Results 91 to 100 of about 21,785,520 (294)

Approximate method for solving discontinuous boundary value problem of non-linear elliptic equations of second order

, 2014
This article deals with the approximate solving method of general discontinuous boundary value problem for non-linear uniformly elliptic equations of second order in multiply connected domains.
Wen, Guochun
core   +1 more source

Moiré‐Induced Symmetry Breaking of Charge Order in van der Waals Heterostructures

Advanced Materials, EarlyView.
A uniaxial moiré potential in misfit (MS)1+δTaS2 heterostructures selectively reshape charge order: the embedded 1H‐TaS2 layer hosts an incommensurate charge‐density wave, fragmented into nanometer domains and stripped of threefold symmetry. Superconductivity, however, remains uniform and fully gapped, revealing heterosymmetry stacking as a selective ...
Sandra Sajan, Laura Pätzold, Tarushi Agarwal, Clara Pfister, Haojie Guo, Sisheng Duan, P. V. Sruthibhai, Mariana Rossi, Maria N. Gastiasoro, Sara Barja, Ravi P. Singh, Tim Wehling, Miguel M. Ugeda   +12 more
wiley   +1 more source

Moiré Phase Mapping in Twisted Bilayer Liquid Crystals with Reconfigurable Light Polarization States

Advanced Materials, EarlyView.
Twisted bilayer liquid crystals are developed by vertical stacking assembly of two liquid crystals having designer domains and optical properties. These moiré‐symmetry, twisted liquid crystals demonstrate reconfigurable polarization states, moiré patterns and phases controlled by twist angles, providing a route to design active optical devices for ...
Jordan A. Wilson, Rui Huang, Allen Sun, Zixian Fang, Doreen Mwangombe, Keerthna Naina Rawat, Oliver Jacobs, Zhiwei Li   +7 more
wiley   +1 more source

Large solutions of elliptic systems of second order and applications to thebiharmonic equation

Discrete and Continuous Dynamical Systems, 2012
In this work we study the nonnegative solutions of the elliptic system Δu=|x|^{a}v^δ, Δv=|x|^{b}u^μ in the superlinear case μδ>1, which blow up near the boundary of a domain of R^{N}, or at one isolated point. In the radial case we give the precise behavior of the large solutions near the boundary in any dimension N.
Bidaut Veron, Marie Francoise, Garcia Huidobro, Marta, Yarur, Cecilia   +2 more
openaire   +8 more sources

Traces, extensions and co-normal derivatives for elliptic systems on Lipschitz domains [PDF]

, 2011
This is the post-print version of the article. The official published version can be accessed from the link below - Copyright @ 2011 ElsevierFor functions from the Sobolev space H^s(\Omega­), 1/2 < s < 3/2 , definitions of non-unique generalized and ...
Mikhailov, SE, Sergey E. Mikhailov, Mikhailov, Sergey E.   +2 more
core   +1 more source

Sustainable Plant‐Based Water Repellent Coatings Using Hydrophobic Pine and Palm Pollen

Advanced Materials Interfaces, EarlyView.
A novel formulation strategy for creating superhydrophobic coatings using plant‐derived waxes and chemically treated pine and palm pollen. By employing acid modification, the hydrophobicity of the pollen surface is enhanced, resulting in water contact angles exceeding 150°.
Brenda Resendiz‐Diaz, Emma Sadler, Colin Roger Crick   +2 more
wiley   +1 more source

In Situ Two‐Dimensional Residual Stress Characterization of Thin Films

Advanced Materials Technologies, EarlyView.
An integrated in situ curvature metrology platform combining speckle‐based curvature optical metrology (SCOM) with multi‐beam optical sensors (MOS) enables spatially resolved two‐dimensional curvature mapping of thick sputtered coatings. The SCOM technique provides excellent agreement with MOS while providing an extended measurable curvature range ...
Wai Jue Tan, Wadwan Singhapong, Arindam Majhi, Chris Bowen, Alexander J.G. Lunt, Hongchang Wang, Kawal Sawhney   +6 more
wiley   +1 more source

Viscosity Solutions of Nonlinear Systems of Degenerated Elliptic Equations of Second Order

Zeitschrift für Analysis und ihre Anwendungen, 2000
In this paper, we discuss the viscosity solutions of Dirichiet problem for weakly coupled systems of fully nonlinear second order degenerated elliptic equations. We prove the existence, uniqueness and continuity of solutions by Perron’s method combined with the technique of coupled solutions.
Liu, Weian, Chen, Hua
openaire   +3 more sources

Upscaling Pulsed Laser Fragmentation in Liquids by Advanced Free‐Flow Setups

Advanced Materials Technologies, EarlyView.
Advanced flow setups providing thin colloid films are introduced to upscale pulsed laser fragmentation in liquids for sustainable nanoparticle synthesis. Their potential is demonstrated by yielding remarkably small ZnO nanoparticles of <7 nm. Numerical simulations complement the study, revealing that the superior performance can be attributed to ...
Jan Lino Kricke, Zongwen Fu, Sebastian Burgmann, Uwe Janoske, Carlos Doñate‐Buendía, Bilal Gökce   +5 more
wiley   +1 more source

Constructive Sobolev gradient preconditioning for semilinear elliptic systems

Electronic Journal of Differential Equations, 2004
We present a Sobolev gradient type preconditioning for iterative methods used in solving second order semilinear elliptic systems; the n-tuple of independent Laplacians acts as a preconditioning operator in Sobolev spaces.
Janos Karatson
doaj