Results 71 to 80 of about 209,790 (271)

An Analytical Technique, Based on Natural Transform to Solve Fractional-Order Parabolic Equations. [PDF]

Entropy (Basel), 2021
Agarwal RP, Mofarreh F, Shah R, Luangboon W, Nonlaopon K.   +4 more
europepmc   +1 more source

Trapped Fluorine Enables Thermally Stable Broadband Photodetection in Graphene/Fluorinated Graphene Heterostructure

Advanced Materials Technologies, EarlyView.
Fluorinated graphene has opened new opportunities for real‐world applications; however, its working and thermal stability are key issues for practical use. This study successfully demonstrates the stability of a fluorinated graphene‐based photodetector, achieved through a graphene, fluorinated graphene heterostructure (Gr/F‐Gr HS).
Mukesh Kumar Thakur, Javier Varillas, Oleksandr Volochanskyi, Golam Haider, Jan Plšek, Farjana J. Sonia, Álvaro Rodríguez, Jaganandha Panda, Martin Mergl, Otakar Frank, Jana Vejpravová, Martin Kalbáč   +11 more
wiley   +1 more source

Parabolic equations relative to vector fields

Electronic Journal of Differential Equations, 2008
We define two notions of viscosity solutions to parabolic equations defined using vector fields, depending on whether the test functions concern only the past or both the past and the future. Using the parabolic maximum principle for vector fields, we
Thomas Bieske
doaj  

the Solving Partial Differential Equations by using Efficient Hybrid Transform Iterative Method

Tikrit Journal of Pure Science
The aim of this article is to propose an efficient hybrid transform iteration method that combines the homotopy perturbation approach, the variational iteration method, and the Aboodh transform forsolving various partial differential equations.
Ruaa Shawqi Ismael, Ali Al -Fayadh, Saad M. Salman   +2 more
doaj   +1 more source

Classical and weak solutions of the partial differential equations associated with a class of two-point boundary value problems

Boundary Value Problems, 2018
This paper is concerned with a kind of first-order quasilinear parabolic partial differential equations associated with a class of ordinary differential equations with two-point boundary value problems. We prove that the function given by the solution of
Ning Ma, Zhen Wu
doaj   +1 more source

Development of Laterally Graded X‐Ray Multilayer Optics

Advanced Materials Technologies, EarlyView.
This work presents the development of laterally graded X‐ray multilayer optics with both constant and variable lateral gradients. By precisely controlling substrate speed profiles and mask design, these multilayers achieve highly accurate lateral gradients and excellent sagittal thickness uniformity, making them ideal for spectroscopy application at ...
Arindam Majhi, Wadwan Singhapong, Wai Jue Tan, Andrey Sokolov, Stefano Agrestini, Mirian Garcia‐Fernandez, Kejin Zhou, Andrew C. Walters, Chris Bowen, Alexander J.G. Lunt, Hongchang Wang, Kawal J. Sawhney   +11 more
wiley   +1 more source

On the existence of classical solutions for differential-functional IBVP

Abstract and Applied Analysis, 1998
We consider the initial-boundary value problem for second order differential-functional equations of parabolic type. Functional dependence in the equation is of the Hale type. By using Leray-Schauder theorem we prove the existence of classical solutions.
Krzysztof A. Topolski
doaj   +1 more source

Cellulose‐Nanofiber‐Based Layered Sub‐Terahertz Absorbing Sheets for B5G/6G Applications

Advanced Materials Technologies, EarlyView.
We report a sub‐terahertz absorber made of biodegradable cellulose‐nanofiber (CNF), potentially useful for B5G/6G devices to achieve electromagnetic compatibility in an eco‐friendly way. The absorber is 120 µm thick and consists of two carbon‐nanotube‐dispersed CNF layers and one pure CNF layer.
Kosaku Kato, Shiyu Feng, Zixi Zhao, Verdad C. Agulto, Ami Mizui, Takaaki Kasuga, Shun Ishioka, Masaya Nogi, Ichiro Ota, Motoharu Haga, Minoru Ueshima, Makoto Nakajima   +11 more
wiley   +1 more source

Carleman estimates for semi-discrete parabolic operators with a discontinuous diffusion coefficient and application to controllability

, 2012
In the discrete setting of one-dimensional finite-differences we prove a Carleman estimate for a semi-discretization of the parabolic operator $\partial_t-\partial_x (c\partial_x)$ where the diffusion coefficient $c$ has a jump.
Nguyen, Thuy
core  

Anti‐Slip Material‐Based Strategies and Approaches

Advanced Materials Technologies, EarlyView.
This review highlights the principle mechanisms of slipping at the microscale, linking contact mechanics with a friction behavior model for surface interfaces. Main strategies to develop anti‐slip properties to the surfaces are discussed alongside standardized testing approaches.
Sogand Abbaspoor‐Zanjani, Carlo Antonini, Teresa Gatti, Mengjiao Wang   +3 more
wiley   +1 more source