  In this paper, we consider incompressible Euler flows in $ \mathbb{R}^{4} $
under bi-rotational symmetry, namely solutions that are invariant under
rotations in $\mathbb{R}^{4}$ fixing either the first two or last two axes.
With the additional swirl-free assumption, our first main result gives local
wellposedness of Yudovich-type solutions, extending the work of Danchin
[Uspekhi Mat. Nauk 62(2007), no.3, 73-94] for axisymmetric flows in
$\mathbb{R}^{3}$. The second main result establishes global wellposedness under
additional decay conditions near the axes and at infinity. This in particular
gives global regularity of $C^{\infty}$ smooth and decaying Euler flows in
$\mathbb{R}^{4}$ subject to bi-rotational symmetry without swirl.
