Results 51 to 60 of about 95,620 (293)

Global existence and blow-up for a class of nonlocal nonlinear Cauchy problems arising in elasticity [PDF]

, 2009
We study the initial-value problem for a general class of nonlinear nonlocal wave equations arising in one-dimensional nonlocal elasticity. The model involves a convolution integral operator with a general kernel function whose Fourier transform is ...
Duruk, Nilay, Erbay , Husnu A., Erbay , Hüsnü A., Erkip, Albert   +3 more
core   +1 more source

Photonic Time Crystals and Time‐Varying Electromagnetic Metamatter: A New Direction for Ultrafast Tunable Photonic and Microwave Materials and Devices

Advanced Science, EarlyView.
Photonic time crystals (PTCs) are systems in which electromagnetic parameters are modulated periodically in time, producing momentum bandgaps via temporal scattering rather than spatial Bragg processes. This review examines the theoretical frameworks, modeling, and computational tools for time‐varying media, and summarizes experimental demonstrations ...
Ranjan Kumar Patel, Shriram Ramanathan, Ronald P. Jenkins, Michael J. Carter   +3 more
wiley   +1 more source

FDM for Elliptic Equations with Bitsadze-Samarskii-Dirichlet Conditions

Abstract and Applied Analysis, 2012
A numerical method is proposed for solving nonlocal boundary value problem for the multidimensional elliptic partial differential equation with the Bitsadze-Samarskii-Dirichlet condition.
Allaberen Ashyralyev, Fatma Songul Ozesenli Tetikoglu   +1 more
doaj   +1 more source

On a boundary value problem of arbitrary orders differential inclusion with nonlocal, integral and infinite points boundary conditions

AIMS Mathematics, 2022
In this work, we are concerned with a boundary value problem of fractional orders differential inclusion with nonlocal, integral and infinite points boundary conditions. We prove some existence results for that nonlocal boundary value problem.
A. M. A. El-Sayed, W. G. El-Sayed, Somyya S. Amrajaa   +2 more
doaj   +1 more source

Improved Total Variation based Image Compressive Sensing Recovery by Nonlocal Regularization

, 2012
Recently, total variation (TV) based minimization algorithms have achieved great success in compressive sensing (CS) recovery for natural images due to its virtue of preserving edges.
Liu, Shaohui, Ma, Siwei, Xiong, Ruiqin, Zhang, Jian, Zhao, Debin   +4 more
core   +1 more source

Uniqueness and properties of distributional solutions of nonlocal equations of porous medium type [PDF]

, 2016
We study the uniqueness, existence, and properties of bounded distributional solutions of the initial value problem problem for the anomalous diffusion equation $\partial_tu-\mathcal{L}^\mu [\varphi (u)]=0$.
del Teso, Félix, Endal, Jørgen, Jakobsen, Espen R.   +2 more
core   +3 more sources

Selective Confinement by a COF‐Derived Sub‐Nanoporous Interface for High‐Performance CoF2 Thermal Battery Cathodes

Advanced Science, EarlyView.
Dissolution and shuttling of TMF cathodes hinders high‐voltage thermal batteries. A novel selective confinement strategy using a sub‐nanoporous COF‐derived carbon interface (0.54 nm pores) on CoF2 suppresses cathode material shuttling. Size‐selective confinement blocks large dissolved ions (∼0.8 nm) while allowing Li⁺ passage, enhancing thermal battery
Mengfan Xu, Jun Zhang, Lili Zhao, Ying Chu, Furui Luo, Xinping Cao, Shengnan Guo, Xueying Wang, Yongping Zhu, Song Wang   +9 more
wiley   +1 more source

Qualitative properties of positive solutions to nonlocal critical problems involving the Hardy-Leray potential

, 2015
We prove the existence, qualitative properties and asymptotic behavior of positive solutions to the doubly critical problem $$ (-\Delta)^s u=\vartheta\frac{u}{|x|^{2s}}+u^{2_s^*-1}, \quad u\in \dot{H}^s(\mathbb{R}^N).$$ The technique that we use to prove
Dipierro, Serena, Montoro, Luigi, Peral, Ireneo, Sciunzi, Berardino   +3 more
core   +1 more source

Advancing Efficient Error Reduction in DNA Data Storage Systems with Deep Learning‐Based Denoising Models

Advanced Intelligent Discovery, EarlyView.
Deep learning‐based denoising models are applied to DNA data storage systems to enhance error reduction and data fidelity. By integrating DnCNN with DNA sequence encoding methods, the study demonstrates significant improvements in image quality and correction of substitution errors, revealing a promising path toward robust and efficient DNA‐based ...
Seongjun Seo, Anshula Tandon, Nguyen Kim Uyen, Quoc Nam Le, Jee‐Hyong Lee, Sung Ha Park   +5 more
wiley   +1 more source

Finite-Approximate Controllability for Fractional Composite Relaxation Equations with Different Nonlocal Conditions

Fractal and Fractional
In this paper, the finite-approximate controllability for a class of fractional composite relaxation equations with different nonlocal conditions is discussed.
Yixing Liang, Zhenbin Fan, Gang Li
doaj   +1 more source