Question about laplace

  • Thread starter Qyzren
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  • #1
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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
or
∂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.
 

Answers and Replies

  • #2
HallsofIvy
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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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