Question

say some real life application of partial differential equation..

Answer 1

I'd say Maxwell's equations (in differential form, that is), vibrating strings problems, Brachistochrone problem. From the first, we have the foundations of Electrical Engineering, from the second, a lot of cool physical implications that can be extended for the study of vibrating membranes. Also, some PDE show up in the Gersho-Rosencwaig model for spectroscopy and some laser intensity equations, if I remember correctly, use PDEs. That's only mentioning physics, but there are applications elsewhere (finances, biology, etc).

Answer 2

here's a simple, albeit physics-related problem that has yet to be solved
very real-life
http://openstudy.com/study#/updates/4f47a7d0e4b00aeb3e3ee1f2
I think this is a good example

Answer 3

oh sorry you said PDF
...never mind :(

Answer 4

*PDE

Answer 5

Maxwell's equations, Heat-transfer, Aerodynamics are the most common examples.

But they show up in basic laws of physics like Shrodinger's equation or Einsteins equation in General Relativity.

Answer 6

@TuringTest That's quite cool. I will definitely try it later. Thanks :-)