Abstract
We study vanishing viscosity solutions to the axisymmetric Euler equations without swirl with (relative) vorticity in
L
p
with
p
>
1
. We show that these solutions satisfy the corresponding vorticity equations in the sense of renormalized solutions. Moreover, we show that the kinetic energy is preserved provided that
p
>
3
/
2
and the vorticity is nonnegative and has finite second moments.