Results 121 to 130 of about 416,500 (289)
Discrete Chiral Ballistic Polariton Laser
Laser &Photonics Reviews, EarlyView.Planar microcavities in the strong light–matter coupling regime exhibit exciton‐polariton modes with a strong chiral response toward circularly polarized light. This feature is exploited alongside inherent spin‐orbit coupling of cavity light to generate giant discrete optical vortices in polygonal arrays of exciton‐polariton condensates.
Zuzanna Werner +5 more
wiley +1 more source
, 2019 In this paper, we propose accurate and efficient finite difference methods to discretize the two- and three-dimensional fractional Laplacian $(-\Delta)^{\frac{\alpha}{2}}$ ($0 < \alpha < 2$) in hypersingular integral form.
Duo, Siwei, Zhang, Yanzhi
core +1 more source
Strong unique continuation for the higher order fractional Laplacian [PDF]
Mathematics in Engineering, 2019 In this article we study the strong unique continuation property for solutions of higher order (variable coefficient) fractional Schr\"odinger operators.
M. Garc'ia-Ferrero, Angkana Ruland
semanticscholar +1 more source
Eigenvalues for systems of fractional $p$-Laplacians [PDF]
Rocky Mountain Journal of Mathematics, 2018 We study the eigenvalue problem for a system of fractional $p-$Laplacians, that is, $$ \begin{cases} (- _p)^r u = \dfrac p|u|^{ -2}u|v|^ &\text{in } ,\vspace{.1cm} (- _p)^s u = \dfrac p|u|^ |v|^{ -2}v &\text{in } , u=v=0 &\text{in } ^c=\R^N\setminus . \end{cases} $$ We show that there is a first (smallest) eigenvalue that
Pezzo, Leandro M. Del, Rossi, Julio D.
openaire +5 more sources
Mathematische Nachrichten, EarlyView.Abstract We discuss the existence theory of a nonlinear problem of nonlocal type subject to Neumann boundary conditions. Differently from the existing literature, the elliptic operator under consideration is obtained as a superposition of operators of mixed order. The setting that we introduce is very general and comprises, for instance, the sum of two
Serena Dipierro +3 more
wiley +1 more source
, 2017 We study the positive principal eigenvalue of a weighted problem associated with the Neumann spectral fractional Laplacian. This analysis is related to the investigation of the survival threshold in population dynamics.
Pellacci, Benedetta, Verzini, Gianmaria
core +1 more source
2‐Adic Quantum Mechanics, Continuous‐Time Quantum Walks, and the Space Discreteness
Fortschritte der Physik, EarlyView.Abstract The authors show that a large class of 2‐adic Schrödinger equations is the scaling limit of certain continuous‐time quantum Markov chains (CTQMCs). Practically, a discretization of such an equation gives a CTQMC. As a practical result, new types of continuous‐time quantum walks (CTQWs) on graphs using two symmetric matrices are constructed ...
W. A. Zúñiga‐Galindo
wiley +1 more source
A conservative numerical scheme for the multilayer shallow‐water equations on unstructured meshes
Quarterly Journal of the Royal Meteorological Society, EarlyView.An energy‐conserving scheme is derived for the multilayer shallow water model, making use of the direct connection between energy conservation and the skew symmetry of the Poisson bracket for the model. A new mechanism is proposed to prevent layer interface outcropping.
Qingshan Chen
wiley +1 more source
Air–sea interaction in medicanes with atmosphere–ocean–wave coupled regional climate simulations
Quarterly Journal of the Royal Meteorological Society, EarlyView.The atmosphere–ocean–wave coupling improved storm intensity compared to standalone atmosphere setting, which tended to overestimate wind speeds. The atmosphere–ocean coupling in medicane simulations leads to increased sea surface temperatures, which enhances evaporation and promotes the development of convective systems through increased latent heat ...
Fulden Batibeniz +3 more
wiley +1 more source
Discrete Laplacian Operator and Its Applications in Signal Processing
IEEE Access, 2020 Fractional calculus has increased in popularity in recent years, as the number of its applications in different fields has increased. Compared to the traditional operations in calculus (integration and differentiation) which are uniquely defined, the ...
Waseem Waheed, Guang Deng, Bo Liu
doaj +1 more source