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Coupled PDE situation

  1. Oct 15, 2011 #1
    Hello,

    It has taken me a long time to try and figure out what a system of coupled PDEs actually IS-and I still can't get a straight answer.

    For example I have a system:

    [itex]\dot{M}[/itex]=-LvM

    [itex]\dot{N}[/itex]=-Lv+wN

    where here ,L, represents the lie derivative and M, N , v, w, are all elements of the sets of vector fields on a manifold. And I want to write this system as a pair of coupled PDEs with independent variables (x,t)[itex]\in[/itex]ℝxℝ.
    I hope this question is clear and please answer sooner rather than later if you can.
     
  2. jcsd
  3. Oct 17, 2011 #2
    Any thoughts at all-passing notions even would really help. Even if it's to say I'm making no sense or asking something trivial.

    In all honesty I really do have this problem: what are coupled PDEs? I can't get a straight answer anywhere.

    Although I am very new to Physics Forums-and apologise for joining just to inundate with questions-I plan, as soon as I'm out of my current deadline to join other threads-is there a protocal I've missed?
     
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