Global solutions to the Euler-Coriolis system

2024/05/28 by Ren, Xiao, Tian, Gang · 3 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2405.18390

Abstract

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.

Cited by

• Dynamics of Ideal Fluid Flows
• Increased lifespan for 3D compressible Euler flows with rotation
• Admissible solutions of the 2D Onsager's conjecture

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