Can three people here post one hard physics problem for me to solve??!
(That's one person per problem)
 Recognitions: Gold Member Homework Help Science Advisor 1) Give a rigourous derivation of the Yang-Mills equations 2) Prove, that under smooth initial conditions, the Navier-Stokes equations will not blow up in finite time. 3) Determine the range of initial conditions three bodies solely attacted by mutual gravity can have in order to exhibit periodic motion. Good luck!
 Blog Entries: 9 Recognitions: Homework Help Science Advisor That's not fair,Arildno,you took all three of them... Here are my three: 1.Derive the effective action of QED in the first order of perturbation theory (i had this problem at the QFT exam,last year). 2.Derive the Poisseuille-Hagen formula (1839) starting from the Navier-Stokes equations. 3.Prove that Abraham-Lorentz equations are violating the principle of causality. Daniel.

He only wanted one problem per person, arildno.

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 Quote by rachmaninoff He only wanted one problem per person, arildno.
Well, but I gave him CHOICES, didn't I?
He can pick the easiest one if he likes.
 arildno and dextercioby, pick one problem that you want me to solve.
 Recognitions: Gold Member Homework Help Science Advisor A bit more serious, I'll pick Daniel's 2. (It's at least doable, and not too difficult)

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 Quote by Stargate arildno and dextercioby, pick one problem that you want me to solve.
The first in the most interesting.Pick the first.Pay attention with your calculation,though.

Daniel.
 I need one more problem from a different person and I'll get back to you by next monday. Ok?
 You guys,this is a K-12 forum! You can't assume graduate level knowledge here. Here's my one, HS-level problem: 1) A 53.0kg spherical projectile, 27.0cm in radius, is fired at an angle 38.5 degrees to the horizontal at 12,350 m/s. Find the maximum height by Euler's method approximation (h = 0.0005) without using electronic aids (you'll need a bit of paper for this). Keep in mind the gravitational force will not be constant. Include air resistance.
 Blog Entries: 9 Recognitions: Homework Help Science Advisor Hey,man,this is K-12.Air resistance is usually proportional with velocity,somtimes even with its square.Nonhomogenous gravity field+air resistance:that's a horrible diff.eq.he'll be getting.Without air-resistance,maybe he'll have a chance. Daniel.
 I apologize, this whole thread is being quite inconsiderate, myself included. A solvable problem: What is the altitude of a satellite in geostationary orbit, given that there are 86,400 seconds in a day, and $$r_{earth{$$ = 6,370km? (fun problem, really)