RoundCube Webmail is a browser-based multilingual IMAP client with an application-like user interface.
By using IMAP your mails will reside on the server as long as you delete them! They are not "downloaded" or something like that. When reading email with your browser you just have a "view" on that mail (still on the server). And after deleting the mail on the server, it is gone! Forever!
Micha from Germany
(While working with an IMAP-capable local EMail-Client (Thunderbird, Evolution, Outlook(?)) you have a possibility to work "offline". Then your mails are downloaded to your computer, too. After deleting they are gone, again. But this "offline"-working is of course no option for a web browser).