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Unformatted text preview: 1. Let the vector U be deﬁned as
u
v U=
Then the equation can be written as Ut = AUx + BUy
where
A= 0
1
−1 0 B= −1 0
0
1 The eigenvalues of A are
λ −1
1λ
or λ2 + 1 = 0
λ = ±i So the system behaves like elliptic in the x, t space
The eigenvalues of B are
λ+1 0
0
λ−1
or λ2 − 1 = 0
λ = ±1
So the system behaves like hyperbolic in the y, t space 220 ...
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This note was uploaded on 12/22/2011 for the course MAP 2302 taught by Professor Bell,d during the Fall '08 term at UNF.
 Fall '08
 BELL,D

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