Likely you need a bigger supply, but there are not many if any computer fans rated 2A at 12V. Are you sure it's not 200mA? I use 12V squirrel cage blowers myself so I can do gallon jugs for lagers and those bad boys are only rated at an amp.
Most fans, especially when run horizontally (which is bad for all but certain ball bearing fans and rifled bearing fans), will also have a startup surge of about 20% more than their rating.. if the supply can't handle the surge, it will attempt to start and then die.
MOST Chinese switchers are grossly overrated in what they can actually deliver.
I really need to find another cheap variable bench supply to recommend for a 12V adjustable supply. I had one at a surplus place for awhile but they ran out and replaced it with a stepped voltage supply.
Using a potentiometer works on smaller fans but isn't really a good way of doing it. (Linear taper pot? Logarithmic? Bigger fans will draw more current through the pot than it is rated, etc.) You want to make your stir plate speed adjustable and with cheap DC motors you can only do that by variable voltage. More expensive ones (the four wire ones) can be PWM'ed by an external controller but that limits you to only a smaller amount of fans.