output
20092025
most citedOn the mathematically reliable long-term simulation of chaos of Lorenz equation in the interval [0,10000]

79 citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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Showing 2025Show all

3 papers · 1 filter

physics.flu-dyn2025★ 1 cited

Convergent series of Stokes wave of arbitrary height in deep water via machine learning

Chong Lin, Shijun Liao

Permanent gravity waves propagating in deep water, spanning amplitudes from infinitesimal to their theoretical limiting values, remain a classical yet challenging problem due to it…

nlin.CD2025★ 2 cited

Ultra-chaotic property of Navier-Stokes turbulence

Shijie Qin, Kun Xu, Shijun Liao

A chaotic system is called ultra-chaos when its statistics have sensitivity dependence on initial condition and/or other small disturbances. In this paper, using two-dimensional tu…

physics.flu-dyn2025★ 2 cited

Physical significance of artificial numerical noise in direct numerical simulation of turbulence

Shijun Liao, Shijie Qin

Using clean numerical simulation (CNS) in which artificial numerical noise is negligible over a finite, sufficiently long interval of time, we provide evidence, for the first time,…