Results 61 to 70 of about 2,229 (304)

A boundary value problem for the fourth-order degenerate equation of the mixed type

Қарағанды университетінің хабаршысы. Математика сериясы
Many problems in mechanics, physics, and geophysics lead to solving partial differential equations that are not included in the known classes of elliptic, parabolic or hyperbolic equations.
J.A. Otarova
doaj   +1 more source

Chiral Phase Change Nanomaterials

Advanced Functional Materials, EarlyView.
This work demonstrates reversible, non‐volatile phase transitions in chiral Ge2${\rm Ge}_2$Sb2${\rm Sb}_2$Te5${\rm Te}_5$ (GST) nanohelices for high‐speed optical modulation of chirality and dynamic control of the state of polarization (SOP). The chiral nanostructures are fabricated using a highly directional, wafer‐scale physical vapor deposition ...
Joshua A. Burrow, Md Shah Alam, Riad Yahiaoui, Evan M. Smith, Ryan Laing, Jules Gardener, Thomas A. Searles, Piyush J. Shah, Shivashankar Vangala, Joshua R. Hendrickson, Andrew M. Sarangan, Imad Agha   +11 more
wiley   +1 more source

Some auxiliary estimates for solutions to non-uniformly degenerate second-order elliptic equations

Вестник Самарского университета: Естественнонаучная серия
We consider a class of second order elliptic equations in divergence form with non-uniform exponential degeneracy. The method used is based on the fact that the degeneracy rates of the eigenvalues of the matrix ||aij(x)||(function λi(x)) are not the ...
Sarvan T. Huseynov, Mushfig J. Aliyev
doaj   +1 more source

On the Dirichlet Problem For Degenerate Elliptic Equations

Publications of the Research Institute for Mathematical Sciences, 1987
In this paper a class of linear and degenerate elliptic problems is considered: the operator is uniformly elliptic in a neighbourhood of a domain of \({\mathbb{R}}\) but it degenerates in a very precise form on an interior part of it. A suitable associated weighted Sobolev space is introduced; this allows to describe and solve uniquely the ...
openaire   +3 more sources

Local Gradient Estimates for Degenerate Elliptic Equations [PDF]

Advanced Nonlinear Studies, 2016
Abstract This paper is focused on the local interior W 1 , ∞
Hoang, Luan, Nguyen, Truyen, Phan, Tuoc
openaire   +2 more sources

Analysis of complex nonlinear reaction-diffusion equations [PDF]

, 2008
A mathematical analysis has been carried out for some nonlinear reaction- diffusion equations on open bounded convex domains Ω C R(^d)(d < 3) with Robin boundary conditions- Existence, uniqueness and continuous dependence on initial data of weak and ...
Al-Ofl, Abdalaziz Saleem
core  

Application of Ibuprofen Sodium Dihydrate for Thermochemical Energy Storage

Advanced Functional Materials, EarlyView.
Ibuprofen sodium dihydrate is introduced as a durable organic salt hydrate for low‐temperature thermochemical energy storage, operating within 60°C–110°C with high energy density. At the material level, it delivers ∼99.9% cycling efficiency over 150 cycles without deliquescence, enabled by a dual energy‐storage mechanism coupling dehydration and phase ...
Kavin Chakravarthy Thangaraj, Hannah F. Chang, Shannon J. Lee, Mark E. Bowden, J. David Bazak, Vaithiyalingam Shutthanandan, Venkateshkumar Prabhakaran, Xiao Zhang, David M. Reed, Ajay S. Karakoti, Vijayakumar Murugesan   +10 more
wiley   +1 more source

Existence of nontrivial solutions for semilinear problems with strictly differentiable nonlinearity [PDF]

, 2006
The existence of a nontrivial solution for semilinear elliptic problems with strictly differentiable nonlinearity is proved. A result of homological linking under nonstandard geometrical assumption is also shown.
Lancelotti, Sergio, Sergio Lancelotti
core   +1 more source

Twin Crystal Moiré Metasurfaces for Crossing Flat‐Band Transport

Advanced Functional Materials, EarlyView.
This study introduces twin crystal moiré metasurfaces, breaking in‐plane symmetry to enable reconfigurable acoustic wave manipulation. By adjusting the twin angle and interlayer twist angle, various combinations of hyperbolic, flat bands, and elliptic states can be synthesized in the system.
Shida Fan, Chenglin Han, Kuan He, Chadi Ellouzi, Yunlong Wang, Li‐Qun Chen, Jie Sun, Zhaodong Xu, Chen Shen, Tianzhi Yang   +9 more
wiley   +1 more source

Natural Biomaterials for Osteochondral Repair: From Source to Strategy

Advanced Healthcare Materials, EarlyView.
Biological origin‐guided overview of natural biomaterials and therapeutic strategies for osteochondral tissue engineering. The circular diagram categorizes representative materials and strategies into plant/algae‐derived, microbial‐derived, animal‐derived, and human‐derived sources, centered on an osteochondral defect repair model.
Hengyu Liu, Hanyang Zhang, Wenbo Yang, Hao Chen, Jincheng Wang, Fei Chang   +5 more
wiley   +1 more source