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Global solutions to the Euler-Coriolis system

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arxiv 2405.18390 v2 pith:WK5AM3HV submitted 2024-05-28 math.AP math-phmath.MP

Xiao Ren , Gang Tian This is my paper · ORCID
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keywords euler-coriolisglobalsolutionssystemasymptoticbodydataequations
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We prove the global well-posedness and scattering for the 3D incompressible Euler-Coriolis system with sufficiently small, regular and suitably localized initial data. Equivalently, we obtain the asymptotic stability for "rigid body" rotational solutions to the pure Euler equations. This extends the recent work of Guo, Pausader and Widmayer to the general non-axisymmetric setting.

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  1. Vortex-sheet desingularization for three-dimensional ideal fluids

    math.AP 2026-07 conditional novelty 8.0 of 10

    Analytic 3D vortex-sheet motions are distributional limits of exact Euler flows whose vorticity is supported in O(ε)-thin tubular neighborhoods, on a time interval independent of ε.

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