11 citations · 17 across the 17 of their papers we have counts for
4 papers · 2 filters
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…
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…
On concentrated traveling vortex pairs with prescribed impulse
Guodong Wang
In this paper, we consider a constrained maximization problem related to planar vortex pairs with prescribed impulse. We prove existence, stability and asymptotic behavior for the…
Asymptotic estimates for concentrated vortex pairs
Guodong Wang
In [Comm. Math. Phys. 324 (2013), 445--463], Burton-Lopes Filho-Nussenzveig Lopes studied the existence and stability of slowly traveling vortex pairs as maximizers of the kinetic…