Thanks, Espen.
Here is some of my thinking:
We often think of ice as being brittle. Well it is - it cracks! But it is also elastic. Even as the middle of the tongue advances slightly faster than the edges (at least, this is typical of a glacier - the ice drags on the side walls), the cracks on the edges shows that forward motion there happens in a jerky motion (little or no motion, then something snaps) and does not only ooze [steady elastic movement], therefore the cracks. In a perfectly symmetrical glacier, the left (facing 'down stream') side cracks and right side cracks would meet (eventually) in the middle. In Petermann Glacier, for the currently watched cracks, they will be meeting (we predict) well to the left of center. The middle (or left of middle, anyway) has more even flow, so the ice continues to ooze there, rather than crack.
The compression forces in the "1.6 km" wide area (at least) must be strong, as the tongue 'slowly' flows northwestward down the fjord. Given the tongue is floating, it moves forward by being pushed from behind (where gravity causes the glacier to flow downhill). Espen's GIF shows the cracks on both sides of the floating tongue are slowly widening at the surface. Why aren't the cracks closing, given the compression? I wonder if well-below-the-surface parts of the tongue are still connected. Might some of the tongues motion be some sort of lateral ridging (buckling), where the crest breaks open, creating a crevasse open at the surface but definitely compressed at the bottom?