The matter which density is not dependant dependent on pressure
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\rho(p, T) = \rho_0(T) = {\rm const} |
which implies that compressibility is equivalent to zero compressibility:
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c(T, p) \equiv 0 \Leftrightarrow \frac{d \rho}{ dp} = 0 |
where
Incompressible matter does not exist but in many practical applications the pressure variation may stay within the sufficiently narrow range where a given matter can be considered as incompressible.
See also
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Physics / Fluid (PVT) Analysis / Fluid (PVT) modelling / Compressibility
[ Incompressible flow ] [ Incompressible fluid ]
