A stable and convergent finite element scheme is developed for the variable-order time-fractional incompressible MHD equations, with experiments showing the impact of variable orders on energy and enstrophy.
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A logarithmic centroid method recovers adiabatic Kramers scaling for coherence resonance in a quiescent SRK model and reveals a noise-driven transition to functional synchronization in gap-junction coupled systems.
Three one-parameter regularization operator families with a new selection rule and error bounds are proposed to stably identify the unknown source from noisy data in the time-fractional equation.
Hadronic proton-proton interactions in a superdiffusive one-zone model with proton luminosity 0.14 of spin-down power and diffusion index 1.05 reproduce the 7-200 TeV gamma-ray spectrum from PSR J0622+3749 halo at ambient density 1 cm^{-3}.
SEIR model on Watts-Strogatz networks exhibits exponential infected growth if latency time is less than infection time and oscillatory dynamics otherwise.
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Numerical Analysis of a Variable-Order Time-Fractional Incompressible Magnetohydrodynamics System
A stable and convergent finite element scheme is developed for the variable-order time-fractional incompressible MHD equations, with experiments showing the impact of variable orders on energy and enstrophy.
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Breakdown of Adiabatic Scaling and Noise-Induced Functional Synchronization in Deeply Quiescent Excitable Systems
A logarithmic centroid method recovers adiabatic Kramers scaling for coherence resonance in a quiescent SRK model and reveals a noise-driven transition to functional synchronization in gap-junction coupled systems.
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Regularization operators for identifying the unknown source in the time-fractional convection-diffusion-reaction equation
Three one-parameter regularization operator families with a new selection rule and error bounds are proposed to stably identify the unknown source from noisy data in the time-fractional equation.
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Hadronic Origin of Sub-PeV Gamma-Ray Emission from LHAASO J0621+3755
Hadronic proton-proton interactions in a superdiffusive one-zone model with proton luminosity 0.14 of spin-down power and diffusion index 1.05 reproduce the 7-200 TeV gamma-ray spectrum from PSR J0622+3749 halo at ambient density 1 cm^{-3}.
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Dynamics of disease spread. Effect of the characteristic times
SEIR model on Watts-Strogatz networks exhibits exponential infected growth if latency time is less than infection time and oscillatory dynamics otherwise.