Not an EVE player, so please forgive my ignorance.

Do EVE ships engage in physical melee? I'm kinda thinking buzz saws and spikes a la RobotWars. ^_^

In a traditional land-based MMORPG, melee usually involves physical contact  - swords, axes, clubs, fists, feet. How does melee work in a space-based MMORPG? Does it exist at all? Maybe longer-range and shorter-range weapons?

Its all pure ranged combat space fitting, nothing ground or melee. Think combat between capital class ships in any scifi and you'll get decient idea of what it is, It is not Spacefighter or ground combat.

Everything is at range. Weapons are short/med/long range.

But you can bump people by flying into them. :P