characteristic variables for one transport equation

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Moritz
Moritz le 1 Mar 2013
Hi,
i am a bit confused. Hope someone can help me out. Consider the equation du/dt+a(u)du/dx=0
if you would have to get the characteristic variables. How would you do that. I know it for a system of equations but not for one equation.
The goal would be to provide a numerical no flux boundary.
I appreciate any hint.

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