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arXiv · 2501.11387

Universal approximations of quasilinear PDEs by finite distinguishable particle systems

Thierry Paul·Emmanuel Trélat
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Abstract

In this paper, we prove that sufficiently regular solutions of any quasilinear PDE can be approximated by solutions of systems of N distinguishable particles, to within 1/ ln(N ). This intruiguing result is related to recent developments in graph limit theory.

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Thierry Paul, Emmanuel Trélat. 2025-01-20. Universal approximations of quasilinear PDEs by finite distinguishable particle systems. https://arxiv.org/abs/2501.11387

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