Results 101 to 110 of about 683 (263)

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  

Helix Alignment, Chevrons, and Edge Dislocations in Twist‐Bend Ferroelectric Nematics

Advanced Science, EarlyView.
The recently discovered twist‐bend ferroelectric nematic (NTBF) is the new member of the multiferroic family, representing a fluid with an oblique helicoidal (heliconical) periodic structure of spontaneous electric polarization. The work presents a thorough exploration of the material properties of this phase, how the periodic modulation of ...
Bijaya Basnet, Priyanka Kumari, Sathyanarayana Paladugu, Damian Pociecha, Jakub Karcz, Przemysław Kula, Nataša Vaupotič, Ewa Górecka, Oleg D Lavrentovich   +8 more
wiley   +1 more source

Oblique derivative problems for degenerate linear second-order elliptic equations in a 3-dimensional bounded domain with a boundary conical point

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
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, Inês Afonso Martins, Ismail Amr El‐Shimy, Iacopo Bicci, Donatella Cea, Christina Bukas, Isra Mekki, Mara‐Camelia Rusu, Aylin Nebol, Ines Lahmann, Marie Piraud, Enrico Klotzsch, Mina Gouti   +12 more
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  

Light‐Imprinted Chirality in Nanomaterials: From Principles to Applications

Advanced Science, EarlyView.
Light‐induced chirality represents a transformative paradigm for fabricating chiral nanostructures. This review provides a comprehensive framework encompassing light‐based strategies for imprinting and tuning chirality in nanomaterials, which guides researchers in harnessing light to create next‐generation functional materials.
Xinru Jin, Emiliano Cortés, Alexander O. Govorov, Tao Ding   +3 more
wiley   +1 more source

On the solvability conditions of the first boundary value problem for a system of elliptic equations that strongly degenerate at a point

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
doaj  

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

Nonlinear anisotropic elliptic equations with variable exponents and degenerate coercivity

Electronic Journal of Differential Equations, 2018
In this article, we prove the existence and the regularity of distributional solutions for a class of nonlinear anisotropic elliptic equations with $p_i(x)$ growth conditions, degenerate coercivity and $L^{m(\cdot)}$ data, with $m(\cdot)$ being small,
Hocine Ayadi, Fares Mokhtari
doaj  

High‐Throughput Screening and Interpretable Machine Learning for Rational Design of Bimetallic Catalysts for Methane Activation

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, Tian Zhang, Jiawei Dong, Yubao Xie, Kaifeng Zhong, Wei Guan, Haiqiao Wei, Changcheng Fu, Yaqiong Su   +8 more
wiley   +1 more source