Mercedes tyre management problems may be the consequence of lack of front end grip during initial turn-in to fast corners.
Consider the FRIC suspension system. It relies on hydraulic fluid being violently flung from one part of the system to another due to the car's change of speed and/or direction. This change of fluid pressure is used to inform the suspension geometry which is then able to stabilise the car during the manoeuvre.
The Fric System's regulator would be calibrated to give a certain reaction for a give acceleration (where acceleration is a change of speed and/or direction - velocity is a vector).
The car is tuned such that it can stay on the racing line and provides a neutral balance (front end gripping with the rear end) .
However, When the front end slips on initial turn-in (understeer), the regulators (especially those in the nose section) will experience less acceleration (rate of change of direction) than was envisaged - because the car runs wide of the racing line. The FRIC system will 'feel' as though the car is negotiating a wider curve than in actuality and its reaction will be insufficent to stabilise the car as the driver endeavours to make the corner.
To compound the problem, the FRIC system will act to provide a neutral balance but, since the front end is sliding then; the rear will tend to slide in these circumstances. Since the rear tyres are both driving the car and sliding, they suffer most.
Both Mercedes drivers have reported sliding on front and rear axles while the car is heavy with fuel. This brings us to another culprit - vehicle mass.
The W04 works very well in qualifying but tend to fade in the race where of course, the car may intially be 150 kgs heavier. Putting this mass on the mid-rear section of the car surely shifts the weight balance rearwards - making it harder for the front tyres to grip sufficiently when changing direction.
A solution may be found by biasing the cars set up to provide more front end grip (by running more front wing and tuning of the suspension). This would compromise the car's balance in qualifying and perhaps cost grid positions for the bargain of much better tyre management and pace during the first race stint.
At each pit-stop, the excess front wing could be dialled down in proportion to the reduction of fuel mass carried.