Headings on blank pages?

I am working on a textbook, with different levels of headings. I am using character styles headtext1, headtext2, and headtext 3, applied to either a subset of the text in the matching heading, or the entirety of the text. This character style doesn't do anything else. That way I can have shorter page headings than the entire heading's text.

I also, after a Level 1 heading formatted with headtext1, I add a space formatted with the headtext2 character style and then another space formatted with the headtext3 character style. That way, if there are no second- or third-level headings in that section, the previous pages' headings, which would now be wrong, don't carry over onto the present page.

This sounds kludgy, but it's not much work and it gives nice headings.

Except that, sometimes at the end of a Level 1 section, I have a blank page or two. Some of those blank pages have no heading, which is what I want. (Just the chapter name and page number on the bottom is what I want.) Some of those blank pages have no headers, which is what I want. Some bring over the headers from the previous page.

I have been unable to figure out why this is so and how to get it to work the way I want.

Has anyone else done this sort of stuff with headings and have some insight on the issue?

Thanks in advance for any help.