Results 81 to 90 of about 2,162,787 (303)

A symbolic computational approach to finding solutions and conservation laws for (3 + 1)-dimensional modified BBM models

Alexandria Engineering Journal, 2020
In this work three recently introduced (3 + 1)-dimensional nonlinear modified Benjamin-Bona-Mahony equations are studied from the modern group-theoretical analysis standpoint.
Chaudry Masood Khalique, Innocent Simbanefayi   +1 more
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

High‐Throughput Screening and Interpretable Machine Learning for Rational Design of Bimetallic Catalysts for Methane Activation

Advanced Science, EarlyView.
ABSTRACT Methane's efficient catalytic removal is vital for sustainable development. Bimetallic catalysts, though promising for methane activation, pose a design challenge due to their complex compositional space. This work introduces an integrated framework that combines high‐throughput density functional theory (DFT) and interpretable machine ...
Mingzhang Pan, Tian Zhang, Jiawei Dong, Yubao Xie, Kaifeng Zhong, Wei Guan, Haiqiao Wei, Changcheng Fu, Yaqiong Su   +8 more
wiley   +1 more source

Continuous dependence estimates for viscosity solutions of fully nonlinear degenerate elliptic equations

Electronic Journal of Differential Equations, 2002
Using the maximum principle for semicontinuous functions [3,4], we prove a general ``continuous dependence on the nonlinearities'' estimate for bounded Holder continuous viscosity solutions of fully nonlinear degenerate elliptic equations.
Espen R. Jakobsen, Kenneth H. Karlsen
doaj  

Nonlinear Stability for Dissipative Nonlinear Evolution Equations with Ellipticity

Journal of Mathematical Analysis and Applications, 1999
The paper deals with the coupled system \[ \psi_t=-(1-\alpha)\psi-\sigma \theta_x +\alpha\psi_{xx}, \] \[ \theta_t=-(1-\alpha)\theta+\nu \psi_x +2\psi \theta_{x}+\alpha\theta_{xx}, \] where \(\alpha\) and \(\nu\) are positive numbers. This set of equations singles out the essential mechanism of nonlinear interaction between ellipticity and dissipation.
Tang, Shaoqiang, Zhao, Huijiang
openaire   +2 more sources

Spectral properties of non-local uniformly-elliptic operators [PDF]

, 2006
In this paper we consider the spectral properties of a class of non-local uniformly elliptic operators, which arise from the study of non-local uniformly elliptic partial differential equations. Such equations arise naturally in the study of a variety of
Niall Dodds, Fordyce A. Davidson, Davidson, Fordyce A.; id_orcid, Dodds, Niall   +3 more
core  

Some Modified Bifurcation Problems with Application to Imperfection Sensitivity in Buckling [PDF]

, 1972
The branching theory of solutions of certain nonlinear elliptic partial differential equations is developed, when the nonlinear term is perturbed from unforced to forced.
Keener, James Paul
core   +1 more source

Metasurface‐Enabled Helical Wavefront Fingerprint Metrology for Quantitative Retrieval of Liquid Optical Constants

Advanced Science, EarlyView.
A metasurface‐enabled helical wavefront fingerprint (MHWF) paradigm is proposed for quantitative and specific retrieval of a liquid medium's refractive index and extinction coefficient. The liquid's complex dielectric response governs the wavefront evolution of the metasurface‐generated focused vortex beam, forming a distinctive three‐dimensional ...
Yuting Zhou, Hongliang Li, Simeng Li, Feiyu Jiao, Yansong Du, Jin Tae Kim, Sang‐Shin Lee, Duk‐Yong Choi, Fei Ding, Xuechao Yu, Xun Guan   +10 more
wiley   +1 more source

survey on boundary regularity for the fractional p-Laplacian and its applications

Bruno Pini Mathematical Analysis Seminar
We survey some recent regularity results for fractional p-Laplacian elliptic equations, especially focusing on pure and weighted boundary Hölder continuity of the solutions of related Dirichlet problems. Then, we present some applications of such results
Antonio Iannizzotto
doaj   +1 more source

Giant Magneto‐Optical Effects in Two‐Dimensional Flat‐Band Antiferromagnets

Advanced Science, EarlyView.
RuOCl2${\rm RuOCl}{_2}$, a two‐dimensional antiferromagnet, hosts energy bands with pronounced directional flatness. This study demonstrates that the flat‐band‐induced optical transitions yield strongly anisotropic absorption and a record‐large magneto‐optical Schafer–Hubert effect, alongside exceptional linear dichroism exceeding 50%.
Ping Yang, Wanxiang Feng, Siyuan Liu, Shan Guan, Liwei Wen, Wei Jiang, Gui‐Bin Liu, Yugui Yao   +7 more
wiley   +1 more source