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The statement that a property of a system does not change if the system is isolated.

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Continuity equation for velocity Jacobian

I heard in class that for a given velocity field $u$, $$f := \det J_u$$ (the determinant of the Jacobian of $u$) satisfies the following: $$f_t + div(f u) = 0$$ with $f(0)=1$. I cannot convince mys …
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