Del. Code tit. 13 § 216
A civil union entered into or otherwise recognized under this chapter may be dissolved in the same form and manner as marriages entered into or otherwise recognized under Chapter 1 of this title; provided, however, notwithstanding §§ 1504 and 1505(d) of this title, the Family Court of this State shall have, in addition to any other basis for jurisdiction it would otherwise have, jurisdiction over all proceedings for divorce and annulment of civil unions that are solemnized in this State under this chapter notwithstanding that the domicile or residency of the petitioner and the respondent are not in this State, if the jurisdiction of domicile or residency of the petitioner and/or the respondent does not by law affirmatively permit such a proceeding to be brought in the courts of that jurisdiction. All persons who enter into a civil union solemnized in this State consent to the nonexclusive jurisdiction of the Family Court for all proceedings for divorce and annulment of such civil union, even if 1 or both parties no longer reside in this State. If neither of the parties to a civil union solemnized in this State reside in this State, any petition for divorce or annulment of such civil union shall be filed in the county in which 1 or both of such parties last resided in this State.
13 Del. C. § 216