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math.AP2026
Long-Wave Stability And Instability Of Periodic Shear Flows For The 2D Navier-Stokes Equations On The -Plane
Robin Ming Chen, Tian Dai, Dehua Wang +1
We study the spectral stability of periodic shear flows for the two-dimensional Navier--Stokes equations on the -plane in the long-wave regime. While it is known that non-rotati…
math.AP2026
Global three-dimensional subsonic Euler flows past an axisymmetric obstacle with large vorticity
Dehua Wang, Tian-Yi Wang, Weiqiang Wang
In this paper, we prove the existence and uniqueness of subsonic solutions to the steady Euler flows past a smooth, axisymmetric obstacle. Specifically, for a broad class of prescr…