GLOSSARY

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\frac{D {\bf u}}{Dt}  = \frac{1}{\rho} \nabla {\bf \sigma} + {\bf g}

where

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body( t, {\bf r} )

time and spatial variables

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body{\bf u}(t, {\bf r})

velocity of  Continuum Body 

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body\rho(t, {\bf r})

density of  Continuum Body 

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body\sigma(t, {\bf r})

stress tensor of Continuum Body 

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body{\bf g}(t, {\bf r})

sum of all body forces exerted on Continuum Body 

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body--uriencoded--%7B\bf f%7D_%7B\rm cnt%7D(t, %7B\bf r%7D)

volumetric density of all contact forces exerted on Continuum Body

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body\frac{D}{Dt}

Material derivative of the Continuum Body motion


In Fluid Mechanics it's known as Navier–Stokes equation:

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