Solving Continuity Equation: Div & Time Derivative

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Thread starter lukaszh
Start date Apr 1, 2009
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Continuity Continuity equation

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lukaszh

Thread starter
Apr 1, 2009

To solve
[tex]\frac{\partial\varrho}{\partial t}+\mathrm{div}(\varrho\vec{v})=0[/tex]

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isabelle

Apr 1, 2009

That is the continuity equation, it expresses the fact that the total time derivative of rho is zero. But if v is also an unknown vector function, then you have four unknowns and one equation so the system is underdetermined.

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Solving Continuity Equation: Div & Time Derivative

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