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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
On Serrin Interior Regularity Criterion for Navier-Stokes Equations
Robin Ming Chen, Giovanni P. Galdi, Bruno Poggi +1
We revisit Serrin's interior spatial regularity criterion for distributional solutions to the Navier-Stokes equations in and considerably relax the hypotheses in two…
math.AP2026
Asymptotic stability of smooth solitons and multi-solitons for the Camassa--Holm equation
Robin Ming Chen, Yang Lan, Yue Liu +1
We establish the asymptotic stability of smooth solitons and multi-solitons for the Camassa-Holm (CH) equation in the energy space . We show that solutions initially close…