Once a litigant wins a litigation, a court grants her a judgment that she may need to enforce. But that judgment may only be used to collect assets within the jurisdiction of the court. This presents an issue for a litigant who wants to use the judgment to collect assets that the judgment debtor keeps somewhere else. What good is a New York judgment if the defendant owns very little in New York, but owns a house in California and keeps a bank account in Florida? Courts address this issue by letting litigants obtain local judgments based on judgments in other courts without needing to re-litigate the entire case.

https://www.unpredictableblog.com/blog/domestication