Lavrentyev Institute of Hydrodynamics,

Siberian Branch of RAS,

15 Lavrentyev Prospect,

630090 Novosibirsk,

RUSSIA

E-mail: sergey@hydro.nsc.ru

**Exact solution of the ideal magnetohydrodynamics equations,
which describes a flow from the spherical source**

**Abstract:**

We describe a plasma flow, which is governed by the partially invariant
solution of the ideal magnetohydrodynamics equations. The solution was
constructed on the group *O*(3) of rotations. We give a full picture
of plasma flow, both stationary and nonstationary in 3D space. The solution
describes a three-dimensional plasma flow from the spherical source. The
flow takes place not in the whole space, but inside a disk-shaped domain.
The solution has a functional arbitrariness, which allows us to vary the
behavior of the plasma flow at the infinity.