Selecting a MOSFET for DC use
If you need DC operation, you should really use a MOSFET that has a DC rating in its Safe Operating Area.

MOSFETs that don't have the DC curve may suffer from thermal runaway when used in DC applications and are intended or specified for switching applications only. Internal, local hotspots may occur and the MOSFETs may fail ("Spirito Effect").

The reason is a falling gate-to-source threshold voltage for a rising temperature, usually at low gate-to-source voltages. The details of this issue are usually not specified in the data sheets, so the only indicator is often the SOA diagram that has or doesn't have a DC curve. Fig. 3 in your MOSFET's data sheet looks like the point of thermal VGS crossover is a bit below 4&nbsp;V. In my opinion, you are on the risky side when you use this particular MOSFET with a driver that can supply 5&nbsp;V only. For a worst-case scenario, consider your supply to be on the low end (4.5&nbsp;V), and allow some voltage drop for the driving stage. Sooner than you might like, you end up somewhere around 3.5&nbsp;V.

Note that the absolute maximum ratings (25 or 18&nbsp;A at 25 or 100&nbsp;°C, respectively) are specified at a gate-to-source voltage of 10&nbsp;V, when your MOSFET is fully on . They do not apply at lower gate-to-source voltages.

More about the background here: https://electronics.stackexchange.com/a/36625/930