Results 131 to 140 of about 118,579 (376)

Existence and continuity of global attractors for a degenerate semilinear parabolic equation

Electronic Journal of Differential Equations, 2009
In this article, we study the existence and the upper semicontinuity with respect to the nonlinearity and the shape of the domain of global attractors for a semilinear degenerate parabolic equation involving the Grushin operator.
Cung The Anh, Tran Dinh Ke
doaj  

Boundary controllability for a 1D degenerate parabolic equation with a Robin boundary condition [PDF]

, 2023
Leandro Galo-Mendoza, Marcos López-García   +1 more
openalex   +1 more source

Solar‐Powered Electrokinetic Filtration using Hierarchical Porous Membranes for the Off‐Grid Removal of Ultrafine Contaminants

Advanced Science, EarlyView.
A solar‐powered nanoelectrokinetic filtration system enables high‐flux removal of ultrafine contaminants without relying on nanoscale pores or pressure‐driven membranes, offering a sustainable solution for the off‐grid water purification. Abstract The removal of ultrafine suspended solids from water remains a critical challenge due to the tradeoffs ...
Woonjae Choi, Minsoo Lee, Young June Park, Seungbin Yoon, Geunbae Lim   +4 more
wiley   +1 more source

ON AN OPTIMAL STARTING CONTROL PROBLEM FOR DEGENERATE PARABOLIC EQUATION

Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Modelûvannâ, 2013
An optimal control problem for degenerate parabolic equation with mixed boundary conditions are considered. Having applied the Hardy - Poincare inequality, it is shown that this problem has a unique optimal solution in the correspondence weighted Sobolev
I. G. Balanenko, P. I. Kogut
doaj   +1 more source

Helix Alignment, Chevrons, and Edge Dislocations in Twist‐Bend Ferroelectric Nematics

Advanced Science, EarlyView.
The recently discovered twist‐bend ferroelectric nematic (NTBF) is the new member of the multiferroic family, representing a fluid with an oblique helicoidal (heliconical) periodic structure of spontaneous electric polarization. The work presents a thorough exploration of the material properties of this phase, how the periodic modulation of ...
Bijaya Basnet, Priyanka Kumari, Sathyanarayana Paladugu, Damian Pociecha, Jakub Karcz, Przemysław Kula, Nataša Vaupotič, Ewa Górecka, Oleg D Lavrentovich   +8 more
wiley   +1 more source

Homogenization of a nonlinear degenerate parabolic differential equation

Electronic Journal of Differential Equations, 2001
In this article, we study the homogenization of the nonlinear degenerate parabolic equation $$ partial_t b({x /varepsilon},u_varepsilon) - mathop{ m div} a({x /varepsilon},{t /varepsilon}, u_varepsilon,abla u_varepsilon)=f(x,t), $$ with mixed boundary ...
A. K. Nandakumaran, M. Rajesh
doaj  

d‐Wave Fermi Surface Instability in the Nematic Phase of Two Monolayer FeSe/SrTiO3

Advanced Science, EarlyView.
Angle‐resolved photoemission spectroscopy reveals a d‐wave nematic order in two‐monolayer FeSe/SrTiO3, showing degenerate dxz/dyz bands at Γ but a pronounced splitting at M. This momentum‐dependent anisotropy identifies the nematicity as a d‐wave Fermi surface (Pomeranchuk) instability, highlighting 2D FeSe as a model platform to explore the interplay ...
C. Y. Tang, X.‐L. Peng, Y.‐H. Yuan, P. Zhang, G.‐N. Phan, S.‐Y. Gao, Y.‐B. Huang, L.‐Y. Kong, T. Qian, W. Li, Q.‐K. Xue, Z.‐Q. Wang, K. Jiang, Y.‐J. Sun, H. Ding   +14 more
wiley   +1 more source

Ultrafast Nonlinear Dynamics of Indium Tin Oxide Nanocrystals Probed via Fieldoscopy

Advanced Science, EarlyView.
The ultrafast nonlinear dynamics of indium tin oxide nanocrystals excited with 1 MHz, 10 fs pulses, at their localized surface plasmon frequency, and near their epsilon‐near‐zero wavelength is probed via fieldoscopy. The study demonstrates fluence‐dependent switching behavior, advancing the understanding of high‐speed optical modulation in plasmonic ...
Andreas Herbst, Anchit Srivastava, Kilian Scheffter, Soyeon Jun, Steffen Gommel, Luca Rebecchi, Sidharth Kuriyil, Andrea Rubino, Nicolò Petrini, Ilka Kriegel, Hanieh Fattahi   +10 more
wiley   +1 more source

Polarization‐Multiplexed Metalens Enables Switchable and Compact Chromatic Confocal Sensing with Dual‐Mode Precision Control

Advanced Science, EarlyView.
This work breaks conventional design paradigms by leveraging a polarization‐multiplexed metasurface to create the first chromatic confocal sensor with dynamically switchable measurement performance, achieving 10‐fold miniaturization (Ø1 mm vs cm‐scale conventional probes).
Zhicheng Zhao, Yuting Jiang, Tao Lai, Wenxiang Peng, Yueqiang Hu, Shanyong Chen   +5 more
wiley   +1 more source

Inverse problem of determining the coefficients in a degenerate parabolic equation

Electronic Journal of Differential Equations, 2014
We consider the inverse problem of identifying the time-dependent coefficients in a degenerate parabolic equation. The conditions of existence and uniqueness of the classical solution to this problem are established. We investigate the case of weak
Nadiya Huzyk
doaj