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PDE wave equation + energy

  1. Mar 16, 2013 #1
    1. The problem statement, all variables and given/known data

    Just looking back through my notes and it looks like I'm missing some. Just a few questions.

    For one example in the notes I have the wave utt-c2uxx + u3 = 0 and that the energy density 1/2u2t + c2/2u2x + 1/4u4

    I have that the differential form of energy conservation is εt = μx + (wave equation)μt = μx for solutions.

    First question, what is the integral form of energy conservation?

    The notes then say that here μ = c2utux. Why is this?

    Also what is the difference between global and local form of energy conservation? Is it just that local has finite limits?

    Are there any websites or online notes that might have some of this info? I searched a lot but can't find much

    Thanks!
     
  2. jcsd
  3. Mar 18, 2013 #2

    I like Serena

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    Homework Helper

    Hey Maybe_Memorie! :smile:

    I think that before we can give an answer, we first need some definitions.
    What does each of your symbols represent?
    And what do they mean?
    To be honest, I felt a bit reluctant to respond, since I have no idea what I'm getting into with these fragments of information.

    Btw, are you still 17? (Your blog says so. :wink:)
     
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