I elaborated this stub a little bit, adding some examples concerning flows of vector fields. There are also some empty subsections which I will probably work on later if no-one else is willing.
Then there is a question on whether this article should exist as a separate entity. I think it is justified IF there is enough material which is not covered by vector field articles. The point is of course that every flow on a manifold is generated by a vector field, so maybe this article should focus on evolution type PDE's or something.
I have to return to other duties, so there are no suitable references and links yet. Please do not delete on these grounds too soon. Lapasotka (talk) 11:43, 22 March 2011 (UTC)
I completed the two sections Heat and Wave equations. I hope it corresponds to the point of view of this article. I changed some notations but I think it is clear enough. Julien le... (talk) 15:00, 9 July 2012 (UTC)
I'm not entirely convinced that having long sections in the article, elaborating these rather basic flows, is a good idea. After all, there are many many flows, and the lead paragraph mentions half of dozen of them, each of which already has it's own separate article. If these examples are really worthwhile, they, too should get their own article, instead of being jammed in here. I'm saying this because the article now feels cluttered: it has a whole lot of content, but doesn't say anything particularly deep. So, for example, I would rather see content that echoes what the springer encyclopedia of math says about flows, and their different types and kinds. linas (talk) 01:53, 29 July 2012 (UTC)
I haven't give too much thougths in the organisation of this article. I just saw empty sections and I filled them in. Furthermore, I am not very familiar with Wikipedia article editing yet, thus if you think these sections does not belong here, you can put them in the good article (but I don't think this examples need their own article, they look too much alike in the semigroup theory). Julien le... (talk) 10:09, 29 July 2012 (UTC)
Hi, I just wanted to say that the last equation is missing the c in ct on the right hand side. Have a nice day. — Preceding unsigned comment added by 126.96.36.199 (talk) 15:24, 16 May 2018 (UTC)