The Japanese term to refer to _English_ progressive form (eg "I am sailing") is **** . Every middle school students knows this term (they learn it in _English_ classes).
By the way, I doubt there is a special conjugation in Japanese. This concept is expressed in Japanese by simply using a subsidiary verb , preceded by or , preceded by so-called "te-form" of a verb. The "te-form" is known as one of the to Japanese students who learn Japanese grammar at middle school.