Graphon-modulated kinetic opinion–epidemic models produce spontaneous epidemic waves and opinion leaders, with proven L1 and Sobolev convergence to equilibrium.
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Cercignani.The Boltzmann equation and its applications, volume 67 ofApplied Mathematical Sciences
2 Pith papers cite this work, alongside 3,171 external citations. Polarity classification is still indexing.
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PINN study of BGK shocks identifies anisotropic tail-weighted observability failure in fourth-order closure R_xx^cl and shows a shock-local correction reduces its relative error to 0.112 using DVM validation.
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Kinetic models of opinion-driven epidemic dynamics modulated by graphons
Graphon-modulated kinetic opinion–epidemic models produce spontaneous epidemic waves and opinion leaders, with proven L1 and Sobolev convergence to equilibrium.
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Tail observability and fourth-order closure recovery in physics-informed neural networks for Bhatnagar-Gross-Krook normal shocks
PINN study of BGK shocks identifies anisotropic tail-weighted observability failure in fourth-order closure R_xx^cl and shows a shock-local correction reduces its relative error to 0.112 using DVM validation.