Rather late to reply but for anyone using Linux, these are some of the open-source/free options that run natively rather than using 'Wine'. There are a few other paid-for programs. The first three are browser based - they can be used to generate/edit/share a website online but can also be used just on your own computer. Most desktop programs allow you to export your data to a website format but that's for the display of data only whereas these programs allow you to edit your data just like a desktop app.
Webtrees (
https://www.webtrees.net/index.php/en/)
Runs in a web server, whether that's on the net or just on your computer. I've used this extensively for the last four years (on my own PC, not as an online site) and it's rock solid. Does pretty much everything that desktop programs do. Install XAMPP (the web server package) on your computer, start the server then start Webtrees. Much easier than it sounds. Frequent updates, excellent community support.
Humogen (
http://www.humogen.com/)
Works in a similar way to Webtrees. Reliable, but the interface, especially when editing, is a bit klunky.
Geneweb (
https://geneweb.tuxfamily.org/wiki/GeneWeb)
Another browser based program that comes with its own server so it runs on your own computer. Requires some technical knowledge, not as comprehensive or as easy to use as the above two.
Desktop programs:
Gramps (
https://gramps-project.org/)
Well-established, well supported and frequently updated. A comprehensive program that adheres to the gedcom standard. Has great reports, charts and a website builder. I used it for about a year but I find the interface much too 'busy' with too many dialogs and experienced frequent crashes, although my data was always intact.
GenealogyJ (
http://genj.sourceforge.net/)
I was involved with this project for a couple of years but it is now dead, or at least totally dormant!. It works but still has a few minor issues and the interface is a little odd in places when it comes to inputting data.
Ancestris (
http://en.ancestris.org/index.php?title=Main_Page)
This is a fork, or continuation of GenealogyJ in a slightly different direction. Still very much in development, tiny team and community but may get there one day.
There are a few other programs for Linux - try Google with Geneaquilts (for something different!) or Wintree for example.