Currently I am preparing for postgraduate application. My research interest is fluid mechanism. There are several professors whose research interests are similar to mine and all of them are included in both applied math department and some non-math departments, such as geophysics department. Most of their papers are published in Journal of Fluid Mechanics, which is one of the leading journals in that field. However, it seems that those papers do not involve advanced math knowledge, such as abstract algebra or analysis. Even epsilon-delta terminology seldom appears in those papers.
This slightly contradicts to my previous understanding. In the math department where I finished my undergraduate study, real analysis is a basic requirement for every postgraduate student. Does this mean the field of applied fluid mechanism does not require students with solid math background? What does it imply if a professor is included in applied math department? Does this indicate he/she will supervise a student with only math background? Or does this mean he/she has an intention to publish papers in math journals?
Thanks for your help!