Results 81 to 90 of about 3,448,082 (381)

An optimal quantitative two-scale expansion in stochastic homogenization of discrete elliptic equations [PDF]

open access: yes, 2014
We establish an optimal, linear rate of convergence for the stochastic homogenization of discrete linear elliptic equations. We consider the model problem of independent and identically distributed coefficients on a discretized unit torus.
A. Gloria, S. Neukamm, F. Otto
semanticscholar   +1 more source

Prospects of Electric Field Control in Perpendicular Magnetic Tunnel Junctions and Emerging 2D Spintronics for Ultralow Energy Memory and Logic Devices

open access: yesAdvanced Functional Materials, EarlyView.
Electric control of magnetic tunnel junctions offers a path to drastically reduce the energy requirements of the device. Electric field control of magnetization can be realized in a multitude of ways. These mechanisms can be integrated into existing spintronic devices to further reduce the operational energy.
Will Echtenkamp   +7 more
wiley   +1 more source

Exact Solutions for Some Fractional Differential Equations

open access: yesAdvances in Mathematical Physics, 2015
The extended Jacobi elliptic function expansion method is used for solving fractional differential equations in the sense of Jumarie’s modified Riemann-Liouville derivative.
Abdullah Sonmezoglu
doaj   +1 more source

Conformally Perforated Shellular Metamaterials with Tunable Thermomechanical and Acoustic Properties

open access: yesAdvanced Functional Materials, EarlyView.
This study introduces Conformally Perforated Shellular Metamaterials (CPSMs), which overcome TPMS design limitations by mapping 2D cellular layouts onto 3D surfaces. CPSMs exhibit enhanced elastic stiffness, thermal conductivity, and acoustic performance compared to intact P‐type shellulars, demonstrating their potential as multifunctional ...
Benyamin Shahryari   +8 more
wiley   +1 more source

An extension of a theorem by M. I. Freidlin to good solutions to elliptic nondivergence equations

open access: yesLe Matematiche, 1999
In the context of second order linear uniformly elliptic equations with measurable coefficients, a result of Freidlin [9], which deals with homogenization type properties for elliptic equations with smooth periodic coefficients, is extended to ...
Orazio Arena, Paolo Manselli
doaj  

Elliptic equations with discontinuous nonlinearities

open access: yesTopological Methods in Nonlinear Analysis, 1993
The paper deals with the existence and nonexistence of positive solutions of nonlinear elliptic equations, with the nonlinear term discontinuous in the unknown function. The authors distinguish between 3 types of solutions. Topological methods -- specifically the degree theory -- are employed to obtain the existence of solutions, either in \(\mathbb{R}^
Allegretto W., NISTRI, PAOLO
openaire   +5 more sources

Formation of 2D Electron Gas at a Non‐Polar Perovskite Oxide Interface: SrHfO3/BaSnO3

open access: yesAdvanced Functional Materials, EarlyView.
Through experiments and Poisson‐Schrödinger simulations, 2D electron gas formed at the non‐polar SrHfO3/BaSnO3 interface is observed. A large conduction band offset enables modulation doping by the intrinsic deep donors in SrHfO3, resulting in carrier confinement in BaSnO3 without relying on interfacial polarization or termination‐layer engineering ...
Jongkyoung Ko   +5 more
wiley   +1 more source

New series of 3D lattice integrable models

open access: yes, 1993
In this paper we present a new series of 3-dimensional integrable lattice models with $N$ colors. The case $N=2$ generalizes the elliptic model of our previous paper.
Mangazeev, V. V.   +2 more
core   +1 more source

On Fundamental Solutions of Elliptic Equations [PDF]

open access: yesProceedings of the American Mathematical Society, 1961
In this paper we prove: Let L be an elliptic operator in (x, t) with constant coefficients, the coefficients of the lower derivatives being zero, and let Lo be the operator obtained from L by deleting all the terms involving t-derivatives. Let K(x, t) be a fundamental solution of Lu = 0.
openaire   +2 more sources

Printing Nacre‐Mimetic MXene‐Based E‐Textile Devices for Sensing and Breathing‐Pattern Recognition Using Machine Learning

open access: yesAdvanced Functional Materials, EarlyView.
This study presents a Ti3C2Tx MXene/WPU nacre‐mimetic nanomaterial as a printable ink for direct‐write printing onto textiles‐based sensors. The resulting wearable device demonstrates high sensitivity, biocompatibility, and mechanical strength. Furthermore, NFC‐enabled humidity sensor produces time‐series data, which informs a machine learning ...
Lulu Xu   +6 more
wiley   +1 more source

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