Results 131 to 140 of about 2,229 (304)
Mathematical and Numerical Analysis of a Pair of Coupled Cahn-Hilliard Equations with a Logarithmic Potential [PDF]
, 2010 Mathematical and numerical analysis has been undertaken for a pair of coupled Cahn-Hilliard equations with a logarithmic potential and with homogeneous Neumann boundary conditions. This pair of coupled equations arises in a phase separation model of thin
AL-GHAFLI, AHMED,ALI,M
core
, 2022 We investigate the boundedness and regularity of solutions to degenerate elliptic equations with variable exponents that are subject to the Dirichlet boundary condition.
Ho, Ky, Truong, Le Xuan, Nhan, Le Cong
core
Advanced Science, EarlyView.A programmable 2048‐element circular ultrasound array combined with a compact acoustic lens produces a thin “sound sheet” over a large field of view, and records echoes with wide angular diversity across the ring aperture. Coherence‐enhanced beamforming converts full‐matrix data into high‐contrast tomographic slices, delivering near‐diffraction‐limited
Qiu‐De Zhang +11 more
wiley +1 more source
Global attractors for a class of degenerate diffusion equations
Electronic Journal of Differential Equations, 2003 In this paper we give two existence results for a class of degenerate diffusion equations with p-Laplacian. One is on a unique global strong solution, and the other is on a global attractor.
Shingo Takeuchi, Tomomi Yokota
doaj
Enhancing Maturation of Human Neuromuscular Organoids via Electrical Stimulation
Advanced Science, EarlyView.A framework for on‐demand and non‐invasive exposure of human neuromuscular organoids (NMOs) to electrical stimuli is established to promote their maturation. The robustness and effectiveness of different stimulation regimes are evaluated via thorough characterization of organoid tissue structure and contraction capacity. Chronic electrical stimulation,
Chrysanthi‐Maria Moysidou +12 more
wiley +1 more source
Electronic Journal of Differential Equations, 2012 We investigate the behavior of strong solutions to oblique derivative problems for degenerate linear second-order elliptic equations in a 3-dimensional bounded domain with a boundary conical point.
Mariusz Bodzioch
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Two‐Dimensional Triferroics: From Fundamental Couplings to Multifunctional Applications
Advanced Science, EarlyView.This graphic summarizes the three main types of currently reported 2D triferroic couplings. From the structural perspective, existing systems can be broadly classified into two categories, which exhibit distinct symmetry features and coupling behaviors. Beyond the lattice difference, a third type involves the interplay among ferroelectricity, magnetism,
Yang Li, Jialin Gong, Zhiqing Li
wiley +1 more source
Pseudo-monotonicity and degenerate elliptic operators of second order
Electronic Journal of Differential Equations, 2002 Extending the theory of pseudo-monotone mappings in weighted Sobolev spaces, we prove some existence results for degenerate or singular elliptic equations generated by the second-order differential operator $$ Au(x)=-mathop{m div}a(x,u,abla u))+a_0(x,u ...
Youssef Akdim, Elhoussine Azroul
doaj
Advanced Science, EarlyView.ABSTRACT Methane's efficient catalytic removal is vital for sustainable development. Bimetallic catalysts, though promising for methane activation, pose a design challenge due to their complex compositional space. This work introduces an integrated framework that combines high‐throughput density functional theory (DFT) and interpretable machine ...
Mingzhang Pan +8 more
wiley +1 more source
Boundary Value Problems, 2011 A system of elliptic equations which are irregularly degenerate at an inner point is considered in this article. The equations are weakly coupled by a matrix that has multiple zero eigenvalue and corresponding to it adjoint vectors.
Rutkauskas Stasys
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