When i had this i drank water slowly and in small amounts. If your lips and mouth are dry you are risking becoming dehydrates so it could be worth getting some rehydration sachets - though coca cola is apparently pretty good as well.
You are more likely to die from dehydration that starvation, and the Norovirus should calm down withing 24-36 hours (when i had it anyway) thus allowing you to eat. Nausia (without vomiting) and diarrhoea may persist for a few days, as may any stomach cramps, fever, and aches associated with the virus.
As people have said, eat some dry toast to curb the hunger. When you have not been sick for a while try a small bowl of soup. Maybe try chicken or mushroom as these are not as rich as other types.
Finally, make sure you get plenty of rest!