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physics.flu-dyn2026
Complex-time singular structure of the 1D Hou-Luo model
Cornelius Rampf, Sai Swetha Venkata Kolluru
Starting from smooth initial data, we investigate the complex-time analytic structure of the one-dimensional Hou--Luo (HL) model, a wall approximation of the three-dimensional axis…
physics.flu-dyn2022★ 11 cited
Eye of the Tyger: early-time resonances and singularities in the inviscid Burgers equation
Cornelius Rampf, Uriel Frisch, Oliver Hahn
We chart a singular landscape in the temporal domain of the inviscid Burgers equation in one space dimension for sine-wave initial conditions. These so far undetected complex singu…