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math.AP2019★ 8 cited
A note on the vanishing viscosity limit in the Yudovich class
Christian Seis
We consider the inviscid limit for the two-dimensional Navier--Stokes equations in the class of integrable and bounded vorticity fields. It is expected that the difference between…
math.AP2019
Vortex dynamics for 2D Euler flows with unbounded vorticity
Stefano Ceci, Christian Seis
It is well-known that the dynamics of vortices in an ideal incompressible two-dimensional fluid contained in a bounded not necessarily simply connected smooth domain is described b…
math.AP2019
Renormalization and energy conservation for axisymmetric fluid flows
Camilla Nobili, Christian Seis
We study vanishing viscosity solutions to the axisymmetric Euler equations with (relative) vorticity in with . We show that these solutions satisfy the corresponding vor…