Results 61 to 70 of about 128,747 (328)

A general quantum Laplace transform

Advances in Difference Equations, 2020
In this paper, we introduce a general quantum Laplace transform L β $\mathcal{L}_{\beta }$ and some of its properties associated with the general quantum difference operator D β f ( t ) = ( f ( β ( t ) ) − f ( t ) ) / ( β ( t ) − t ) ${D}_{\beta }f(t)= ({
Enas M. Shehata, Nashat Faried, Rasha M. El Zafarani   +2 more
doaj   +1 more source

Wetting Interactions Between Porous Carbon Hosts and Liquid Sodium‐Potassium Alloys Toward Their Use in Negative Electrodes of Alkali‐Metal Batteries

Advanced Functional Materials, EarlyView.
Porous carbon host materials are investigated for their possible usage in liquid alkali‐metal negative electrodes. X‐ray computed tomography reveals pore‐filling behavior under various conditions: non‐wetting, forced wetting, and spontaneous wetting. The applicability of porous carbon in electrochemical cells is demonstrated at high areal capacities ...
Johannes Baller, André Hilger, Naiyu Qi, Chiara Morini, Andrea Cornelio, Arndt Remhof, Markus Osenberg, Ingo Manke, Julian Moosmann, Felix Beckmann, Gustav Graeber   +10 more
wiley   +1 more source

Brezis Nirenberg type results for local non-local problems under mixed boundary conditions

Communications in Analysis and Mechanics
In this paper, we are concerned with an elliptic problem with mixed Dirichlet and Neumann boundary conditions that involve a mixed operator (i.e., the combination of classical Laplace operator and fractional Laplace operator) and critical nonlinearity ...
Lovelesh Sharma
doaj   +1 more source

An extension of the estimation for solutions of certain Laplace equations

Journal of Inequalities and Applications, 2016
In this paper, by using a new type of Carleman formula with respect to a certain Laplace operator, we estimate the growth property for solutions of certain Laplace equations defined in a smooth cone.
Bin Huang, Jiaofeng Wang, Maria Hampshire Zylbersztejn   +2 more
doaj   +1 more source

Laser‐Microscribed Glass Enables Surface‐Microfluidics‐Facilitated, Affordable, Rapid Cancer Diagnosis

Advanced Functional Materials, EarlyView.
A transparent, laser‐microscribed glass platform enables cancer diagnosis within 1 h—much faster than histology, which takes days, and free from the chemical or contrast risks of MRI or CT scans. The antibody‐functionalized rough glass surface captures viable cancer cells directly from suspension, allowing instant optical readout and offering a rapid ...
Anish Pal, Snehasis Mishra, Arani Mukhopadhyay, Ilias Papailias, Atique U. Ahmed, Constantine M. Megaridis   +5 more
wiley   +1 more source

Laplace operator based multi-channel image filters learning

Journal of Advanced Mechanical Design, Systems, and Manufacturing, 2016
Learning an image filter from a pair of images composed of an original image and its filtered version has attracted increasing attention in the image processing region.
Yantao LIU, Meng LIU, Bin LIU, Jingang SUN, Xiuping LIU   +4 more
doaj   +1 more source

The Spectral Zeta Function for Laplace Operators on Warped Product Manifolds of the type $I\times_{f} N$

, 2011
In this work we study the spectral zeta function associated with the Laplace operator acting on scalar functions defined on a warped product of manifolds of the type $I\times_{f} N$ where $I$ is an interval of the real line and $N$ is a compact, $d ...
A. Flachi, A.O. Barvinsky, C.M. Bender, D.B. Ray, E. Elizalde, E. Elizalde, G. Esposito, G. Fucci, G. Fucci, G. Fucci, Guglielmo Fucci, H.A. Chamblin, J. Cheeger, J. Garriga, J.S. Dowker, K. Kirsten, K. Kirsten, K. Kirsten, Klaus Kirsten, L. Randall, M. Bordag, M. Bordag, M. Bordag, N.D. Birrell, P.B. Gilkey, S. Minakshisundaram, S.A. Fulling, S.K. Blau, S.W. Hawking   +28 more
core   +1 more source

Beyond Conventional Cooling: Advanced Micro/Nanostructures for Managing Extreme Heat Flux

Advanced Materials, EarlyView.
This review examines the design, application, and manufacturing of biomimetic or engineered micro/nanostructures for managing high heat‐flux in multi‐level electronics by enhancing conductive, convective, phase‐changing, and radiative heat transfer mechanisms, highlighting their potential for efficient, targeted thermal management, and future prospects.
Yuankun Zhang, Huajie Li, Yuhang Zhou, Jun Ma, Keng‐Te Lin, Han Lin, Chunsheng Guo, Baohua Jia   +7 more
wiley   +1 more source

A computing method for bending problem of thin plate on Pasternak foundation

Advances in Mechanical Engineering, 2020
The governing equation of the bending problem of simply supported thin plate on Pasternak foundation is degraded into two coupled lower order differential equations using the intermediate variable, which are a Helmholtz equation and a Laplace equation. A
Jiarong Gan, Hong Yuan, Shanqing Li, Qifeng Peng, Huanliang Zhang   +4 more
doaj   +1 more source

Numerical Solution of Fractional Order Anomalous Subdiffusion Problems Using Radial Kernels and Transform

Journal of Mathematics, 2021
By coupling of radial kernels and localized Laplace transform, a numerical scheme for the approximation of time fractional anomalous subdiffusion problems is presented.
Muhammad Taufiq, Marjan Uddin
doaj   +1 more source