Results 51 to 60 of about 3,476 (289)
On Nonlinear Coupled System with Nonlocal Boundary Conditions
Boletim da Sociedade Paranaense de Matemática, 2003 Summary: We discuss the existence, uniqueness and stability exponential and polynomial of global solutions for a nonlinear coupled system with nonlocal boundary conditions given by \[ \begin{aligned} u_{tt}+\Delta^2u+f(u-v) & =0\text{ in }\Omega\times (0,\infty),\\ v_{tt}-\Delta v-f(u-v)& =0\text{ in }\Omega\times(0,\infty),\\ u=0 \text{ on }\Gamma_0 ...
U. R. Soares, C. A. Raposo, M. L. Santos
openaire +4 more sources
Nonlocal Metaspire: A Scalable Elastic Material Platform With Decoupled Mechanical Modes
Advanced Materials, EarlyView.Nonlocal Metaspire introduces sequential rotation to realize wider scalability in implementing complex nonlocal couplings in elastic metamaterials while suppressing unintended mode coupling. Numerical results clarify the underlying wave motions, demonstrate mode‐decoupled roton and maxon formation, and support a straightforward extension to higher ...
Seung Han Kim +3 more
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Entropy‐Stabilized Aluminate Catalysts That Break the Activity–Stability Tradeoff in CF4 Hydrolysis
Angewandte Chemie, EarlyView.Entropy‐stabilized aluminate breaks the activity–stability tradeoff in CF4 hydrolysis by combining a multication aluminate framework with an entropy‐stabilized lattice. An electron‐deficient Al–O environment is F‐philic but O‐phobic, enabling C–F activation while suppressing H2O poisoning. Under steam‐rich, strongly fluorinating conditions, the entropy‐
Seunghyuck Chi +7 more
wiley +2 more sources
, 2022 In this paper we consider initial boundary value problem for nonlinear nonlocal parabolic equation with absorption under nonlinear nonlocal boundary condition and nonnegative initial datum.
Gladkov, Alexander
core
Nonlinear Analysis, 2008 In this paper the Sturm-Liouville problem with one classical and the other nonlocal two-point or integral boundary condition is investigated. Critical points of the characteristic function are analyzed.
S. Pečiulytė +2 more
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A Survey of Interlayer Interaction Models for Graphene and Other 2D Materials
Advanced Materials Interfaces, EarlyView.Van der Waals interactions arising from electronic polarization at atomically close interfaces generate corrugated interlayer energy landscapes that govern normal and tangential tractions. This review presents an overview of quantum, atomistic, analytical, and continuum modeling approaches, highlighting their roles across length scales in capturing ...
Gourav Yadav +2 more
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Lietuvos Matematikos Rinkinys, 2012 In this paper, generalized Green’s functions for second-order discrete boundaryvalue problems with nonlocal boundary conditions are investigated, where the necessary and sufficient existence condition of discrete Green’s function is not satisfied and ...
Gailė Paukštaitė, Artūras Štikonas
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Data‐Efficient Electromagnetic Surrogate Solver Through Dissipative Relaxation Transfer Learning
Advanced Optical Materials, EarlyView.Dissipative relaxation transfer learning (DIRTL) enables data‐efficient training of electromagnetic surrogate solvers by pretraining data generated with artificial material loss before fine‐tuning on target lossless data. The framework suppresses resonant outlier effects during early training, allowing effective adaptation to high‐amplitude resonances ...
Sunghyun Nam +2 more
wiley +1 more source
Asymptotic distribution of eigenvalues and eigenfunctions of a nonlocal boundary value problem
Mathematical Modelling and Analysis, 2021 In this work, we obtain asymptotic formulas for eigenvalues and eigenfunctions of the second order boundary-value problem with a Bitsadze–Samarskii type nonlocal boundary condition.
Erdoğan Şen, Artūras Štikonas
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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 +3 more
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