# An exact, time-dependent analytical solution for the magnetic field in the inner heliosheath

@article{Rken2021AnET, title={An exact, time-dependent analytical solution for the magnetic field in the inner heliosheath}, author={Christian R{\"o}ken and Jens Kleimann and Horst Fichtner}, journal={Journal of Physics A: Mathematical and Theoretical}, year={2021}, volume={55} }

We derive an exact, time-dependent analytical magnetic field solution for the inner heliosheath, which satisfies both the induction equation of ideal magnetohydrodynamics in the limit of infinite electric conductivity and the magnetic divergence constraint. To this end, we assume that the magnetic field is frozen into a plasma flow resembling the characteristic interaction of the solar wind with the local interstellar medium. Furthermore, we make use of the ideal Ohm’s law for the magnetic…

## One Citation

### The Structure of the Large-Scale Heliosphere as Seen by Current Models

- PhysicsSpace science reviews
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This review summarizes the current state of research aiming at a description of the global heliosphere using both analytical and numerical modeling efforts, particularly in view of the overall…

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