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math.AP2022
Nonlinear stability of sinusoidal Euler flows on a flat two-torus
Guodong Wang, Bijun Zuo
Sinusoidal flows are an important class of explicit stationary solutions of the two-dimensional incompressible Euler equations on a flat torus. For such flows, the steam functions…
math.AP2022
An extension of Arnold's second stability theorem in a multiply-connected domain
Guodong Wang, Bijun Zuo
We give a sufficient condition for the nonlinear stability of steady flows of a two-dimensional ideal fluid in a bounded multiply-connected domain, which generalizes a stability cr…