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math.AP2018★ 2 cited
Energy and cross-helicity conservation for the three-dimensional ideal MHD equations in bounded domain
Yi Wang, Bijun Zuo
In this paper, we prove the energy and cross-helicity conservation of weak solutions to the three-dimensional ideal MHD equations in bounded domain under the interior Besov regular…
math.AP2018
Existence of steady symmetric vortex patch in a disk
Daomin Cao, Guodong Wang, Bijun Zuo
In this paper we construct a family of steady symmetric vortex patches for the incompressible Euler equations in an open disk. The result is obtained by studying a variational prob…