You can receive weekly email notifications of new journal issues or new titles available in Project MUSE. Visit their email alert page, enter your email address, then select titles for which to receive alerts. Project MUSE also provides RSS feeds for their journals.
Once you are 'alerted' to the existence of a journal issue or article, search the Journal Title Database to see if the journal issue is available online or physically in the library. For journal articles not owned locally or available electronically, submit a request through ILLiad.