Results 91 to 100 of about 96,434 (313)

Positive solutions for a class of nonlocal problems with possibly singular nonlinearity [PDF]

, 2022
Leszek Gasiński, João R. Santos Júnior, Gaetano Siciliano   +2 more
openalex   +1 more source

MINIMIZATION PROBLEMS INVOLVING NONLOCAL FUNCTIONALS: NONLOCAL MINIMAL SURFACES AND A FREE BOUNDARY PROBLEM

, 2018
This doctoral thesis is devoted to the analysis of some minimization problems that involve nonlocal functionals. We are mainly concerned with the $s$-fractional perimeter and its minimizers, the $s$-minimal sets. We investigate the behavior of sets having (locally) finite fractional perimeter and we establish existence and compactness results for ...
openaire   +2 more sources

The nonlocal Neumann problem

Journal of Differential Equations
The classical local Neumann problem is well studied and solutions of this problem lie, in general, in a Sobolev space. In this work, we focus on nonlocal Neumann problems with measurable, nonnegative kernels, whose solutions require less regularity assumptions. For kernels of this kind we formulate and study the weak formulation of the nonlocal Neumann
Frerick, Leonhard, Vollmann, Christian, Vu, Michael   +2 more
openaire   +2 more sources

Study on Deformation Law of Crossing Layer Drilling Superimposed Floor Roadway

Energy Science &Engineering, EarlyView.
Based on deformation law of crossing layer drilling superimposed floor roadway, low dip angle drilling is particularly susceptible to complications such as borehole blockage and collapse. ABSTRACT Floor extraction roadway crossing layer drilling is a pivotal strategy for gas control in areas prone to coal and gas outbursts.
Xiao Liu, Bo Li, Jiawei Xie, Xiaoming Ni, Shaoren Wei, Chengtao Yang, Yubo Zhang, Haixiao Lin, Wei Zhao, Tao Wang   +9 more
wiley   +1 more source

Investigation of the spectrum for Sturm–Liouville problems with a nonlocal boundary condition

Lietuvos Matematikos Rinkinys, 2013
In this paper, we analyze the Sturm–Liouville problem with one classical first type boundary condition and the other Samarskii–Bitsadze type nonlocal boundary condition.
Kristina Skučaitė-Bingelė, Artūras Štikonas   +1 more
doaj   +1 more source

Fast Calculation for the Flow and Heat Transfer of Tempered Fractional Maxwell Viscoelastic Fluid

International Journal for Numerical Methods in Fluids, EarlyView.
This study develops a tempered fractional Maxwell model to simulate unsteady thermal flow in viscoelastic fluids, capturing key rheological behaviors. A fast SOE‐based algorithm is proposed to improve the computational efficiency of the numerical scheme. Results reveal how key parameters influence fluid motion and heat transfer, demonstrating the model'
Yi Liu, Mochen Jiang, Libo Feng
wiley   +1 more source

Bio‐inspired nanophotonics: Structural color, chirality, and resonance metasurfaces

InfoMat, EarlyView.
A butterfly‐wing‐inspired anisotropic plasmonic flatband resonant metasurface. Insets, photo of the butterfly, Sasakia charonda, and the SEM image of its wing scale (above); the SEM image of the metasurface (below). Abstract The dazzling colors of butterfly wings and hummingbird feathers are not painted with pigments, but crafted by nature's invisible ...
Weihan Liu, Yao Liang, Din Ping Tsai
wiley   +1 more source

Towards LHC physics with nonlocal Standard Model

Nuclear Physics B, 2015
We take a few steps towards constructing a string-inspired nonlocal extension of the Standard Model. We start by illustrating how quantum loop calculations can be performed in nonlocal scalar field theory.
Tirthabir Biswas, Nobuchika Okada
doaj   +1 more source

Bridging Classical and Quantum Approaches for Quantitative Sensing of Turbid Media with Polarization‐Entangled Photons

Laser &Photonics Reviews, EarlyView.
This work bridges classical and quantum polarimetry toward quantitative quantum photonic sensing of turbid environments. Theoretical and experimental investigations reveal how polarization‐entangled photonic states evolve in turbid media, uncovering robust trends in entanglement evolution and paving the way for advanced quantum sensing in biomedical ...
Vira R. Besaga, Ivan V. Lopushenko, Oleksii Sieryi, Alexander Bykov, Frank Setzpfandt, Igor Meglinski   +5 more
wiley   +1 more source

Advances in Position‐Momentum Entanglement: A Versatile Tool for Quantum Technologies

Laser &Photonics Reviews, EarlyView.
Position–momentum entanglement constitutes a high‐dimensional continuous‐variable resource in quantum optics. Recent advances in its generation, characterization, and control are reviewed, with emphasis on spontaneous parametric down‐conversion and modern measurement techniques.
Satyajeet Patil, Rajshree Swarnkar, Jonas L. Moos, Sebastian Töpfer, Sergio Tovar‐Pérez, Jorge Fuenzalida, Markus Gräfe   +6 more
wiley   +1 more source