Results 61 to 70 of about 1,585 (264)

On stability with respect to boundary conditions for anisotropic parabolic equations with variable exponents

Boundary Value Problems, 2018
The anisotropic parabolic equations with variable exponents are considered. If some of diffusion coefficients {bi(x)} $\{b_{i}(x)\}$ are degenerate on the boundary, the others are always positive, then how to impose a suitable boundary value condition is
Huashui Zhan
doaj   +1 more source

Optimal regularity for a class of singular abstract parabolic equations

Journal of Differential Equations, 2007
A general class of singular abstract Cauchy problems is considered which naturally arises in applications to certain Free Boundary Problems. Existence of an associated evolution operator characterizing its solutions is established and is subsequently used to derive optimal regularity results. The latter are well known to be important basic tools needed
openaire   +2 more sources

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

Microscale Mapping of Fiber Strain and Damage in Composite Wrinkled Laminates Using Computed Tomography Assisted Wide‐Angle X‐Ray Scattering

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, James Trevarthen, Igor Dolbnya, Wadwan Singhapong, Nicholas Pilato, Richard Butler, Jiraphant Srisuriyachot, Alexander J. G. Lunt   +7 more
wiley   +1 more source

Well-Posedness of the First Order of Accuracy Difference Scheme for Elliptic-Parabolic Equations in Hölder Spaces

Abstract and Applied Analysis, 2012
A first order of accuracy difference scheme for the approximate solution of abstract nonlocal boundary value problem −𝑑2𝑢(𝑡)/𝑑𝑡2+sign(𝑡)𝐴𝑢(𝑡)=𝑔(𝑡), (0≤𝑡≤1), 𝑑𝑢(𝑡)/𝑑𝑡+sign(𝑡)𝐴𝑢(𝑡)=𝑓(𝑡), (−1≤𝑡≤0), 𝑢(0+)=𝑢(0−),𝑢(0+)=𝑢(0−),and𝑢(1)=𝑢(−1)+𝜇 for differential ...
Okan Gercek
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, Cheng‐Wei Lee, Nate S.P. Bernstein, Thi Nguyen, Ande Bryan, Eli Cooper, John S. Mangum, Sage R. Bauers, Andriy Zakutayev, Keisuke Yazawa, Prashun Gorai, Rebecca W. Smaha   +11 more
wiley   +1 more source

Field‐Free Spin‐Splitting‐Torque Driven Stochastic Neuron Mimicking the Neuromorphic Imagination for High‐Performance Recognition

Advanced Science, EarlyView.
The human brain's imagination, which enables autonomous driving hazard avoidance by completing missing visual information, relies on Gaussian‐stochastic neuron. We report the altermagnetic RuO2 spintronic neurons integrating field‐free switching and intrinsic Gaussian stochasticity, building an all‐spin ANN for high‐quality image repairing and high ...
Junwei Zeng, Baoshan Cui, Xi Guo, Jiahao Liu, Xiaoyu Feng, Liang Fang, Li Xi, Xiaolong Fan, Xiaoxi Liu, Yang Guo   +9 more
wiley   +1 more source

Decay estimates and extinction properties of parabolic equations with classical and fractional time derivatives

Electronic Journal of Differential Equations
In this article, we study the decay estimates and extinction properties of weak solutions to some parabolic equations with classical and fractional time derivatives.
Fanmeng Meng, Xian-Feng Zhou
doaj  

An Embodied Paper‐Based Microfluidic Al‐Air Battery for Enduring Untethered Insect‐Scale Robots

Advanced Science, EarlyView.
This work presents a centimeter‐scale microfluidic aluminum–air battery (MFAAB) with dual‐surface anode and F−‐mediated byproduct decomposition. The design enables a high capacity of 2697.05 mAh/g Al and delivers tens of milliwatts to power LEDs, motors, and a toy car.
Yun Yang, Tao Jiang, Zhongyue Lu, Dapeng Fan, Zucheng Yi, Zirong Luo   +5 more
wiley   +1 more source

Ultrafast Dynamics of Spin Current and Electron Temperature in Spintronic Terahertz Emitters

Advanced Science, EarlyView.
This work quantifies optical‐pump‐induced THz transmission variations to reveal electron and lattice temperature dynamics and presents time‐resolved THz spectral maps for sub‐picosecond analysis. A 63 ± 8 fs time lag between THz emission and laser excitation is identified, serving as an intrinsic parameter limiting the upper frequency of spintronic THz
Yifan Wang, Zuanming Jin, Miao Cai, Zhiqiang Lan, Zhenjie Ge, Zheng Feng, Wei Tan, Alexei V. Balakin, Alexander P. Shkurinov, Yan Peng, Yiming Zhu   +10 more
wiley   +1 more source