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Question about laplace

  1. Oct 27, 2008 #1
    i'm a little bit confused.
    if the velocity potential Φ = Φ(x,y,t).
    and it says Φ satifies laplace's equation.
    does that mean ∂²Φ/∂x² + ∂²Φ/∂y² = 0
    ∂²Φ/∂x² + ∂²Φ/∂y² + ∂²Φ/∂t² = 0.

    does the time variable get included??

    i'm thinking it isn't but i'm not exactly sure.
  2. jcsd
  3. Oct 27, 2008 #2


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    Staff Emeritus
    Science Advisor

    Laplace's equation is
    [tex]\frac{\partial^2 \phi}{\partial x^2}+ \frac{\partial^2 \phi}{\partial y^2}= 0[/itex]
    . Usually, Laplaces's equation is for functions that are independent of t.
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