Abstract
AbstractWe study vanishing viscosity solutions to the axisymmetric Euler equations without swirl with (relative) vorticity in $$L^p$$
L
p
with $$p>1$$
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 $$p>3/2$$
p
>
3
/
2
and the vorticity is nonnegative and has finite second moments.
Publisher
Springer Science and Business Media LLC
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