How much time passes between the end of Wings of Liberty and the beginning of Heart of the Swarm?

Kerrigan is being carried off the field by Raynor in the last part of WoL and looks feeble compared to the beginning of HotS where she is much healthier and energetic. How much time passed between these events?


On the splash screen it says:

enter image description here It's been three weeks since the invasion of Char...


The very first mission's splash page states something to the effect of,

"It has been 3 weeks since Raynor used the Xel'Naga device and rescued Kerrigan from Char ... "

I will upload a screenshot of this when I have a chance.