Spikes for the two-dimensional Gierer-Meinhardt system: The weak coupling case
, 2001 In this paper, we rigorously prove the existence and stability of multiple-peaked patterns for the singularly perturbed Gierer-Meinhardt system in a two dimensional domain which are far from spatial homogeneity.
Winter, M, Wei, J
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Nonlocal operators with Neumann conditions
Dissertationes MathematicaeWe construct a strong Markov process corresponding to the Dirichlet form of Servadei and Valdinoci and use the process to solve the corresponding Neumann boundary problem for the fractional Laplacian and the half-line.
Bogdan, Krzysztof +2 more
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Nonlocal Conditions for Lower Semicontinuous Parabolic Inclusions [PDF]
Advances in Difference Equations, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Description of an ecological niche for a mixed local/nonlocal dispersal: an evolution equation and a new Neumann condition arising from the superposition of Brownian and Lévy processes [PDF]
, 2021 Serena Dipierro, Enrico Valdinoci
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Alternating direction method for two-dimensional parabolic equation with nonlocal integral condition
, 2012 Two-dimensional parabolic equation with nonlocal condition is solved by alternating direction method in the rectangular domain. Values of the solution on the boundary points are bind with the integral of the solution in whole two-dimensional ...
Jakubėlienė, Kristina +3 more
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Long‐Range Interactions in Topological Superconducting Systems: A Mini Review
Advanced Physics Research, EarlyView.Long‐range interacting quantum systems are surveyed in this review, with an emphasis on the long‐range topological superconductor and its variants. Long‐range interactions decaying in a power‐law manner can lead to exotic phenomena that finds no analogue in short‐range regimes.
Juntong Ren, Haifeng Lü
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Moiré Folded Helical States at the Interfaces of Heterostructures
Advanced Physics Research, EarlyView.This manuscript explores a minimal ladder model of a graphene‐topological‐insulator heterostructure where moiré superlattices modulate Rashba spin‐orbit coupling. The study reveals that SOC lifs spin degeneracy, halves spectral periodicity, and induces “helicity fragmentation” across moiré minibands.
Paula Mellado
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Numerical solutions of neutral stochastic functional differential equations
, 2008 This paper examines the numerical solutions of neutral stochastic functional differential equations (NSFDEs) $d[x(t)-u(x_t)]=f(x_t)dt+g(x_t)dw(t)$, $t\geq 0$.
Wu, Fuke +5 more
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Discontinuous parabolic problems with a nonlocal initial condition [PDF]
, 2020 We study parabolic differential equations with a discontinuous nonlinearity and subjected to a nonlocal initial condition. We are concerned with the existence of solutions in the weak sense.
Abdelkader Boucherif
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Guiding and Manipulating Light Fields in Microstructured Liquid Crystals
Advanced Physics Research, EarlyView.This review summarizes recent advances in guided‐wave optics enabled by microstructured liquid crystal (LC) devices, covering their fundamental material properties, key degree of freedom for dynamic light field manipulations. The advances of linear guided‐wave optics, nonlinear‐optics with spatial optical solitons, and microlasers in LC‐based devices ...
Shan‐shan Chang +2 more
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