What is the ruling on prayer when drops of urine continue to fall for long periods after urinating, and is it permissible to ignore them despite feeling them fall?

Do not pay attention to whispers [waswas] and ignore them. If the discharge of urine is intermittent, such that you do not know when it stops, then perform ablution (wudu') after the time for prayer begins, and pray your obligatory (fard) prayer with that ablution, as well as any supererogatory (nafl) prayers you wish, until the time for that prayer expires.