The Administrative Office of the U.S. Courts has announced that all federal courts will remain open for during the current government shutdown, using reserve funds that can last approximately three weeks. The AO further explains:
If the shutdown were to continue past three weeks, and exhaust the Judiciary’s resources, the Judiciary would then operate under the terms of the Anti-Deficiency Act, which allows work to continue during a lapse in appropriations if it is necessary to support the exercise of Article III judicial powers. Under this scenario, each court and federal defender’s office would determine the staffing resources necessary to support such work.
Funding is the court system’s most prominent externally acquired resource. Hopefully the courts’ ability to work through cases is not adversely affected by a long shutdown.