Author

P. Kevrekidis

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Preprint Sep 2026

Radial dam breaks in a two-dimensional droplet bearing environment

The controlled dynamical generation of radial dam break flows (DBFs) is demonstrated in two-dimensional droplet environments. These ultracold mixtures feature competing mean-field and quantum fluctuation effects and are initialized on a disk-shaped uniform density. Depending on the value of the latter, reflecting also...

F. Bristy, S. Chandramouli, G. Bougas et al. · 0 citations

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