To expand on @M-MTax comment, for federal income tax purposes a single-member LLC that has not elected to be taxed as an association, is defaulted to a disregarded entity.
This means that for federal income tax purposes, the owner of the single member LLC is who the IRS looks to for the filing.
Regardless of whether you have a single member LLC (except in certain situations as noted above) or are just a sole proprietor, both will complete a Schedule C.
Even if you transfer title of the plane to the single member LLC, you will continue to file the Schedule C.
*A reminder that posts in a forum such as this do not constitute tax advice.
Also keep in mind the date of replies, as tax law changes.
