Author

P. Kevrekidis

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Open access Aug 2026

Going with the flow to solve for symmetry-driven PDE dynamics with physics-informed neural networks

This work addresses a computational framework that integrates symmetry reduction into Physics-Informed Neural Networks (PINNs) for analysing symmetry-driven dynamics in nonlinear partial differential equations (PDEs), enabling accurate forward simulation and parameter inference without front tracking or mesh adaptation...

M. Kavousanakis, Gianluca Fabiani, A. Georgiou et al. · Nature Communications · 2 citations

#edge computing Preprint Aug 2026

Wedge problems and dispersive shock waves in the two-dimensional Toda lattice

We study the formation and interaction of dispersive shock waves (DSWs) in the two-dimensional Toda lattice subject to wedge-type initial conditions, and show that their interaction gives rise to a discrete analog of Mach reflection for dispersive shock waves in discrete systems. The initial jump across each leg of the...

M. Calabrese, G. Biondini, Christopher Chong et al. · 0 citations