@misc{10481/79286,
year = {2022},
month = {12},
url = {https://hdl.handle.net/10481/79286},
abstract = {We derive an exact, time-dependent analytical magnetic  eld solution for the inner
heliosheath, which satis es both the induction equation of ideal magnetohydrodynamics in the limit
of in nite electric conductivity and the magnetic divergence constraint. To this end, we assume
that the magnetic  eld is frozen into a plasma 
ow 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 vector potential and the electric scalar potential. By employing a suitable gauge
condition that relates the potentials and working with a characteristic coordinate representation, we
thus obtain an inhomogeneous  rst-order system of ordinary di erential equations for the magnetic
vector potential. Then, using the general solution of this system, we compute the magnetic  eld via
the magnetic curl relation. Finally, we analyze the well-posedness of the corresponding Dirichlettype
initial-boundary value problem, specify compatibility conditions for the initial-boundary values,
and outline the implementation of initial-boundary conditions.},
publisher = {Institute of Physics},
title = {An Exact, Time-dependent Analytical Solution for the Magnetic Field in the Inner Heliosheath},
author = {Röken, Christian},
}