Fluid which density is not varying over time:
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\frac{d \rho}{dt} = \frac{\partial \rho}{\partial t} + {\bf u} \cdot \nabla \rho = 0 |
The matter which density is not dependant on pressure
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\rho(p, T) = \rho_0 = {\rm const} |
which is equivalent to to zero compressibility:
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c(p) \equiv 0 \Leftrightarrow \frac{d \rho}{ dp} = 0 |
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