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Mass Conservation in Kinetic Theory

In chapter 9 (The Boltzmann Equation) of Schwabl's 2006 text 'Statistical Mechanics', the author has the following statement of conservation of mass, $$ \frac{\partial n}{\partial t} + \nabla \mathrm{...
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Difference between $dM/dt $ and $\partial M/\partial t$ [duplicate]

$\frac{dM}{dt} = 0$ represents a constant of motion $M.$ Why not $\frac{\partial M}{\partial t}$ represent a constant of motion $M$?