of about 1,545,883 (293)
Advanced Science, EarlyView.This study combines full‐field tomography with diffraction mapping to quantify radial (ε002$\varepsilon _{002}$) and axial (ε100$\varepsilon _{100}$) lattice strain in wrinkled carbon‐fiber specimens for the first time. Radial microstrain gradients (−14.5 µεMPa$\varepsilon \mathrm{MPa}$−1) are found to signal damage‐prone zones ahead of failure, which ...
Hoang Minh Luong +7 more
wiley +1 more source
Fractal Dimension of a Random Invariant Set and Applications
Journal of Applied Mathematics, 2013 We prove an abstract result on random invariant sets of finite fractal dimension. Then this result is applied to a stochastic semilinear degenerate parabolic equation and an upper bound is obtained for the random attractors of fractal dimension.
Gang Wang, Yanbin Tang
doaj +1 more source
Phase Diagrams and Piezoelectric Properties of Wurtzite Al1−x−yScxGdyN Heterostructural Alloys
Advanced Science, EarlyView.This study demonstrates ferroelectricity and piezoelectric properties improvement of quaternary wurtzite Al1−x−yScxGdyN${\rm Al}_{1-x-y}{\rm Sc}_x{\rm Gd}_y{\rm N}$ films, guided by density functional theory calculations. Wurtzite Al1−x−yScxGdyN${\rm Al}_{1-x-y}{\rm Sc}_x{\rm Gd}_y{\rm N}$ films have a high optical bandgap, enhanced piezoelectric ...
Julia L. Martin +11 more
wiley +1 more source
Existence of solutions for a degenerate seawater intrusion problem
Electronic Journal of Differential Equations, 2005 We study a seawater intrusion problem in a confined aquifer. This process can be formulated as a coupled system of partial differential equations which includes an elliptic and a degenerate parabolic equation.
Mohamed El Alaoui Talibi +1 more
doaj
On Tricomi Problem of Chaplygin’s Hodograph Equation
Abstract and Applied Analysis, 2015 The existence and uniqueness results for the Tricomi problem of Chaplygin’s hodograph equation are shown, in the case that the domain considered is close to the parabolic degenerate line, by adopting the energy integral methods and choosing judiciously ...
Meng Xu, Li Liu, Hairong Yuan
doaj +1 more source
Physics‐Informed Neural Network‐Enabled Forward Prediction and Inverse Design of Ring Origami
Advanced Science, EarlyView.This work presents a KRT‐PINN framework that integrates Kirchhoff rod theory with physics‐informed neural networks for the forward prediction and inverse design of ring origami consisting of closed‐loop rods. The framework predicts stable states of segmented rings with prescribed natural‐curvature profiles and determines the natural‐curvature profiles ...
Luyuan Ning +3 more
wiley +1 more source
Global attractor for a semilinear parabolic equation involving Grushin operator
Electronic Journal of Differential Equations, 2008 The aim of this paper is to prove the existence of a global attractor for a semilinear degenerate parabolic equation involving the Grushin operator.
Phan Quoc Hung +3 more
doaj
Моделирование и анализ информационных систем, 2017 We consider a boundary-value problem for a singularly perturbed parabolic equation with an initial function independent of a perturbation parameter in the case where a degenerate stationary equation has smooth possibly intersecting roots.
Mikhail A. Terentyev
doaj +1 more source
Quasilinear degenerate parabolic equations in unbounded domains [PDF]
, 2004 We prove the existence of bounded solutions of Cauchy-Dirichlet problem associated to a degenerate parabolic equation of second order in divergence form in unbounded ...
BONAFEDE, Salvatore, NICOLOSI, Filippo
core
, 2013 We discuss a pseudo-parabolic equation modelling two-phase flow in porous media, which includes dynamic effects in the capillary pressure. We extend the results obtained previously for linear higher order terms and investigate the existence of travelling
Fan, Y. +3 more
core +1 more source