Results 51 to 60 of about 174,713,239 (293)

Asymptotic behavior of solutions of a stefan problem

Journal of Mathematical Analysis and Applications, 1975
on the melting surface S = 0 separating the regions of differing phase. Here, L is the increased enthalpy per unit mass due to the phase change, c(T) is the specific heat per unit mass, and p the density of the homogeneous isotropic medium. The functions K(T), c(T) are assumed to be positive, bounded away from zero and continuous in T except at T ...
openaire   +1 more source

Asymptotic Behavior of Solutions for a Class of Difference Equations

Journal of Mathematical Analysis and Applications, 1996
Let the functions \(F\), \(G\in C(\mathbb{R},\mathbb{R})\) and let \(F\) be increasing. If \(F(y)\geq G(y)\) \([F(y)\leq G(y)]\) for all \(y\in\mathbb{R}\), then each solution of the nonlinear difference equation \[ x_n-x_{n-1}=-F(x_n)+G(x_{n-k}),\quad n\geq n_0, \] with positive integer \(k\), tends to either a constant or \(-\infty\) \([+\infty]\) as
Huang, Lihong, Yu, Jianshe
openaire   +1 more source

Grayscale Photomasks Enable Noncontact Optical Patterning of Hydroxypropyl Cellulose Gels for Dynamic Art

Advanced Functional Materials, EarlyView.
Mask‐encoded UV exposure translates digital color information into pixel‐resolved structural‐color patterns in hydroxypropyl cellulose gels. Gaussian‐process‐guided calibration links UV processing conditions, wavelength, and mask opacity, enabling parallel fabrication of multicolor images in a single 10 s exposure.
Mengting Ye, Yunyi Zhu, Sai Sabareesh KS, Md Ashiqur Rahman Alif, Yichen Wan, Ruobing Bai, Narges Pourjafarian, Stefanie Mueller, Hongli Zhu   +8 more
wiley   +1 more source

An Overlooked Transport Mechanism in Organic Mixed Conductors

Advanced Functional Materials, EarlyView.
Electrical transport in organic mixed ionic‐electronic conductors is commonly described by ionic and electronic conduction. Here, eumelanin reveals that polarization‐assisted displacement currents constitute an additional transport component that coexists with conductive transport.
Natan L. Nozella, Victor Lopez‐Richard, Luiz A. Meneghetti Jr., Gabriel L. Nogueira, João V. Paulin, Carlos F. O. Graeff   +5 more
wiley   +1 more source

Global asymptotic behavior of solutions to quasilinear schrodinger equations

Electronic Journal of Differential Equations, 2020
We are concerned with the existence and blowup of solutions for a class of quasilinear Schrodinger equations. In particular, we examine the combined effect of local type nonlinearity and Hartree type ones, and depending upon different parameter ...
Lin Zhang, Xianfa Song
doaj   +3 more sources

Rethinking Charge Transport and Recombination in Donor‐Diluted Organic Solar Cells

Advanced Materials, EarlyView.
Organic solar cells with 1–45% PM6 content in Y12 were studied to link structure and charge dynamics to performance. The conductivity follows a 3D percolation model without a sharp threshold. Donor dilution preserves the photogeneration yield, but limits the fill factor due to transport resistance losses.
Chen Wang, Christopher Wöpke, Toni Seiler, Jared Faisst, Mathias List, Meike Kuhn, Bekcy Joseph, Alexander Ehm, Dietrich R. T. Zahn, Yana Vaynzof, Eva M. Herzig, Roderick C. I. Mackenzie, Uli Würfel, Maria Saladina, Carsten Deibel   +14 more
wiley   +1 more source

Asymptotic Behavior of Solutions for Neutral Difference Equations

Computers & Mathematics with Applications, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO THE GENERALIZED KdV-BURGERS EQUATION [PDF]

, 2017
We study the asymptotic behavior of global solutions to the initial value problem for the generalized KdV-Burgers equation. One can expect that the solution to this equation converges to a self-similar solution to the Burgers equation, due to earlier ...
Fukuda, Ikki
core   +1 more source

Advances in Bio‐Integrated Edge Computing Systems for Smart and Connected Health

Advanced Materials, EarlyView.
This review explores advances in bio‐integrated edge computing for healthcare, focusing on co‐designing computing, sensing, and energy strategies to overcome integration and power challenges for optimized, decentralized operation. ABSTRACT Recent advances in bio‐integrated healthcare technologies have enabled continuous, high‐resolution monitoring and ...
Gyuwon Kim, Seungwon Yoo, Tae Woog Kang, Yunuo Huang, Woon‐Hong Yeo   +4 more
wiley   +1 more source

Asymptotic Behavior of Solutions of a Partial Functional Differential Equation [PDF]

, 2000
The asymptotic behavior of solutions of an asymptotically autonomous partial functional differential equation is investigated. The aim of the present paper is to extend our earlier result for ordinary functional differential equations and difference ...
Farkas, Gyula
core   +1 more source