Results 41 to 50 of about 2,016,598 (232)

The Maximal Regularity of Nonlocal Parabolic Monge–Ampère Equations and Its Monotonicity in the Whole Space

Axioms
The Monge–Ampère operator, as a nonlinear operator embedded in parabolic differential equations, complicates the demonstration of maximal regularity for these equations.
Xingyu Liu
doaj   +1 more source

Optimal control problem for systems governed by nonlinear parabolic equations without initial conditions

Karpatsʹkì Matematičnì Publìkacìï, 2016
An optimal control problem for systems described by Fourier problem for nonlinear parabolic equations is studied. Control functions occur in the coefficients of the state equations. The existence of the optimal control in the case of final observation is
M.M. Bokalo, A.M. Tsebenko
doaj   +1 more source

Generation and Enhancement of Persistent Nanoscale Magnetization in All‐Dielectric Metasurfaces by Optically Injected and Localized Free Carriers

Advanced Science, EarlyView.
Infrared metasurface‐guided waves (IR‐MGW) scattered by a time interface (TI) induced by rapid, localized free‐carrier generation can be efficiently rectified to generate strong, persistent magnetic fields. We develop a rigorous, theoretical model to study a time‐varying, dispersive medium and uncover the redistribution of the initial energy of the IR ...
Shivaksh Rawat, Samyobrata Mukherjee, Gennady Shvets   +2 more
wiley   +1 more source

Disorder Driven Anisotropic Nonlinear Hall Effect in the Kagome Metal YbCo6Ge6 at Room Temperature

Advanced Science, EarlyView.
The intrinsic structural disorder and short‐range correlated motifs in the kagome metal YbCo6Ge6 constitute the primary mechanism for a robust and anisotropic nonlinear Hall effect (NLHE). This effect is sustained across a wide temperature range, achieving a nonlinear responsivity of up to ∼4.5 × 10−3 m/V at 70 K, higher than known disordered and ...
Qurat Ul Ain, Weiyao Zhao, Thanh Tung Huynh, Yuefeng Yin, Fang Tang, Yong Fang, Junlin Yan, Jacek Jasieniak, Timothy Petersen, Yang Liu, Nikhil V. Medhekar, Julie Karel   +11 more
wiley   +1 more source

Cauchy problem for some fractional nonlinear ultra-parabolic equations

Electronic Journal of Differential Equations, 2016
Blowing-up solutions to nonlocal nonlinear ultra-parabolic equations is presented. The obtained results will contribute in the development of ultra-parabolic equations and enrich the existing non-extensive literature on fractional nonlinear ultra ...
Fatma Al-Musalhi, Sebti Kerbal
doaj  

Micro/Nanoscale Acoustic Manipulation: From Particle Control to Autonomous Microswimmers

Advanced Science, EarlyView.
This conceptual framework illustrates acoustic technology as a multifunctional platform enabling passive particle manipulation across scales and autonomous propulsion of microswimmers. ABSTRACT Acoustic manipulation and propulsion technologies have emerged as powerful platforms for micro/nanoscale control, enabled by their non‐contact operation, label ...
Jiahui Chu, Lemin Zhang, Xu Wang, Wenzong Li, Yahua Liu   +4 more
wiley   +1 more source

Designer Moiré Quantum Materials Enabled by Freestanding Oxide Membranes in Twisted and Hybrid Bilayers

Advanced Science, EarlyView.
Freestanding oxide membranes transform twistronics by enabling deterministic stacking, strain release, and integration with two‐dimensional materials. A unified framework links local atomic registry to structural reconstruction, polar textures, charge modulation, flat bands, and magnetic responses, while identifying the fabrication and characterization
Puneet Kaur, Rahul, Jan‐Chi Yang
wiley   +1 more source

Machine Learning‐Assisted Second‐Order Perturbation Theory for Chemical Potential Correction Toward Hubbard U Determination

Advanced Intelligent Discovery, EarlyView.
In this work, the Doubao large language model (LLM) is involved in the formula derivation processes for Hubbard U determination regarding the second‐order perturbations of the chemical potential. The core ML tool is optimized for physical domain knowledge, which is not limited to parameter prediction but rather serves as an interactive physical theory ...
Mingzi Sun, Tong Wu, Baian Chen, Zikang Li, Qiuyang Lu, Lu Lu, Hon Ho Wong, Cheuk Hei Chan, Bolong Huang   +8 more
wiley   +1 more source

Continuous and Large‐Scale: ELEANOR, the Soft Architected Arm Inspired by the Elephant Trunk

Advanced Intelligent Systems, EarlyView.
A large‐scale, architected continuum robot inspired by the macroscopic properties of the African elephant trunk achieves adaptive elephant‐like movements and whole‐body grasping. The results demonstrate that designing from the natural system’s macroscopic properties, rather than prescribing behaviors, provides a powerful strategy for developing ...
Giovanna A. Naselli, Anderson B. Nardin, Seonggun Joe, Ryan Drinkwater, Enrico Donato, Diego Bianchi, Egidio Falotico, Michel C. Milinkovitch, Lucia Beccai   +8 more
wiley   +1 more source

The Lévy–Khintchine type operators with variable Lipschitz continuous coefficients generate linear or nonlinear Markov processes and semigroups [PDF]

, 2011
Ito's construction of Markovian solutions to stochastic equations driven by a Lévy noise is extended to nonlinear distribution dependent integrands aiming at the effective construction of linear and nonlinear Markov semigroups and the corresponding ...
Kolokoltsov, V. N. (Vasiliĭ Nikitich)
core   +1 more source