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A <br />
V r V η <br />
<br />
A <br />
r = R <br />
∂V η<br />
<br />
∂r<br />
<br />
A <br />
<br />
<br />
<br />
1<br />
r ∆θϕA = − ∂2V r<br />
∂t<br />
∂A A<br />
+<br />
∂r r = ∂2V η<br />
∂t<br />
2 , <br />
, . <br />
2<br />
<br />
A <br />
A <br />
<br />
<br />
<br />
<br />
<br />
V µ V r V µ V η <br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
V µ V η <br />
<br />
<br />
∀t ≥ 0, V µ (t, R, θ, ϕ) = b µ<br />
0(t, θ, ϕ),<br />
∂V r (t, R, θ, ϕ)<br />
∂r<br />
V η (t, R, θ, ϕ) = b η<br />
0(t, θ, ϕ),<br />
+ 2<br />
r V r (t, R, θ, ϕ) = − 1<br />
r<br />
∆θϕb η<br />
0(t, θ, ϕ). <br />
<br />
<br />
<br />
<br />
<br />
<br />
V i