Results 71 to 80 of about 302 (211)
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 +8 more
wiley +1 more source
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
Controllability of 1-d coupled degenerate parabolic equations
Electronic Journal of Differential Equations, 2009 This article is devoted to the study of null controllability properties for two systems of coupled one dimensional degenerate parabolic equations.
Piermarco Cannarsa, Luz De Teresa
doaj
Gradient bounds for solutions of nonlinear strictly elliptic equations, applications and extensions
ITM Web of Conferences, 2018 In this short manuscript, we briefly recall some well-known methods for obtaining gradient bounds of viscosity solutions for elliptic and parabolic equations.
Duc Nguyen Vinh
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Singularity and Decay Estimates for a Degenerate Parabolic Equation
Complexity, 2021 In this paper, a degenerate parabolic equation ut − div(|x|θ∇u) = |x|aup with p > 1 and θ < 2, a ∈ ℝ, is considered. Based on rescaling arguments combined with a doubling property, the space‐time singularity and decay estimates are established. Moreover, a universal and a priori bound of global nonnegative solutions for the corresponding initial ...
openaire +2 more sources
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
Karpatsʹkì Matematičnì Publìkacìï, 2014 The paper found the explicit form of the fundamental solution of Cauchy problem for the equation of Kolmogorov type that has a finite number groups of spatial variables which are degenerate parabolic.
H.P. Malytska, I.V. Burtnyak
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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 +5 more
wiley +1 more source
Electronic Journal of Differential Equations, 2016 We study a class of second-order degenerate parabolic equations in divergent form. We prove two analogues of the Harnack inequality, one for non-negative weak solutions, an another for non-negative solutions.
Sarvan T. Huseynov
doaj
On the parabolic potentials in degenerate‐type heat equation [PDF]
International Journal of Stochastic Analysis, 1991 Using distributions theory technique we introduce parabolic potentials for the heat equation with one time‐dependent coefficient (not everywhere positive and continuous) at the highest space‐derivative, discuss their properties, and apply obtained results to three illustrative problems.
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